f(x) = 2x² + 6x - 4
g(x) = 5x³6x² – 3
-
Find (f + g)(x).
A. (f+g)(x) = 5x³ + 2x² − 7
B. (f+g)(x) = 5x³ − 4x² + 6x - 7
-
O c. (f+g)(x) = −5x³ + 8x² + 6x – 1
OD. (f+g)(x) = 7x³ - 7

Answers

Answer 1

Answer:

Step-by-step explanation:

The expression which represents the function evaluation (f -g)(x) according to the task content is; (f -g)(x) = 2x³ +5x² -8x -4.

Which expression represents (f-g)(x) according to the functions given?

It follows from the task content that the required function evaluation required is; (f -g)(x).

Given;

f(x) = 2x³ +5x² - 6x - 7

g(x)=2x-3

To find;

(f-g)(x).

Since; (f -g)(x) = f(x) - g(x), the resulting expression for (f -g)(x) is;

(f -g)(x) = 2x³ +5x² -6x -7 -2x +3

Collect like terms;

(f -g)(x) = 2x³ +5x² -6x -2x -7 +3

Hence, (f -g)(x) = 2x³ +5x² -8x -4

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Related Questions

Reagan is running toward school twice as fast as her brother. If her brother is running at 2meterspersecond, how much time will it take Reagan to run 28meters?
Write your answer as a whole number.

Answers

The time taken by the Reagan to cover the distance of 28 meters will be 7 seconds.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that Reagan is running toward school twice as fast as her brother. If her brother is running at 2 meters per second.

The time taken to cover the distance of 28 meters will be calculated as,

R = 2B

Brother's speed = 2 m / s

Reagan's speed = 2 x 2 = 4 m/s

The time will be,

T = Distance / Speed

T = 28 / 4

T = 7 seconds

Therefore, the time taken by Reagan to cover the distance of 28 meters will be 7 seconds.

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Simplify quantity x squared plus 5 x plus 4 end quantity over quantity x plus 4 (5 points) x − 1 x + 1 x2 + 1 x2 − 1

Answers

Answer:

Step-by-step explanation:

there is no  oblique asymptote

100 POINTS AND BRAINLIEST

For what values of c does the quadratic equation -x^2+4x+c=0


1. Have no real roots?

2. Have two roots with the same sign?

3. Have one negative root and one root equal to 0?

4. Have two roots with opposite sides?

Answers

Answer:its c

Step-by-step explanation:

Answer:

1.  c < -4

2.  -4 < c < 0

3.  c = 0

4.  c > 0

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.8 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}[/tex]

Given quadratic equation:

[tex]-x^2+4x+c=0[/tex]

Question 1

If the quadratic equation has no real roots, then the discriminant is less than zero:

[tex]\implies b^2-4ac < 0[/tex]

[tex]\implies (4)^2-4(-1)(c) < 0[/tex]

[tex]\implies 16+4c < 0[/tex]

[tex]\implies 4c < -16[/tex]

[tex]\implies c < -4[/tex]

Question 2

If the quadratic equation has two real roots, then the discriminant is greater than zero:

[tex]\implies b^2-4ac > 0[/tex]

[tex]\implies (4)^2-4(-1)(c) > 0[/tex]

[tex]\implies 16+4c > 0[/tex]

[tex]\implies 4c > -16[/tex]

[tex]\implies c > -4[/tex]

Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root.  If c < 0 there would be 2 sign changes and therefore a maximum of 2 negative roots.

Therefore, for the two roots to have the same sign, -4 < c < 0.

Question 3

If c = 0 then:

[tex]\implies -x^2+4x=0[/tex]

[tex]\implies -x(x+4)=0[/tex]

[tex]\implies x(x+4)=0[/tex]

Therefore, the roots would be 0 and -4 so there would be one negative root and one root equal to zero.

Question 4

Using Descartes' Rule of Signs, if c > 0 there would be one sign change and so a maximum of one positive root.

Therefore, for the equation to have two roots with opposite signs, c > 0.

Write the expression as a single logarithm.
7log6z - 1/2log6x +3log6y

Answers

The value of the logarithm in one logarithm will be [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex].

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

As per the given logarithm,

7[tex]log_{6} z[/tex] + (1/2)[tex]log_{6} x[/tex] + 3[tex]log_{6}y[/tex]

Since,[tex]alog_{b}c = log_{b}c^\frac{1}{a}[/tex]

Thus,

7[tex]log_{6} z[/tex] + (1/2)[tex]log_{6} x[/tex] + 3[tex]log_{6}y[/tex] =d [tex]log_{6}z^7 +log_{6}x^\frac{1}{2}+log_{6}y^3[/tex]dddd

Since,[tex]log_{a}b+log_{a}c=log_{a}bc[/tex]

Therefore,

[tex]log_{6}z^7 +log_{6}x^\frac{1}{2}+log_{6}y^3[/tex]= [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex].

Hence "The value of the given logarithm in one logarithm will be [tex]log_{6} z^7x^\frac{1}{2} y^3[/tex]".

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Find the x-intercept of the line 14x–11y= – 1.

Answers

Answer:

x- intercept = - [tex]\frac{1}{14}[/tex]

Step-by-step explanation:

to find the x- intercept, that is where the line crosses the x- axis, let y = 0 in the equation and solve for x

14x - 11(0) = - 1

14x = - 1 ( divide both sides by 14 )

x = - [tex]\frac{1}{14}[/tex] is the x- intercept

75 − 3.5y − 4y = 4y + 6 for y. please show how you got

Answers

Answer:

y=6

Step-by-step explanation:

75-3.5y-4y=4y+6

Combine like terms on each side

75-7.5y=4y+6

Add 7.5y to both sides since it is the inverse of subtraction

75-7.5y=4y+6

   +7.5y. +7.5y

75=11.5y+6

Isolate y on one side by subtracting 6 from both sides

75=11.5y+6

-6.          -6

69=11.5y

Divide both sides by 11.5

69=11.5y

/11.5. /11.5

6=y

hopes this helps please mark brainliest

Does anyone know how to do this pls

Answers

Haha ITS MATHXL

Anyways, constant rate of +90 and currently has 1560.

Say y will be the amount of students, and x is how many years later.

y=90x+1560

So for a), the answer is y=90x+1560

For b), plug in 3 for x, since 2017 is 3 years after 2014.

y=90(3)+1560
y=270+1560
y=1830


Amount of students in 2017: 1830


For c), plug in 2010 for y.

2010=90x+1560
Subtract 1560 both sides
450=90x

Divide both sides by 90
x=5

Answers

a) y=90x+1560
b) 1830
c) 5 Years Later, or 2019

Hope this helps!

Need help asap! thanks

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the given expression is  1479.40

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Sum of [tex]2(\frac{4}{3})^n[/tex] from n = 0 to n = 6.

This can be written as,

= [tex]2(4/3)^0 + 2(4/3)^1 + 2(4/3)^2 + 2(4/3)^3 + 2(4/3)^4 + 2(4/3)^5 + 2(4/3)^6[/tex]

= 2 x 1 + 8/3 + 2 x 16/9 + 2 x 64/27 + 2 x 256/81 + 2 x 1024/243 +

2 x 4096/729  

= 2 + 2.67 + 3.56 + 4.74 + 6.32 + 8.43 + 1458

= 1479.40

Thus,

The value of the given expression is  1479.40

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You are planning a picnic for Memorial Day. You need to buy enough hot dogs and hamburgers so that each of your 10 guests can have two servings. You determined that hot dogs cost $0.40 each and hamburgers cost $0.80 each. You have $12 to spend on the hamburgers and hot dogs. How many hot dogs and how many hamburgers should you buy?

Answers

Answer:

hamburgers cost $0.80 each

Step-by-step explanation:

(9√-81)(-10√64) is the answer -6480i? im confused

Answers

Imaginary Numbers

[tex]i=\sqrt{-1}[/tex]

Solving the Question

[tex](9\sqrt{-81})(-10\sqrt{64})[/tex]

⇒ Take out i from the first square root:

[tex]= (9i\sqrt{81})(-10\sqrt{64})[/tex]

⇒ Evaluate the square roots:

[tex]= (9i\times9)(-10\sqrt{64})\\= (9i\times9)(-10\times 8)[/tex]

⇒ Multiply:

[tex]= (81i)(-10\times 8)\\= (81i)(-80)\\= -6480i[/tex]

Answer

-6480i

Write an expression to represent: 4 less than the quotient of x and 5.

Answers

x/5 - 4 represents 4 less than the quotient of x and 5.

help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer:

500 rounded to the nearest tenth equal 500

Your friend bought a new pair of shoes. He said the regular price was $75 but he got a 40% discount from the sales clerk. What is the sale price of the shoes

Answers

Answer:

40% off of 75 is 45$

Step-by-step explanation:

Divide the number by 100 (move the decimal place two places to the left).Multiply this new number by the percentage you want to take off.Subtract the number from step 2 from the original number. This is your percent off number.

4. Solve the quadratic equation 4x² + 7 = 25.

Answers

4x²+7= 254x²+7-25=04x²-18=0

use the formula 「x= [-b±✓(b²-4ac)]/2a」

a= 4, b= 0, c= -18

x= [-0±✓(0²-4(4)(-18))]/2(4)x= 2.1213... , x= -2.1213...
Hope this helps you

NEED HELP ASAP!!!

I am 20 years older than twice my daughter's age. How old is my daughter? ( 1. 17 years ago, I was half the age I am now. How old am I? - Part of 2.)

Answers

The daughter's age is 7 years old.

What is the equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a parent is 20 years older than twice his daughter's age, and he was half of his present age 17 years back.

Let the age of the parent be x,

He/she was half of the age 17 years back, then,

x/2 = x-17

x = 34

Therefore, parent's present age is 34 years.

He is  20 years older than twice his daughter's age,

Let his daughter's age be y,

2y+20 = 34

2y = 14

y = 7

Hence, his daughter's age is 7 years old.

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Multiply. 2u*3u^2 please help me

Answers

Answer: 6u^3

Step-by-step explanation:

You have to add the exponents when you multiply them.

But before that, you can multiply the coefficients of 2 and 3 so you get 6.

Now you have u and u^2 left.

u = u^1

u^2 = u^2

1+2 =3

Please help this is URGENT

Answers

TQ/VQ=TV/VR is true for the given triangle. Option B is correct

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Two pairs of corresponding angles are equal

Three pairs of corresponding sides are proportional

Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

From these we can say that the sides TV is proportional to Rs and TQ is proportional to VQ

Hence, TQ/VQ=TV/VR is true for the given triangle. Option B is correct

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Andrew decided so joys a tenner clench. Below is a chart that displays how many games of lenis he has played and the meatal cost of playing those panes. In this scenario, C ( y ) represents the total cost for playing games.

Answers

The linear function that represents the situation is of:

C(y) = 13y + 145.

The intercept is of:

C(0) = 145, meaning that the flat fee to pay the game is of $145.

What is the linear function?

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

m is the slope of the function, representing the rate of change of the function.b is the y-intercept of the function, representing the initial value of the function.

Two points of the function, from the table, are given as follows:

(8, 249) and (13,314).

The slope is given by the change in y of the two points divided by the change in x, hence:

m = (314 - 249)/(13 - 8) = 13.

Hence:

C(y) = 13y + b

When y = 8, C(y) = 249, hence the intercept b of the function is obtained as follows:

249 = 13(8) + b

b = 249 - 13 x 8

b = 145.

Meaning that the flat fee to pay the game is of $145.

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What is the solution to the system?
-4x - 2y = 8
y = x2 - 3
Will give points for answer

Answers

Answer:

Step-by-step explanation:

to find x;

-4x - 2 -1 =8

-4x + 3 = 8

+4  + 3 = +4

x + 3 = 12

   -3 + -3

    x  =  10

to find y;

y = x2 - 3

y = (10)2 - 3

y = 20 - 3

y = 17

Im stuck on this ones i dont know how to get the answers

Answers

The measurements of [x] and [y] are 37 and 61 respectively.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are two triangles as shown in the figure.

Triangles ΔMPN and ΔSTU are congruent. We can write -

2x - y = 13

2x - 50 = 24

Now -

2x - 50 = 24

2x = 74

x = 37

then -

2 x 37 - y = 13

74 - 13 = y

y = 61

Therefore, the measurements of [x] and [y] are 37 and 61 respectively.

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NEED AN ANSWER PLEASE HELP!!

Answers

Answer:

5.12

Step-by-step explanation:

If u times 1.6 and 3.2 you get 5.12 also i got it correct on my test

in the figure pictured below DF=3 BF =14 GF =8 find the lengths of:

A. cf
B. ef
C. ag

Answers

The lengths of CF, EF and A.F are 6 units, 28 units and 16 units, respectively

How to determine the lengths of these sides?

From the question, the given parameters to solve the question are represented as

DF = 3

BF = 14

GF = 8

The point F in the triangle is the centroid of the triangle

This means that the point F divides the lines that passes through it in the ratio 1 : 2 or 2 : 1 (as the case may be)

The claim above also  means that

CF = 2 * DF

EF = 2 * BF

A.F = 2 * GF

Substitute the known values in the above equation, so, we have the following representation

CF = 2 * 3 = 6

EF = 2 * 14 = 28

A.F = 2 * 8 = 16

Hence, the lengths are 6 units, 28 units and 16 units

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Solve the radical equation. Please explain each step in detail.

Answers

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

Even roots can NEVER have a negative result, therefore the value of x can ONLY be positive values.

Kinda urgent
Will mark brainliest
:)

Answers

The function rule for the transformation of the graph f(x) = 2x

reflection over the x - axis (x, y) → (x, -y)

f(x) = -2x

vertical compression of a factor of 1/4

g(x) = -x/2

How to find the required transformation

Considering the given function  f(x) = 2x that requires reflection and vertical compression

The transformation rule for reflection over the x - axis

(x, y) → (x, -y)

comparing to the equation y = f(x) = 2x

-y = -2x

hence f(x) = -2x

vertical compression involves multiplying by 1/4

= 1/4 * f(x)

= 1/4 - 2x

= -x/2

Hence g(x) = -x/2

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. Lin's family has completed 60% of a trip. They have traveled 30 miles
How many miles is the trip?
A 50 miles
B. 48 miles
C. 30 miles
D. 18 miles

Answers

Answer: A 50 miles

Step-by-step explanation:

Its A becuase 60%=0.6 and 0.6 times 50 is 30 which means 60 percent of 50 is 30.

The answer is 50. 30 is 60% of 50

30 POINTS!!!!!! HELP ASAP! At cruising speed a car burns fuel at a rate of 2.5 kilograms per hour the mass of the car including the fuel when it reaches cruising speed is 1,550 kg and the mass of the car when the fuel tank is empty is 1,520 kg. the domain of the function f(t) is best described as

Answers

The domain of the function f(t) is best described as 608 ≤ t ≤ 620

How to determine the domain of the function?

From the question, we have the following parameters that can be used in our computation:

Rate = 2.5 kilograms per hour

Mass of the car (including the fuel) = 1550 kg

Mass of the car (not including the fuel) = 1520 kg

Calculate the times using the rate and the masses above

So, we have the following representations

Time 1 = 1550/2.5

Time 1 = 620

Time 2 = 1520/2.5

Time 2 = 608

Express as an interval

608 ≤ t ≤ 620

Hence, the domain is 608 ≤ t ≤ 620

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Explain how to find the distance between 1 and -3 on a number line.

Answers

Answer:

count backwards

Step-by-step explanation:

1, 0, -1, -2, -3

Answer:two ways

Step-by-step explanation: you can either count the spaces or you could just add until you get one of the answers -3 +4 =1 1- 4=-3

A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.

Answers

The linear function that models the problem of movie theater sells popcorn is

y = 2.50x + 3.50

How to model the required equation

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The equation as described in the problem is represented using linear function as as follows

c = cost of the bucket = $3.50

m = cost of refills = $2.50

y = 2.50x + 3.50

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How do I write a two-column proof for this problem?


Given: Isosceles △ABC with legs AB and AC, BD ⊥DC and CE⊥BE

Prove: BD ≅ CE

Answers

BD ≅ CE is proved and is shown below.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are two triangles as shown in the figure.

Triangles ΔMPN and ΔSTU are congruent. We can write -

2x - y = 13

2x - 50 = 24

Now -

2x - 50 = 24

2x = 74

x = 3The measurements of [x] and [y] are 37 and 61 respectively.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is isosceles △ABC with legs AB and AC, BD ⊥DC and CE ⊥ BE.

In △BDC and △CEB, we can write -

∠D = ∠E = 90°

BC = BC {Common}

∠B = ∠C  {Angles opposite to equal sides are equal}

By SAS criteria △BDC △CEB.

So, we can write -

BD ≅ CE

Therefore, BD ≅ CE is proved and is shown above.

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Write an equation of the line that passes through the pair of points. (5/12, −1), (−3/4, 1/6)

Answers

Answer:

[tex]y=-x-\frac{7}{12}[/tex]

Hope this helps!

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