f(x) = -2x + 4
g(x) = 2x^2 – 2x - 8
Find: (gof)(x)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=-2x+4\\g(x)=2x^2-2x-8\\(g\circ f)(x)=g(f(x))\\=g(-2x+4)\\=2(-2x+4)^2-2(-2x+4)-8\\=2(4x^2-16x+16)+4x-8-8\\=8x^2+(-32x+4x)+(32-8-8)\\=8x^2-28x+16[/tex]


Related Questions

The answer for (-1-1)2+4. (0-1)2+4

Answers

Answer:-8

Use the given functions to set up and simplify (0−1)⋅2+4

.(−1−1)⋅2+4=0

(0−1)⋅2+4=2

Step-by-step explanation

Answer:

-8

Step-by-step explanation:

(-1-1)2+4(0-1)2+4

(-2)2+4(-1)2+4

-4+4(-2)+4

4(-2)

-8

Hope that helps

f(x) = -1/2x is it increasing, decreasing or constant

Answers

Answer:

The function is decreasing.

Step-by-step explanation:

f(x) = x is the parent function, when you make x negative it decreases rather than increasing. the use of the slope (1/2) doesn't change whether it it increasing or decreasing. as long as the negative sign is in front, it will decrease.

find the integer less than 3 and greater than 4​

Answers

Answer:

Can have that at the same time....

less than three is 2 greater than 4 is 5 ...

but cant be less than 3 and greater than 4 at the same time

Step-by-step explanation:

Find the value of (2+root 3)(2-root 3)​

Answers

Answer:

4-3 = 1

Step-by-step explanation:

hopefully it will help you anyway

Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?

Answers

Answer:

12 or 10 blocks of clay

Step-by-step explanation:

If this is correct please give me brainliest.

Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.

What is the area?

Area is a measure of the size of a two-dimensional surface or region. It is the amount of space inside a shape, usually measured in square units, such as square meters or square feet.

The area is an important concept in geometry and is used in many fields, including physics, engineering, and architecture, among others.

The solution to this question is:

The area of the bottom of the box is:

24 cm x 20 cm = 480 cm^2

Since the layer of clay needs to be 2 cm tall, the volume of clay needed to cover the bottom of the box is:

480 cm^2 x 2 cm = 960 cm^3

Each block of clay has a volume of:

4 cm x 4 cm x 2 cm = 32 cm^3

So, to find how many blocks of clay Hyla needs, we can divide the volume of clay needed by the volume of each block:

960 cm^3 ÷ 32 cm^3/block = 30 blocks of clay

Therefore, Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.

Learn more about the area here:

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-3(1- 7v) = 102 how do to solve this problem?

Answers

Step-by-step explanation:

-3(1-7v) = 102

÷ -3 ÷ -3

1-7v = -34

-1. -1

-7v = -35

÷-7. ÷-7

v = 5

Answer:

V=5

Step-by-step explanation:

-3(1-7v)=102

-3+21v=102

21v=102

v=5

given the equations: A. 7(x+2)+3(x+5)=14(x+3)-6(x+2) B. -5(x+3)+7(x+2)=4(x-3)-2(x+5) C. 3(x-5)+2x=4(x-4)+x+1 what is the order of the equatshons from to most solutions?

Answers

Step-by-step explanation:

Your search - given the equations: A. 7(x+2)+3(x+5)=14(x+3)-6(x+2) B. -5(x+3)+7(x+2)=4(x-3)-2(x+5) C. 3 ... - did not match any documents.

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Make sure that all words are spelled correctly.

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Olivia's science class is making slime from cornstarch and glue. Olivia is helping pass out
materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Olivia's
class has a total of 18 students, how many ounces of cornstarch will she have left?

Answers

Answer:she will have 4.44 ounces of cornstarch left

Step-by-step explanation: 1 pound=16 ounces 16*5=80 ounces 80 ounces equal 5 pounds then you divide 80 by 18 and your answer should come out as 4.44 ounces

Amount of cornstarch left is 8 ounce

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

Total amount of cornstarch = 5 pound

Find:

Amount of cornstarch left

Computation:

Amount of total cornstarch to student = Each student get × Total number of student

Amount of total cornstarch to student = 4 × 18

Amount of total cornstarch to student = 72 ounce

1 pound = 16 ounces

So,

Total amount of cornstarch = 5 × 16

Total amount of cornstarch = 80 ounces

Amount of cornstarch left = 80 - 72

Amount of cornstarch left = 8 ounce

learn more:

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Anyone able to answer this?

Answers

Answer:

B) (4,5)

Step-by-step explanation:

Hope this helps.. (again)

Answer:

(4,5)

Step-by-step explanation:

you can count the units, move seven to the right and two up

Show that a to the 6th an be written as a perfect square and as a perfect cube.

Answers

Answer:

Step-by-step explanation:

a^6 = a * a * a * a * a * a You can break this into groups of 2 and groups of three.

Groups of 3

a^6 = a * a * a * a * a * a

what that means is that you have 2 groups of 3 which can be written as (a^3)^2 which means that this number is a perfect square.

Groups of 2

a^6 = a * a * a * a * a * a

What this means is that you have (a^2)^3 which is three groups of 2 members. The answer is that you have a perfect cube each member of which is a^2

Anyone else gonna sit alone at lunch today in school? :')

Answers

Answer:

I got online school

Step-by-step explanation:

tho yeah, I still eat lunch alone

Answer:

ofcourse cause its co vid 19 and we need to keep a safe distance so we can call it as eating alone

Step-by-step explanation:

Evaluate 6y + x9
When x = -5, y = -4

Answers

Answer:

-69

Step-by-step explanation:

6(-4) + (-5)9

= -69

Answer:-69

Step-by-step explanation:

Round 27,850 to the nearest ten thousand.

Answers

The answer will be 30,000.

Simplify this expression.

Answers

Answer:

It would be √3

Step-by-step explanation:

Answer: square root(10)- square root(14)+ square root 15- square root(21)

Step-by-step explanation:

use the FOIL method

please help? i’ve tried many different answers and i don’t think any of the ones i tried were right.

Answers

Answer:

6x-5=59 answer

Step-by-step explanation:

6x=64

x=64/6

x=10.66

6x-5=59

6x=59+5

6x=64

x=64/6

x=10.67(rounded off)

38. Jean owes her parents $90, to be paid in 5 equal installments. How much is each
installment?

Answers

90 divided by 5 is 18 so $18 is the answer
each installment is $18

I need an explanation and an answer please.

Answers

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60

Someone help me with #12

Answers

Answer:

12.

[tex]x = \frac{PQ-14}{3}[/tex] and [tex]x = \frac{QR + 10}{7}[/tex]

Step-by-step explanation:

Hope this helps!

Have a nice day! :-)

Answer:

x = 6

Step-by-step explanation:

If PQ = 3x + 14, QR = 7x - 10, and Q is the midpoint of PR, then PQ = QR.

[tex]PQ = 3x + 14 = QR = 7x - 10\\3x + 14 = 7x - 10\\3x + 24 = 7x\\24 = 4x\\6 = x\\x = 6[/tex]

2(x - 12)=16 what is x

Answers

the answer is 21, ….. because

Answer:

X= 20

Step-by-step explanation:

2( x ‐ 12)= 16

2x ‐24 = 16 ( times in your brackets)

2x ‐ 24 ‐ 16 = 0

2x ‐ 40= 0

2x = 40

x = 20

Tom purchased a basketball game for $9.09, and a Pokemon game for $13.96
with two $20 bills. How much change did Tom get?

Answers

Hello :D

2 x $20 = $40

$9.09 + $13.96 = $23.05

$40.00 - $23.05 = $16.95

The answer is $16.95. I hope this helps :)

Answer:

:troll:

Step-by-step explanation:

BRAINLIEST!! PLZ HELP
Given f (x) = x2 – 4 and g(x) = x + 3 then g (f (2)) =

Answers

Answer:

g (f(2)) = 3

Step-by-step explanation:

f (x) = x2 – 4

g(x) = x + 3

g (f (2)) =?

Find f(2) first

f (x) = x2 – 4

f (2) = 2^2- 4

= 0

Now put this in your g(x)

g(x) = x + 3

g (f(2)) = (f(2)) + 3

And u alredy know f(2) =0, so just put it in

g (f(2)) = 0 + 3

=3

if - 48 = 6(a), then a =

Answers

Answer:

-8

Step-by-step explanation:

-48 = 6 x -8

-8 x 6 = -48

CHOW Y'all,...!!!

**Answers needed fast** What goes in the small / little boxes?

Answers

Answer:

149, 520 and the littlest boxes is 0 and 1

Step-by-step explanation:

One side of a rectangle has the length 5. Another side has length 2+9. What expression represents the area of the rectangle?

Answers

The answer is D

5(2+9)=55

5x2=10
5x9=45
45+10= 55

Solve x−9y=19 for y.

Answers

Answer:

y = (19 - x) / -9

Step-by-step explanation:

Subtract x from both sides.

-9y = 19 - x

Divide both sides by -9

y = (19 - x) / -9

#3 Q is the midpoint of PR, PQ = 2x, and PR = 8x - 12. Find X, PQ, and PR.
(x - 12 = 2x
2x = 8x 12+ 8x - 12
(Number 3!!!!)

Answers

Answer:

x = 3, PQ = 6 , PR = 12

Step-by-step explanation:

Given Q is the midpoint of PR , then

PQ = QR = 2x

PR = PQ + QR , that is

8x - 12 = 2x + 2x

8x - 12 = 4x ( subtract 4x from both sides )

4x - 12 = 0 ( add 12 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

PQ = 2x = 2 × 3 = 6

PR = 8x - 12 = 8(3) - 12 = 24 - 12 = 12

Pls help me answer 671921x79719

Answers

Answer:

671921 * 79719

= 53,564,870,199

Answer:

53564870199

Step-by-step explanation:

671921*79719=53564870199

3(6m-17), m=5 how to solve this question

Answers

Answer:

39

Step-by-step explanation:

The "m" in 3(6m-17) is equal to 5, as told by m = 5. When we replace the m with 5, we get the equation

[tex]3(6*5-17)[/tex]

We get 6 × 5 because when two numbers are next to each other, it means to multiply.

In an equation, always do multiplication first (unless addition/subtraction is in parenthesis). After multiplying, we end up with

[tex]3(30-17)[/tex]

Always do whatever's in parenthesis first.

[tex]3(13)[/tex]

Now, we will multiply 3 with 13 because the two numbers are next to each other and there are no more steps to do in parenthesis.

[tex]3 * 13 = 39[/tex]

The value of the expression 3(6m-17), is 39.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The "m" in 3(6m-17) is equal to 5, as told by m = 5. When we replace the m with 5, we get the equation

E = 3(6m-17)

E = 3 ( 6 x 5 - 17 )

We get 6 × 5 because when two numbers are next to each other, it means to multiply.

In an equation, always do the multiplication first (unless addition/subtraction is in parenthesis). After multiplying, we end up with

E = 3 ( 30 - 17)

Always do whatever's in parenthesis first.

E = 3 ( 13 )

Now, we will multiply 3 by 13 because the two numbers are next to each other and there are no more steps to do in parenthesis.

E = 39

Therefore, the value of the expression 3(6m-17), is 39.

To know more about an expression follow

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geometry proofs
help me please :)

Answers

Answer:

2) Right angles always equal 90°

3) m∠F = 90° and m∠G = 90° which means they have the same angle measure.

4) Removing the m and replacing with the congruent symbol.

I'm not too sure how this goes but it should be something like that.

please help 17 points ssry I'm not really that smart.

Answers

Answer:

3/10 or 0.3

Step-by-step explanation:

What he said ^ 3/10 or 0.3 I checked also btw
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