Answer:[tex]f(x) = 3x^2[/tex] and [tex]g(x) = x + 2[/tex]Step-by-step explanation:Given[tex]h(x) = 3(x+2)^2[/tex][tex]h(x) = (fog)(x)[/tex]RequiredFind possible expressions for f(x) and g(x)[tex]h(x) = (fog)(x)[/tex] This can be rewritten as:[tex]h(x) = f(g(x))[/tex]Recall that [tex]h(x) = 3(x+2)^2[/tex]So;[tex]h(x) = f(g(x)) = 3(x+2)^2[/tex][tex]f(g(x)) = 3(x+2)^2[/tex]By comparison, the expression in bracket represents g(x);Hence; [tex]g(x) = x + 2[/tex]Replace g(x) with x[tex]f(x) = 3(x)^2[/tex][tex]f(x) = 3x^2[/tex]Hence, the possible expressions of f(x) and g(x) are:[tex]f(x) = 3x^2[/tex] and [tex]g(x) = x + 2[/tex]

Mathematics Middle School

PLEASE HELP FOR MATH

Answers

Answer 1

Answer:

$f(x) = 3x^2$ and $g(x) = x + 2$

Step-by-step explanation:

Given

$h(x) = 3(x+2)^2$

$h(x) = (fog)(x)$

Required

Find possible expressions for f(x) and g(x)

$h(x) = (fog)(x)$

This can be rewritten as:

$h(x) = f(g(x))$

Recall that $h(x) = 3(x+2)^2$

So;

$h(x) = f(g(x)) = 3(x+2)^2$

$f(g(x)) = 3(x+2)^2$

By comparison, the expression in bracket represents g(x);

Hence;

$g(x) = x + 2$

Replace g(x) with x

$f(x) = 3(x)^2$

$f(x) = 3x^2$

Hence, the possible expressions of f(x) and g(x) are:

$f(x) = 3x^2$ and $g(x) = x + 2$

Related Questions

I NEED help with #2 cuz i can't understand

Answers

Answer:

Where is the question

Step-by-step explanation:

You need to provide more context because we don’t know what your Number 2 is..

find the area of the rectangle

Answers

Answer: 1 2/3

Step-by-step explanation:

2 / 6 x 5 Step 1: Note that 5 is the same as 5/1 since 5 divided by 1 is 5. Therefore, start by setting up the problem like this: 2 / 6 x 5 / 1

Step 2: Multiply the numerators together (2 x 5 = 10) and multiply the denominators together (6 x 1 = 6) and make it into one fraction like so: 10 / 6

Step 3: Simplify the fraction above if possible. Here is the final answer in its simplest form: 1 2 / 3

Answer:

Area = 5/3 in²

Step-by-step explanation:

Area of a rectangle = length * width

In this case:

Area of a rectangle = 2/6 in * 5 in

=5*2/6

= 10/6

= 5/3

If the fraction 384/x -10 is equivalent to -24, find the value of x. Show your work.
Use reasoning to find x.
384/x -10= Blank.

Answers

Answer:

x=-6

Step-by-step explanation:

384/x -10=-24

384=-24(x -10)

384=-24x+240

384-240=24x

-144=24x

-144/24=x

x=-6

PUTTING x=-6 in 384/x -10

384/-6-10

384/-16

=-24

Hi how are you kkkkkkkkkk

This pattern can be represented by the explicit function f(x) = 3x^2
True or False?
Explain.

Answers

Answer:

False

Step-by-step explanation:

3 X 1 = 3 and 2 X 3 = 6 But 3 x 3 is not 11 and 4 X 3 is not 18

True
I took the test

Find the perimeter of this shape.

Answers

Answer:

draw a line that makes a triangle and rectangle.

hypotenuse= 30

3k-4k-5k triangle

18-24-30

so the short part of triangle is 18 cm

10+10+18+24+30 equals 92

sorry for language I am not familiar with English

the perimeter of this shape is

24+10+10+30+$\sqrt{30^{2} -24^{2} }$ = 92 cm

Please help, ASAP! Attachment

Answers

Answer: p= 26 ft

*NOTE: I think because This is very tricky

Answer:

P=28 ft

Step-by-step explanation:

Which fractions are equivalent to Eight-twelfths? Check all that apply. A.4/24 B.6/10 C.2/3 D.24/36 E.32/48

Answers

Choices C, D, and E are all equivalent to eight-twelfths.

A and B are not.

Match the given areas with the correct figure. All areas have been rounded to the nearest number.

Answers

Answer:

Read Explanation

Step-by-step explanation:

I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)

1st shape:(40)+(40)+(5*4=20/2=10)

80+10=90cm

2nd shape:36+60=96cm

3rd shape: 56+(4*8/2) 56+16=72cm

4th shape: 12+55+5= 12+60=72 cm

5th shape:4+88=92 cm

6th shape:68 as it is the last option

Pls help, screenshot!!

-Brainlist for the correct answer!-

Answers

Answer:

n+139=377

Step-by-step explanation:

the total amount of trees was 377 which means that it has to be the ending sum in the equation. the 2 quantities making up that sum were 139, and an unknown amount, n.

The correct answer is B. n+139=377

Simplify WxW^2xW^5

(Better example of the question on the photo)

Answers

Answer:w^8

Step-by-step explanation:

w*w^2*w^5
w^8

a number multiplied by itself will be equivalent to itself squared (w^2 = w*w)

so, simplified this equation is; w*w*w*w*w*w*w*w which is w^8

Solve for p.
–2.2(p + 2.4) + –2.3 = 7.16

pls help!!!!

Answers

Answer:

p= -6.7

Step-by-step explanation:

Multiply -2.2 to the inside of the parentheses

-2.2p - 5.28 - 2.3 = 7.16

Move constant to the right

-2.2p=7.16+7.58

-2.2p=14.74

divide on both sides by -2.2 to get -6.7

Answer:

-6.7

Step-by-step explanation:

first, u use the distributive property to eliminate the ( )

so -2.2 times p and -2.2 times 2.4

so u should get −2.2p+−5.28+−2.3=7.16

then u combine like terms so it is −2.2p+−7.58=7.16

then u add 7.58 to both sides

so −2.2p=14.74

then divide that by -2.2

Which ordered pair lies on a horizontal line with (-10, -20)?
(20, 10)
(10,-20)
(13,20)
(-10,13)

Answers

B. (10, -20). because they have the same y value

The answer is (10,-20) because it has the same y- coordinate meaning the same height/line.

Can you please help. Also remember to explain.

Answers

Answer:

Yes

Step-by-step explanation:

The answer using distributive property is the same as using original way to caculate it.

3+5(2+4) = 3+5(6) =3+20 =33

Answer:

I do not agree with Talia.

Step-by-step explanation:

This is because they did not simplify the expression correctly. When simplifying this expression you would use the Order of Operations.

3+5(2+4)

=3+5(6)

=3+30

=33

Given that the measure of angle ABC is 70 degrees find the measure of angle BED.

Answers

Answer:

110 degrees

Step-by-step explanation:

ABL + ABC = 180

BED + ABC = 180 ( BED = ABL )

BED = 180 - ABC = 180 - 70 = 110

The answer would be 110 degrees

Which is the graph of y = 2x?

A.
B.
C.
D.

Answers

Answer:

the answer is A

Step-by-step explanation:

A, the graph goes up two and over one. 2x1=2, so when x is 1 y will be 2. 2x2=2, so when x is 2 y will be 4.

Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of R′ if the preimage is rotated 270° counterclockwise.
R′(−3, 2)
R′(2, 3)
R′(3, −2)
R′(−2, −3)

Answers

Answer:

(a) R'(-3, 2)

Step-by-step explanation:

You want the image of point R(-2, -3) after rotation 270° CCW about the origin.

Rotation

The rotation transformation is ...

(x, y) ⇒ (y, -x) . . . . . . . rotation 270° CCW or 90° CW

Applied to the given point, we find ...

R(-2, -3) ⇒ R'(-3, 2) . . . . . . matches choice A

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Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(2, 3), T(4, 2). Determine the image vertices

help me please this is due in 24 mins :(

Answers

Answer:

D is your answer............................................................

D is the answer for the worksheet

-5x - 6(2x+11)=138
56=-2x+2(-2x+10)
-6x+5(-4x-10)=80
6x-6(3x-11)=-18
-30=-2x+2(-x+7)
4x-4(-x-3)=84
-7x+2(x-3)=44

solve equation for x

Answers

Answer:x= -12

Step-by-step explanation:

-5x - 6 (2x+11)=138

-5x-12x-66=138

-5x -12x= -17x

-17x-66=138

-17x-66+66=138+66=204

-17x/-17 = 204/-17= -12 =x

1. x= -12
2. x=-6
3. x=-5
4. x= 7
5. x= 11
6. x= 9
7. x= -10

Can I please get Grade 7/ Standard 5 working for this??!!

In a class 40% of the students like soccer, 3/10
like cricket, 0.2 like basketball and 4 like table
tennis. Calculate:

(a) how many children are in the class.
(b)how many more children like soccer than
basketball.
(c)the number of children who like cricket.

Answers

Answer: (.A.) and (.B.)

Step-by-step explanation:

A is the correct answer

I need help with pliss

Answers

Answer:

Step-by-step explanation:

Answer:

288 in.

Step-by-step explanation:

I believe this is how...

1. 12x6 =72

2. 12x4 =48

3. 6x4 =24

3. Add all products together. =144

4. Multiply: 144 x 2

how the flibberdoodle do you graph decimals on a coordinate graph?!!

Answers

Plotting coordinates can be a little confusing, but it doesn't have to be as long as you remember a few important details. The first number in the coordinate set tells you how far right (for a positive number) or left (for a negative number) you need to travel on the x-axis. The second number in the coordinate set tells you how far up (for a positive number) or down (for a negative number) you need to travel on the y-axis. Any set of coordinates can be represented by the variables x and y. If you picture (x, y), it will help you remember the x-coordinate comes first, so you will travel either right or left before travelling up or down.

Answer:

When graphing decimals it is good to remember that a decimal is just part of a whole number. For example, 0.5 is half of 1. Therefore, if you were to plot 0.5 you would draw a dot in between 0 and 1.

6.5 would be in between 6 and 7

7.12 would be a little bit closer to 7 but it would still be in between 7 and 8

Step-by-step explanation: Hope this helps:)

** (I WILL GIVE BRAINLIST) **

what is the volume of a rectangular prism with length 3/2 height 3/2 and width 3/2

Find the SURFACE AREA of the square pyramid in square meters (Do not include the units in your answer) **goes with image 1**

Find the SURFACE AREA of the figure in square centimeters (Do not include the units in your answer). You must show work for any partial credit. **goes with image 2**

Answers

Answer:

Maybe this will help

Volume = 3.14 x 3/2 x 3/2 x 3/2 % 3(3.14 times 3/2 times 3/2 times 3/2 divided by 3)

Step-by-step explanation:

Have a great day!!

Which statement is FALSE about a number and its multiplicative inverse?
A. Their product is always 1.
B. They are reciprocals of each other.
C. Their sum is always positive.
D. Their product is never negative.

Answers

Answer:A

Step-by-step explanation:

it’s is A - the product isn’t always one

Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.

a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.

Answers

well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.

Answer: 36 is wrong

Step-by-step explanation: 360 - 36 = 324 degrees

the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high? plss show all work, ill give brainliest

Answers

250 miles is 1 320 000 feet.

A penny is 0.005 feet tall.

You'd need 1 320 000 / 0.005 = 264 000 000 pennies to make a stack that high

What is 5 ___ square root 18

Answers

Answer:

Step-by-step explanation:

5 is greater than the $\sqrt{18}$.

$\sqrt{18}$ = 4.24264068712 ...

Hope this helps and have a nice day!

Answer:

5>√18

Step-by-step explanation:

The √18 is 4.24 therefore 5 would be greater than the √18.

PLS HELP 50 POINTS Use <,> or = to compare the ratios. Show your work.

(b) 9/6 and 36/24

Answers

Answer:

9:6=36:24

Step-by-step explanation:

9 is equal to 1.5x 6 and 36 is equal to 1.5x 24 so both can be simplified to a ratio of 3:2.

9:6 is equal to 36:24 they both simplify into 3:2 and 9x4 =36 and 6x4=24

63 students attend a basketball game. Of the 63, only 1/3 of the students bought a soda during the game. How many students bought a soda?

Answers

Answer:

Step-by-step explanation:

63 ÷ 3

(20 character minimum)

Answer:

21 students brought soda

Step-by-step explanation:

Answer the two questions:

Answers

number one: A B D E
number two:C
if any of these are wrong let me know ;) thank you

Answer:

1. A B D E

2.Answer C on number 2

???????????????????????????

Answers

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

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