Save a wretched life by answering a geometry question in the pic
A.)10 B.)14 C.)7 D.)17

Answer:

p(x) = (x + 1)²(5x - 1)²

Step-by-step explanation:

Since we are given the 2 zeroes, we put them into binomial form:

(x + 1)(5x - 1)

We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:

(x + 1)²(5x - 1)²

When we multiply it out, we should get a polynomial with a degree of 4.

Answer:

4 + b² = 104

Hope this helps. :)

Answer:

b^{2}  + 4 = 104.

Step-by-step explanation:

The sum of 4 and the second power of b basically means 4 + b^2.

b^2 + 4 = 104

[tex]b^{2} + 4 = 104[/tex]

b^2 = 100

b = plus or minus 10.

Hope this helps!

Answer:

52

Step-by-step explanation:

Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:

360 - (128+126+54)

360 - 308

52

Answer:

52°

Step-by-step explanation:

The trapezoid is a closed figure, meaning all the angles must equal 360°.

1. Set up the equation

128° + 126° + 54° + ∠D = 360°

2. Solve for ∠D

360 - 128- 126- 54 = 52

∠D = 52°

You can also solve this by knowing that in a trapezoid:

∠A + ∠D = 180° and ∠B + ∠C = 180°

1. Set up the equation

128 + ∠D = 180°

2. Solve

180 - 128 = 52

∠D = 52°

Answer:

y = 4

Step-by-step explanation:

We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.

Answer:

4

Step-by-step explanation:

Answer:

59/130

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

Answer:

£7

Step-by-step explanation:

Let's call Josh's money 'J' and Leon's money 'L'.

Then, we can write the following system of equations:

[tex]J + L = 73[/tex]

[tex](J - 5) = 1.25(L - 5)[/tex]

From the first equation, we have:

[tex]J = 73 - L[/tex]

Using this value of 'J' in the second equation, we have:

[tex](73 - L - 5) = 1.25(L - 5)[/tex]

[tex]68 - L = 1.25L - 6.25[/tex]

[tex]2.25L = 74.25[/tex]

[tex]L = 33[/tex]

[tex]J = 73 - L = 73 - 33 = 40[/tex]

At the start Josh has £40 and Leon has £33, so the difference is:

[tex]J - L = 40 - 33 = 7[/tex]

Answer:

(0, 5), (0, 1), and (3, 1).

Step-by-step explanation:

If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.

Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).

Hope this helps!

Answer:

Option 2

Step-by-step explanation:

A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm

While a unit cube has a volume of 1 cubic cm

So,

2 cubes of these dimensions can fit into a unit cube.

Answer:

2

Step-by-step explanation:

volume of the unit cube:

V = 1 * 1 * 1 = 1

volume of the half-cube:

V = 1/2 * 1 * 1 = 1/2

number of half cubs that fit in unit cube:

1/(1/2) = 2

Answer: 2

Answer:

44%

Step-by-step explanation:

1% of 54 is 0.54

78/0.54=144.444444

-100% b/c that's the base

44% better

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

[tex]d=14-4\\d=10\ hours[/tex]

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

[tex]F= (24-22)+13\\F=15\ hours[/tex]

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

[tex]T=30-(15*1)\\T=15^oC[/tex]

Converting it to Fahrenheit

[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:b the probabilty that it contains nuts and is white

Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me

Conditional probability is represented by probability that the candy is blue

The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.  

The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.

: In case P(B)=0, the conditional probability of P(A | B) is undefined.  (the event B did not occur)

Given:

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not

Here we are only focusing on the red candy which shows we have reduce the sample space.

Learn more about conditional probability here:

https://brainly.com/question/13044823

#SPJ5

Answer:

The answer is D 4 seconds

Answer:

46.87

Step-by-step explanation:

V=*(A^3/2

)/36

V=*(46.87^3/2

)/36

Answer:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

[tex]x = arccos(0.7252)[/tex]

Using this function in a calculator (you may find it as: [tex]cos^{-1}(x)[/tex]), we have that:

[tex]x_1 = 43.5145\°[/tex]

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

[tex]x_2 = 360\° - 43.5145\° = 316.4855\°[/tex]

So the values of x are:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

Answer: 6

Step-by-step explanation:

38+x= 13+5+8+x

38+x=26+x

38-26=2x

12=2x

x=6

i think y= b^x because it is only the odd one from the group

Answer: n = 20

Step-by-step explanation:

Given that the problem goes thus:

When a number, n is added to 1/5 n of itself, the outcome obtained is 24.

Mathematically,

n + 1/5 of n = 24

n + (1/5n) = 24

1n + 1/5n = 24

(5n + 1n) / 5 = 24

6n / 5 = 24

6n = 24 × 5

6n = 120

n = 120 / 6

n = 20

Answer:

B on edg, n=20

Step-by-step explanation:

Answer:

-5cd

Step-by-step explanation:

-3cd-2cd+4d-4d

-3cd-2cd=-5cd

4d-4d=0

=-5cd

Answer:

Solution,

[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

5.

Step-by-step explanation:

If the first 4 picked are of different colours then the fifth  sock must be a match. for one of the four.

Answer:

Step-by-step explanation:

[tex]2a(b + a) - 2b(b - a)[/tex]

Expand by distributing terms:

[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]

Remove parentheses:

[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]

Collect like terms:

[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]

Simplify:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

B. 4%

Step-by-step explanation:

Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.

Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings

her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%

Answer: 4%

Step-by-step explanation:

Answer:

Answer:

option 4

Step-by-step explanation:

Simplify the equation,

9x² + 6x = 3x ( 3x + 2)

9x² + 3x = 3x*(3x + 1)

9x² + 9x + 2 =9x² + 3x + 6x + 2*1

                    = 3x(3x + 1) + 2(3x + 1)

                  = (3x+ 1)(3x +2 )

[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]

Both sides (3x+1)(3x+2) will get cancelled

[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]

Cross multiply,

5(3x) =10(3x+1)-(3x+2)

When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]

                                 = -10

When x= -2/3, RHS = 10(3x+1)-(3x+2)

                                = [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]

                                = 10(-2+1) - (-2+2)

                                = 10 * (-1) -0

                               = -10

LHS = RHS

So, -2/3 is a solution

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to  7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours  = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x  - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x  - 2y gives 10y - 2y + 3x + x  10  to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y  gives  3x+ 4x - y  - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29

Answer:

Sell price is not always higher than the buy price.

When there is profit, sell price is higher than the buy price.

When there is loss, sell price is lower than the buy price.

Step-by-step explanation:

Answer:

Currency numeric Value is always worth different in another country

Step-by-step explanation:

When talking about Currency you have to understand that the United Nations has not set up a universal currency yet, so countries are still using the currency that they started using hundreds of years ago.

In the example of exchanging Yen to USD. In numeric value 1 Yen is worth about $0.0093 USD.

Whereas USD to Yen the exchange rate is 1 USD is about 106.99 Yen. Because of the United States value to the 1 dollar bill.

Answer:

Step-by-step explanation:

Let the number of balloons be X

Xiao Duo = X

Xiao Hua = X

Xiaoduo used 16 balloons = x - 16

Xiaohua balloons x = 3 ( x - 16)

x = 3x - 48

Collect like terms

48 = 3x - x

48 = 2x

Divide both sides by 2

48/2= x

x = 24

Xiaohua has 24 balloons

Answer:

(-3, -2) is the image of P(3, 2).

Step-by-step explanation:

Given: a point P with coordinates (3, 2).

To find: Image of point P after 180° counterclockwise about the origin.

Solution:

Let us have a look at the coordinates and try to learn how a coordinate is written.

(3, 2) means x coordinate or value on x axis = 3 and

y coordinate or value on y axis = 2

Please have a look at the attached image to understand how the point P is plotted on xy axis.

Point P(3, 2) lies in 1st quadrant.

When a counterclockwise rotation is given the point will move from 1st quadrant to 2nd quadrant to 3rd quadrant to 4th quadrant.

A 90° rotation will cause the point to move to 2nd quadrant from 1st quadrant.

Another 90° rotation will cause the point to move to 3rd quadrant from 2nd quadrant.

So, the image of point P will lie in the 3rd quadrant where both x and y coordinates are negative.

Hence, the image will be P'(-3, -2).

Answer:

( -3 , -2 )

Step-by-step explanation: