What is the numerator of the simplified sum?

StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction

What Is The Numerator Of The Simplified Sum?StartFraction X Over X Squared + 3 X + 2 EndFraction + StartFraction

Answers

Answer 1

Answer:

4x + 6

Step-by-step explanation:

[tex] \frac{x}{x² + 3x + 2} + \frac{3}{x + 1} [/tex]

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]

[tex] \frac{x + 3(x + 2)}{(x + 1)(x + 2)} [/tex]

[tex] \frac{x + 3x + 6)}{(x + 1)(x + 2)} [/tex]

[tex] \frac{4x + 6)}{(x + 1)(x + 2)} [/tex]

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

Answer 2

Answer:

C - 4x+6

Explanation:

Edg2020


Related Questions

Help me find volume for this given radius please

Answers

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

  = 4/3 pi ( 7)^3

  = 1372/3 pi in^3

Using 3.14 for pi

V =1436.0266666 in^3

Using the pi button

1436.75504 in^3

PLEASE HELP!!! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?

Answers

Step-by-step explanation:

The difference between. Each numbers is 5 so, it's answer is 22 and 27

What is the answer? ACB ~ EFD

Answers

Answer:

y=4

solution,

[tex] \frac{ac}{ef} = \frac{cb}{fd} \\ or \: \: \frac{12}{y} = \frac{15}{5} \\ or \: 15 \times y = 12 \times 5( \: cross \: multiplication) \\ or \: 15y = 60 \\ or \: y = \frac{60}{15} \\ y = 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

The value of y is 4

Step-by-step explanation:

What is similarity ?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given,

ΔACB~ΔEFD

The proportional sides are equal.

[tex]\frac{AC}{EF}=\frac{CB}{FD}=\frac{AB}{DE} \\\frac{12}{y}=\frac{15}{5} \\y=12*\frac{5}{15}\\\\ y=4[/tex]

To know more about similarity, similar here

https://brainly.com/question/25087910

#SPJ2

1. The graph of yf(x) is translated 3 units right and 4 units down. What is the equation of the translation
image in terms of the function ?
A. Y-3 = f(x+4)
B. y + 4 = f(x-3)
C. y + 3 = f(x-4)
D. y - 4 = f(x + 3)

Answers

Answer:

D.y-4=f(x+3)

Step-by-step explanation:

The correct translation would be y-4 because the y-coordinate moves down 4 units and f(x+3) because the x-coordinate would move 3 spaces to the right.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The equation of the translation image of the function is  y - 4 = f(x + 3).

which is the correct answer would be an option (D).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

To determine the graph of y (x) is translated as 3 units right and 4 units down.

The x-coordinate will increase by 3 if we move it to the right.

If we shift it downward, it will become negative and read as y - 4.

So y - 4 = f(x + 3)

Therefore, the equation of the translation image of the function is  y - 4 = f(x + 3).

Learn more about the graph here:

brainly.com/question/16608196

#SPJ2

7. Factor by grouping.
6p2 - 17p - 45
A (2p - 9)(3p + 5)
B (2p + 9)(3p + 5)
7096
Oc
C (2p - 9)(3p - 5)
90%
D (2p + 9)(3p - 5)
ping​

Answers

Answer:

Step-by-step explanation: 4

A simple random sample of size has mean and standard deviation.Construct a confidence interval for the population mean.The parameter is the population The correct method to find the confidence interval is the method.

Answers

ANSWER:

EXPLANATION:

A simple random sample of size has mean and standard deviation. Construct a confidence interval for the population mean. The parameter is the population The correct method to find the confidence interval is the method.

The sample size is not given. Mean and Standard Deviation are not given.

To construct a confidence interval for the population mean, first find out the margin of error of the sample mean. This is why you need a confidence interval. If you are 90% confident that the population mean lies somewhere around the sample mean then you construct a 90% confidence interval.

This is equivalent to an alpha level of 0.10

If you are 95% sure that the population mean lies somewhere around the sample mean, your alpha level will be 0.05

In summary, get the values for sample size (n), sample mean, and sample standard deviation.

Make use of a degrees of freedom of (n-1).

find the slope-intercept equation of the line passing through the point (2,1) with the slope of m=3

Answers

Answer:

y-1 = 3(x +2)

Step-by-step explanation:

Ok, so the point-slope form is:

y-k = m(x-h)  where m is the slope and (h,k) is the given point.

 

Since you are given  m = 3 ,  and (h,k) = (-2,1)

y-1 = 3(x +2)

 

Since your question specified using the point-slope form, make sure you use this equation when answering it. Otherwise, you may get it wrong.

Try it
Evaluate the function g(x) = -2x² + 3x – 5 for the input values -2, 0, and 3.
g(-2) = -2(-2)2 + 3(-2) - 5
g(-2) = -2(4) - 6-5
g(-2) = ?
g(0) =?
g(3) =?

Answers

Answer:

g(-2) = -19g(0) = -5g(3) = -14

Step-by-step explanation:

When you have several evaluations to do, it is often convenient to put the formula into a graphing calculator or spreadsheet.

__

If you must evaluate a polynomial by hand, it is often easier if the expression is written in "Horner form":

  g(x) = (-2x +3)x -5

Then we have ...

  g(-2) = (-2(-2) +3)(-2) -5 = 7(-2) -5 = -19

  g(0) = (-2(0) +3)(0) -5 = -5

  g(3) = (-2(3) +3)(3) -5 = (-3)(3) -5 = -14

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)∫414√lnxdx,n=6

Answers

Answer:

trapezoidal rule: 14.559027midpoint rule: 14.587831Simpson's rule: 14.577542

Step-by-step explanation:

We assume you want the integral ...

  [tex]\displaystyle\int_4^{14}{\sqrt{\ln{x}}}\,dx[/tex]

The width of each interval is 1/6 of the difference between the limits, so is ...

  interval width = (14 -4)/6 = 10/6 = 5/3

Then the point p[n] at the left end of each interval is ...

  p[n] = 4 +(5/3)n

__

Trapezoidal Rule

The area of a trapezoid is the product of its average base length multiplied by the width of the trapezoid. Here, the "bases" are the function values at each end of the interval. The integral according to the trapezoidal rule can be figured as ...

  [tex]\dfrac{5}{3}\sum\limits_{n=0}^{5}\left(\dfrac{f(p[n])+f(p[n+1])}{2}\right)[/tex]

  integral ≈ 14.559027

If you're doing this on a spreadsheet, you can avoid evaluating the function twice at the same point by using a weighted sum. Weights are 1, 2, 2, ..., 2, 1.

__

Midpoint Rule

This rule uses the area of the rectangle whose height is the function value at the midpoint of the interval.

  [tex]\dfrac{5}{3}\sum\limits_{n=0}^{5}{f(p[n+\frac{1}{2}])}[/tex]

  integral ≈ 14.587831

__

Simpson's Rule

This rule gives the result of approximating the function over each double-interval by a parabola. It is like the trapezoidal rule in that the sum is a weighted sum of function values. However, the weights are different. Again, multiple evaluations of the function can be avoided by using a weighted sum in a spreadsheet. Weights for 6 intervals are 1, 4, 2, 4, 2, 4, 1. The sum of areas is ...

  [tex]\dfrac{10}{3}\sum\limits_{n=0}^{2}{\left(\dfrac{f(p[2n])+4f(p[2n+1])+f(p[2n+2])}{6}\right)}[/tex]

  integral ≈ 14.577542

what is refraction of light​

Answers

Answer:

Refraction is what happens when light passes through some medium and changes it's direction because of it. For instance, when light travels through a lens light is bent as it goes from air to glass and back to air again. :)

A human resources specialist is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 61 people are unemployed. The following is the setup for this hypothesis test:

H0:p=0.05

Ha:p<0.05

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-1.8 0.036 0.035 0.034 0.034 0.033 0.032 0.031 0.031 0.030 0.029
-1.7 0.045 0.044 0.043 0.042 0.041 0.040 0.039 0.038 0.038 0.037
-1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046
-1.5 0.067 0.066 0.064 0.063 0.062 0.061 0.059 0.058 0.057 0.056
-1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068

Answers

Answer:

P-value =0.062

At a signficance level of 0.05, there is not enough evidence to support the claim that the unemployment rate is less than 5%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the unemployment rate is less than 5%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.05\\\\H_a:\pi<0.05[/tex]

The significance level is 0.05.

The sample has a size n=1500.

The sample proportion is p=0.041.

[tex]p=X/n=61/1500=0.041[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.05*0.95}{1500}}\\\\\\ \sigma_p=\sqrt{0.000032}=0.0056[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.041-0.05+0.5/1500}{0.0056}=\dfrac{-0.0087}{0.0056}=-1.5401[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.5401)=0.062[/tex]

As the P-value (0.062) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the unemployment rate is less than 5%.

PLEASE ANSWER FAST!! THANK YOU :)

Answers

Answer:

option 1 both statements are true

Step-by-step explanation:

Prove by PMI -- Principle of Mathematical  Induction

1) n³ + 2n

n= 1 , 1³ +2*1 = 1+2 = 3 = 3*1   ---->divisible by 3

n = 2 ; 2³ + 2*2 = 8+4 = 12  = 3*4  ----> is divisible by 3

Assume that It is valid for n = k ;  

[tex]k^{3}+2k[/tex] = 3*m -----(I) , for all m ∈ N

We have to prove for n =k +1 , the statement is true.

n = k+1, [tex](k+1)^{3}+2(k +1) =k^{3}+3k^{2}+3k +1 +2k +2[/tex]

                                           = k³ + 3k² + 3k + 3 + 2k

                                           =  k³ +  2k + 3k² + 3k + 3

                                           = 3m + 3 (k² + k + 1)

                                          = 3(3 + [k² + k + 1] ) is divisible by 3

Therefore, this statement is true

2) [tex]5^{2n}-1\\[/tex]

[tex]n=1 ; 5^{2}-1 = 25 -1 = 24 divisible by 24\\\\n = 2 ; 5^{2*2}-1 = 5^{4}-1 = 625 - 1 = 624 divisible by 24[/tex]

This statement is also true

Please answer this correctly

Answers

Answer:

60%

Step-by-step explanation:

Total Cards = 5

Even Numbers = 3

P(even) = 3/5

In %age:

=> 60%

Answer:

60%

Step-by-step explanation:

The numbers that are even from the list are 2, 4, and 6.

3 numbers are even out of 5 total numbers.

3/5 = 0.6

P(even) = 60%

The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is measured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time. Question 1 options: 6t3 – 5 5t3 + 6 6t2 + 5 5t2 – 6

Answers

Answer:

(C)[tex]6t^2+5[/tex]

Step-by-step explanation:

Given the distance, d(t) of a particle moving in a straight line at any time t is:

[tex]d(t) = 2t^3 + 5t - 2, $ where t is given in seconds and d is measured in meters.[/tex]

To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).

[tex]v(t)=\dfrac{d}{dt}\\\\v(t) =\dfrac{d}{dt}(2t^3 + 5t - 2) =3(2)t^{3-1}+5t^{1-1}\\\\v(t)=6t^2+5[/tex]

The correct option is C.

Answer:

6t2+5

Step-by-step explanation:

Vickie buys a pack of 30 folders. She keeps 15 for herself and divides the rest between three of her friends. Which equation will help us find the number of folders each friend gets? *

Answers

Answer: 30 folders - 15 folders which she keeps = 15 folders; 15 folders / 3 friends = 5 folders per firend.

Step-by-step explanation:

Answer:

x= (30 -15)/3

Step-by-step explanation:

Number of folders = 30Kept for herself = 15 foldersDivided = the reminderNumber of friends= 3Each friend gets= ?

If we call x the number each friend gets, then the equation is:

x= (30 -15)/3

Solving this we get:

x= 5

Each friend gets 5 folders

Which expression correctly represents “six more than the product of five and a number, decreased by one”?

Answers

Answer:

Step-by-step explanation:

Product of 5 and a number:  5n

Six more than that would be 5n + 6

Finally, "six more than the product of 5 and a number, decreased by one" would be

5n + 6 - 1, or 5n + 5

Answer: A) 6 + 5n - 1

Step-by-step explanation: edge. 2022

Discuss Mason's notion that you are to be an engineer first and a statistician second. What does that mean to you in terms of how you think about the career you are studying to begin, and how do you think this class might impact a job interview you might ultimately go on later in your studies

Answers

Answer:

The answer is explained below

Step-by-step explanation:

What use are statistics if there is no engineer to use them? In other words, a statistician corrects, improves, reinforces, and supports an engineer in building / designing / developing a new product and / or improving an existing product.

The statistician provides a special kind of vision through which I see the same problem in a completely different vision. So you can see the strengths, weaknesses of my product and the promise of improvements that can be made.

Each class of statistics is essential for a student to see and understand a problem in a whole new way where it is much easier to understand information.

The rectangle is three times its width.
If the perimeter of the rectangle is 80in, find its length and width.

Answers

Answer:

Length= 30 in

Width= 10 in

Step-by-step explanation:

Let the width of the rectangle be x in.

Length of rectangle

= 3 (width)

= 3x

Perimeter of rectangle= 2(length) +2(width)

80= 2(3x) +2(x)

80= 6x +2x

8x= 80 (simplify)

x= 80 ÷8 (÷8 on both sides)

x= 10

Thus width of rectangle= 10 in

Length of rectangle

= 3(10)

= 30 in

Do 2b+ b and 3b have the same value for all values of b? explain your reason

Answers

Answer:

Yes

Step-by-step explanation:

b is as in 1b so. . .

2 + 1 = 3

We can plug in b or as "b"

2b + b = 3b

So yes in whatever case 2b + b's value  will always equal 3b's value

Answer:

yes

Step-by-step explanation:

because you can use any number to put for B and they will have the same value as an example we will use 3 for b so 2b = 6 + b = 9 and 3b = 9

A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 20 ft longer than the width. The farmer can use no more than 100 ft of fencing. What is the pen’s greatest possible length? Let w represent the width of the pen. What expression represents the length?

Answers

Answer:

Width is 15, length is 35.We can check our answer by multiplying the length by 2 and the width by two in order for the perimeter to be equal to 200.15 times 2 is 30 and 35 times two equals 70.70+30=100 so our solution satisfies our problem.

Step-by-step explanation:

Let the width be x.Then the length should be x+20.The farmer can’t use more than 100 ft of fencing and by mentioning enclosing a rectangle area for a pigpen, we can tell that 100 is the perimeter.So 2(x+20) + 2(x)=100.2x+ 40 + 2x=100.4x+40=100.4x=60.X is 15 which is the width so then the length is 35.

enter the range of values for x

Answers

Answer:

5<X<29

solution,

[tex]48 > 2x - 10 \\ 48 + 10 > 2x \\ \frac{58}{2} > \frac{2x}{2} \\ 29 > x \\ x < 29[/tex]

but,

[tex]2x - 10 > 0 \\ \frac{2x}{2} > \frac{10}{2} \\ x > 5 \\ \\ 5 < x < 29 \: is \: the \: answer.[/tex]

Hope this helps...

Good luck on your assignment..

The range of value of x is 5 < x < 29.

What is quadrilateral?

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

Given:

A quadrilateral ABCD.

From the diagram,

2x - 10 < 48

2x < 58

x < 29.

And 0 < 2x - 10

10 < 2x

5 < x

Therefore, the range is 5 < x < 29.

To learn more about the quadrilaterals;

https://brainly.com/question/6321910

#SPJ5

The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area and the perimeter of the shape?

Answers

Answer:

Area = 7 square units

Perimeter = 14 units

Step-by-step explanation:

The shape is made up of 7 identical squares and, we are told the side length of each square is 1 unit.

==>Find area of the shape by calculating the area of 1 square, then multiply by the number of square used in the construction.

Thus, area of 1 square = s² = 1² = 1 square units.

Area of shape = 7 × 1 square units = 7 square units

==>Find the Perimeter of the shape by adding all the lengths of the boundary formed by the square to make up the shape.

(Check attachment to understand how we got the measurement of the boundary)

The perimeter = 1 + 1 + 1 + ½ + ½ + 1 + 1 + 1½ + ½ + 1 + 1 + 4 = 14 units

Solve by completing the square: 5x2 + 20x + 32 = 0

Answers

your answer is no solution (because a negative square root doesn't exist)
first, you divide all sides by five and then take b, half it then square it

choose the function that has domain x ≠ -3 range y ≠ 2.

Answers

The function is f(x)= 2x+1/x+3.

How to find the domain of a function?

A work domain is a set of all possible inputs for a job. For example, the domain f (x) = x² is all real numbers, and the domain g (x) = 1 / x is all real numbers except x = 0. And we can define the special functions of its most limited domains.

Which function has the domain and range?

The function domain f (x) is a set of all values ​​defined by the function, and the scope of the function is a set of all values ​​taken by f. (In grammar school, you probably call the domain a set of substitutes and a set of solutions.

Learn more about the function domain here:  brainly.com/question/24090845

#SPJ2

Answer:

B

Step-by-step explanation:

i got it right! :)

Pls answer the 8 th question pls

Answers

Answer:

The simplified expression is:

[tex]\dfrac{-7}{10}p^2q^2r+\dfrac{1}{2}pq^2r-\dfrac{11}{28}pqr^2+\dfrac{1}{8}p^2qr[/tex]

Step-by-step explanation:

To find:

[tex]-\dfrac{1}{2}p^{2} q^{2} r+\dfrac{1}{3}p q^{2} r-\dfrac{1}{4}p q r^{2}-\dfrac{1}{5}rq^{2} p^{2} +\dfrac{1}{6}rq^{2} p-\dfrac{1}{7}r^{2}pq+\dfrac{1}{8}rp^{2}q[/tex]

Solution:

We can see that pqr having power 1 is common throughout.

Let us take it common to make the expression simpler and then we will add by taking LCM:

[tex]\Rightarrow pqr(-\dfrac{1}{2}p q+\dfrac{1}{3}q-\dfrac{1}{4}r-\dfrac{1}{5}pq+\dfrac{1}{6}q-\dfrac{1}{7}r+\dfrac{1}{8}p)\\\Rightarrow pqr(-\dfrac{1}{2}p q-\dfrac{1}{5}pq+\dfrac{1}{3}q+\dfrac{1}{6}q-\dfrac{1}{4}r-\dfrac{1}{7}r+\dfrac{1}{8}p)\\\Rightarrow pqr(\dfrac{-5pq-2pq}{2\times 5}+\dfrac{2q+q}{2 \times 3}+\dfrac{-7r-4r}{7 \times 4}+\dfrac{1}{8}p)\\\Rightarrow pqr(\dfrac{-7pq}{10}+\dfrac{3q}{6}+\dfrac{-11r}{28}+\dfrac{1}{8}p)\\\Rightarrow pqr(\dfrac{-7}{10}pq+\dfrac{1}{2}q+\dfrac{-11}{28}r+\dfrac{1}{8}p)[/tex]

Now, multiplying pqr again to the expression:

[tex]\Rightarrow \dfrac{-7}{10}p^2q^2r+\dfrac{1}{2}pq^2r-\dfrac{11}{28}pqr^2+\dfrac{1}{8}p^2qr[/tex]

So, the answer is:

[tex]\dfrac{-7}{10}p^2q^2r+\dfrac{1}{2}pq^2r-\dfrac{11}{28}pqr^2+\dfrac{1}{8}p^2qr[/tex]

1/4 ÷ 3/8 simplest form

Answers

Answer:

2/3

Step-by-step explanation:

divide by a fraction = multiply by reciprocal

1/4 * 8/3

2/3

Answer:

Step-by-step explanation:

= ¼ ÷ ⅜

= ¼ × ⁸/3

= ⅔

Have a great day !

A flagpole is casting a 20 feet shadow. the flagpole measures 16 feet find the angle of elevation of the sun

Answers

Answer:

39°

Step-by-step explanation:

==>Given:

Shadow length = 20ft

Flag height = 16ft

==>Required:

Angle of elevation of sun (θ)

==>Solution:

To calculate the angle of elevation of the sun, recall the trigonometry formula SOHCAHTOA.

We are given adjacent side = 20ft, and opposite side = 16ft

Therefore, we would use TOA, which is:

tan θ = Opposite/Adjacent

tan θ = 16/20

tan θ = 0.8

θ = 38.6598083 ≈ 39°

Angle of elevation of the sun = 39°

The vertex of this parabola is at (3,5) when the y-value is 6 the x value -1 what is the coefficient of the squared term in the parabolas equation

Answers

Answer:

1/16

Step-by-step explanation:

Here,

Vertex =(3,5)

x= -1, y=6

Simply,eqn of parabola is given by ax^2+bx+c=y

So, coefficient of squared term (x^2) is 'a'

Therefore, we've to find the value of a

Moving on to solution:

a-b+c=6 ___(i) (by putting the given values of x and y in eqn of parabola )

We know that,

Vetex=(-b/2a, ( 4ac-b^2)/4a)

(3,5) = (-b/2a , (4ac-b^2)/4a)

Equating corresponding sides,we get

3= -b/2a

b=-6a___(ii)

Again,

5=(4ac-b^2)/4a

5=(4ac/4a) - (b^2/4a)

5= c- (36a^2/4a) (by putting value of b from eqn ii )

5= c-9a___(iii)

Now,moving back to the first eqn

a+6a+5+9a=6

16a=1

therefore,a=1/16

Hence ,the required value of coefficient of squared term is 1/16.

I tried my best to give clear explanation as much as I know. It's just we've have to find the value of a . For that, you can use any method you find easier.

Write the function whose graph is the graph of y= Vx, but is translated 5 units downward.

Answers

Answer:

y = Vx - 5

Step-by-step explanation:

shift down is -5

y = Vx - 5 is the function whose graph is the graph of y= Vx, but is translated 5 units downward.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function y = Vx represents the square root function, which is a graph of a half of a parabola opening upwards and passing through the point (0, 0).

To translate this function 5 units downward, we need to subtract 5 from the function. Therefore, the function we need is:

y = Vx - 5

This is the square root function shifted downward by 5 units.

The graph of this function will be the same as the graph of y = Vx, but shifted 5 units downward.

Hence, y = Vx - 5 is the function whose graph is the graph of y= Vx, but is translated 5 units downward.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

please simplfy this equation

Answers

Answer:

0

Step-by-step explanation:

√12 can be rewritten as √2²·3 = 2√3

√75 can be rewritten as √5²·3 = 5√3

2/5 * 5 = 2

so

2√3 - 2/5 * 5√3 = 2√3 - 2√3 = 0

Answer:

0

Step-by-step explanation:

Other Questions
A.Choose the correct food chain from the following:a. Grass lion deerb. Insect leaves birdc. Grains - rat owld. Bird - insect - leaves please help in this question please What role did the Western Church play in inciting the Crusades? You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be? B. What will your monthly payments be if the interest rate 5%? C. What will your monthly payments be if the interest rate is 6%? Towns K and L are shown on a map-a) Work out the actual distancebetween towns K and L.b) A third town, M, is 150 km dueSouth of town K.Mark M on the map with X.c) Measure the bearing of town Lfrom town K. A stock just paid a dividend of $3. The stock is expected to increase its dividend payment by 30% per year for the next 3 years. After that, dividends will grow at a rate of 8% forever. If the required rate of return is 10%, what is the price of the stock today? In the intrinsic pathway, the reaction begins with clotting factors from the _. What can you infer about the results of numerical models in 1966 for polar capsmade of water ice? When faced with symptoms of counselor burnout and/or compassion fatigue, what support would you seek in communicating with your clinical supervisor? ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 y 30 40 x 100 0 x 30 40 y 100 awarding branliest for first correct answer HURRY GO GO GO GO! What was the circular trade that the Portuguese developed in their colonies? James Madison address the issue of class in the composition of the House of Representatives in Federalist Paper #57 Write a Narrative Essay The firm uses the periodic system, and there are 25 units of the commodity on hand at the end of the year. What is the amount of the inventory at the end of the year using the LIFO method? a. $1,805 b. $1,575 c. $3,815 d. $1,685 How do I find the vertex of -3x^2+6x+17 The excerpt below is from "Of Mr. Booker T. Washington and Others" in The Souls of Black Folk by W.E.B. Du Bois: Mr. Washington distinctly asks that black people give up, at least for the present, three things, First, political power, Second, insistence on civil rights, Third, higher education of Negro youth,and concentrate all their energies on industrial education, and accumulation of wealth, and the conciliation of the South. This policy has been courageously and insistently advocated for over fifteen years, and has been triumphant for perhaps ten years. As a result of this tender of the palm-branch, what has been the return? In these years there have occurred: 1. The disfranchisement of the Negro. 2. The legal creation of a distinct status of civil inferiority for the Negro. 3. The steady withdrawal of aid from institutions for the higher training of the Negro. These movements are not, to be sure, direct results of Mr. Washington's teachings; but his propaganda has, without a shadow of doubt, helped their speedier accomplishment. The question then comes: Is it possible, and probable, that nine millions of men can make effective progress in economic lines if they are deprived of political rights, made a servile caste, and allowed only the most meager chance for developing their exceptional men? If history and reason give any distinct answer to these questions, it is an emphatic NO. and The excerpt below is from the General Introduction to Tuskegee and Its People by Booker T. Washington: Institutions, like individuals, are properly judged by their ideals, their methods, and their achievements in the production of men and women who are to do the world's work. One school is better than another in proportion as its system touches the more pressing needs of the people it aims to serve, and provides the more speedily and satisfactorily the elements that bring to them honorable and enduring success in the struggle of life. Education of some kind is the first essential of the young man, or young woman, who would lay the foundation of a career. The choice of the school to which one will go and the calling he will adopt must be influenced in a very large measure by his environments, trend of ambition, natural capacity, possible opportunities in the proposed calling, and the means at his command. In the past twenty-four years thousands of the youth of this and other lands have elected to come to the Tuskegee Normal and Industrial Institute to secure what they deem the training that would offer them the widest range of usefulness in the activities open to the masses of the Negro people. Their hopes, fears, strength, weaknesses, struggles, and triumphs can not fail to be of absorbing interest to the great body of American people, more particularly to the student of educational theories and their attendant results. Based on these passages, what is the main difference between the teachings of W.E.B. DuBois and Booker T. Washington? Washington saw the benefits of education, and DuBois believed it conflicted with progress. Washington insisted on political and civil rights, and DuBois demanded economic progress. Washington promoted self-reliance and the gradual advancement of the black people, and DuBois supports radical change. Washington approached the problem from a capitalist point of view, and DuBois approached it from a spiritual one. 2. 3 tacos cost $18.Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.Number of tacosCost in dollars6b. How did you find your answer? Read the sentences from the "Ellis Island Oral History Project" excerpt.But, being children, I guess, had its advantages, in this case because we always tried to get out of there. We tried to go, get out of the steerage, get out of the babble of voices, get out of the heat and the stench and get on the main deck. We all were permitted to stay there for a little while but we were constantly chased.What one word could describe the central idea of the sentences?A:strengthB:regretC:fairnessD:escape Denny Co. sells major household appliance service contracts for cash. The service contracts are for a one-year, two-year, or three-year period. Cash receipts from contracts are credited to Unearned Service Revenues. This account had a balance of $900,000 at December 31, 2011 before year-end adjustment. Service contracts still outstanding at December 31, 2011 expire as follows: Service contracts still outstanding at December 31, 2011 expire as follows: During 2012 $190,000During 2013 $285,000During 2014 $125,000 What amount should be reported as Unearned Service Revenues in Denny's December 31, 2011 balance sheet? a. $900,000 b. $600,000 c. $1,500,000 d. $300,000 In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.Create an explicit linear equation to model the change in median age over time. Use t for time (measured in decades since 1980) and a for median age (measured in years).