Let f (x) = 3x2 + 2 and g(x) = 2x, find f (g(x))​

Let F (x) = 3x2 + 2 And G(x) = 2x, Find F (g(x))

Answers

Answer 1

Answer:

D) 12x^2+2

Step-by-step explanation:

As we are dealing with composite functions, the rule is that f(g(x)) means whatever the value of g(x) is, we substitute that value for x in f(x):

[tex]f(x)=3x^2+2\\g(x)=2x\\f(g(x))=3(2x)^2+2\\f(g(x))=3(4x^2)+2\\f(g(x))=12x^2+2[/tex]

So, f(g(x))=12x^2+2, making D the right answer

Answer 2

Answer:

the answer is the third possible answer


Related Questions

If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll a 2?

Answers

Answer:  [tex]\dfrac1{12}[/tex]

Step-by-step explanation:

Outcomes for tossing a coin =2  [tail and head]

Outcomes of rolling a 6-sided die =6

Total outcomes for rolling both =  2 x 6 = 12

Favorable outcomes for getting a head and 2 on die = 1

Probability = [tex]\dfrac{favorable\ outcome}{Total\ outcomes}[/tex]

Now , the probability that you will flip a heads and roll a 2 [tex]=\dfrac1{12}[/tex]

Hence, the required probability =  [tex]\dfrac1{12}[/tex]

The rectangle shown has a perimeter of 44cm and the given area. Its length is 4 more than its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

Hope it helps◉‿◉Have a nice day.

During the school year, Jose work 20 hours a week. During the summer he worked 175% more hours. How many hours does Jose work in the summer?

Answers

Answer:25

Step-by-step explanation:

can any one help me please In rectangle QRST, diagonals QS and RT are drawn and intersect at point P. Which of the following statements must be true?
ΔQPR must be a right triangle.
ΔQPR must be congruent to ΔQPT.
ΔQPR must be congruent to ΔQRS.
ΔQPR must be congruent to ΔSPT.

Answers

Answer: it’s C

Step-by-step explanation:

I took the test already

what is the y intercept of the points (2,72) and (5,162)

Answers

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER

Sam has a rectangular rug with an area of 48 square feet. The rug is 8 feet longer than it is wide. What is the width of the rug?

Answers

Given:

Arear of rectangular rug = 48 sq. feet.

The rug is 8 feet longer than it is wide.

To find:

The width of the rug.

Solution:

Let x feet be the width of the rug.

The rug is 8 feet longer than it is wide.

Length of the rug = (x+8) feet

Area of a rectangle is

[tex]Area=Length\times Width[/tex]

Arear of rectangular rug is 48 sq. feet.

[tex]48=(x+8)\times x[/tex]

[tex]48=x^2+8x[/tex]

[tex]0=x^2+8x-48[/tex]

Splitting the middle term, we get

[tex]x^2+12x-4x-48=0[/tex]

[tex]x(x+12)-4(x+12)=0[/tex]

[tex](x+12)(x-4)=0[/tex]

Using zero product property, we get

[tex](x+12)=0\text{ and }(x-4)=0[/tex]

[tex]x=-12\text{ and }x=4[/tex]

Width cannot be negative. So, [tex]x=4[/tex].

Therefore, the width of the rug is 4 feet.

RST with vertices R(–2, 3), S(1, 2), and T(2, –1) is rotated 270° counterclockwise about the origin.

Answers

Answer:

vertices are rotation by  270° about the origin

R¹( 3, 2), S¹( 2, -1) and T¹ (-1,- 2)

Step-by-step explanation:

Explanation:-

The rule for a rotation by 270° about the origin is

( x,y) → (y,-x)

Given vertices are  R(–2, 3), S(1, 2), and T(2, –1)

Given vertices are rotation by  270° about the origin

R¹( 3,-(-2)) , S¹( 2 , -1) and T¹ (-1 , -(2))

R¹( 3, 2), S¹( 2,-1) and T¹ (-1,- 2)  

2(x + 5) = 3x + 1 I need help. Its saying that the answer is 9. When I typed in 9, it says explain how you got it.​

Answers

Answer:

Step-by-step explanation:

just solve the equation

2x+10=3x+1

we will subtract 10 from one side and 3x from the other

2x-3x=-10+1

-x=-9 we will multiply by negative 1

x=9

you got the answer by solving the equation and find the value of x

1)) Solve for a . 11.2 > 2a​

Answers

Answer:

a<5.6

Step-by-step explanation:

11.2>2a

11.2/2>2a/2

5.6>a

a<5.6

The Slow Fix auto shop charges $28 for parts and $48 per hour of labor. The We Work Cheaper auto shop charges $59 for parts and $44.90 per hour of labor. For how many hours will the total cost the same for both auto shops?

Answers

Answer: 10 hours

Step-by-step explanation:

Given

Slow fix auto charge $28 for parts and $48 per hour of labor

We work charge $59 for parts and $44.90 per hour of labor

Suppose both works for x hours

Cost of Slow fix= [tex]\$(28+48x)[/tex]

Cost of We work= [tex]\$(59+44.90x)[/tex]

When these costs are the same

[tex]28+48x=59+44.90x\\3.1x=31\\x=10\ hours[/tex]

Which of the following is a property of all parallelograms? (help fast please)
A.Each pair of opposite angles is supplementary.
B.Only one pair of opposite angles is congruent.
C.Each pair of opposite sides is congruent.
D.There are four right angles.

Answers

I believe it is C because each side is congruent.

12 X (3 + 2) 2 - 2 - 10

Answers

Answer:

12x(3+2)2-2-10 = 120x−12

Answer:

140

Step-by-step explanation:

how do you simplify a x b x 7

Answers

Answer:

7ab

Explanation:

ab=axb

So it's easy!!

The answer will be 7ab(always remember the whole number should come first)

A x B x 7
A And B will join together cuz multiply sign
And seven also gets multiplied so
7AB is the answer

3x - 6y = -48 and 2x + 3y = 38 How would I solve by substitution?

Answers

Answer:

(4,10)

Step-by-step explanation:

3x-6y= -48

3x=6y-48

x=2y-16

2(2y-16)+3y=38

4y-32+3y=38

7y=70

y=10

3x-6(10)=-48

3x=12

x=4

Enrique took his family out for dinner to leave a 20% tip. If the bill was $131.00, what was his tip? How much was his total cost?

Answers

Answer:

$26.2 was the tip. $157.2 was the total cost.

Step-by-step explanation:

Hope this helps! Have a Fantastic Fri-yay!

write as fraction in the lowest form : 2.34

Answers

Answer: 117/50 234%

Step-by-step explanation:There :>

I think answer is 117/50

Evaluate 8 (x – y) when x
5 and y = 2
I need help please this is due at 12:00

Answers

Answer:

24

Step-by-step explanation:

8(5-2)   (insert x=5 , y=2)

8(3)

24

Find the perimeter of the rectangle whose coordinates are A (5, 3), B (8, 3), C
(8,5), and D (5,5).

O 10 units
O 12 units
O 9 units
O 8 units

Answers

Answer:

9

Step-by-step explanation:

Plz help due tomorrow

Answers

Answer:

this is the best answer

Step-by-step explanation:

Hope you like my answer

Which figure is a scalene triangle?

Answers

Answer:

the one under the red

Step-by-step explanation:

The triangle in red is he scalene triangle.

10% of the passengers on a fly with us airlines flight are in first class. If there are 40 passengers in first class, how many total passengers are on the flight

Answers

Answer:

400 passengers

Step-by-step explanation:

To solve the problem, a proportion would be best!

First, let's set up the left side of the proportion. Percents, when used in parts, are always part of 100%, making 100% a whole. We'll use both 10% and 100% as our first fraction, which should look something like this:

[tex]\frac{10p}{100w}[/tex] (with p standing for part and w standing for the whole)

Next, let's set up the right side of our proportion. We'll use the 40 for our part and x for our whole since that is the number we are solving for. The proportion should now look like this:

[tex]\frac{10p}{100w} = \frac{40p}{x}[/tex]

To solve, just cross multiply and divide! Multiply 40 by 100 to give you 4,000. Next, divide 4,000 by the remaining 10 to give you a final answer of 400. If 40 passengers on the flight are in first class, then there are 400 total passengers. Hope this helps!

Pls help asap! Will give brainliest and thank your profile

Answers

Answer: B

Step-by-step explanation:

honey is added with 56 more pounds of honey making it go up on the graph to almost 300 so the only one that matches this is b.

Write two fractions equivalent to 4
_
12

Answers

Answer:

2/6

1/3

Step-by-step explanation:

(GIVING BRAINLIEST!!)


A relay race is run by 4 athletes. The total length of the race is 1/2 mile. Each athlete runs an equal distance. How far does each athlete run?


A) 1/2 mile

B) 1/3 mile

C) 1/4 mile

D) 1/5 mile

Answers

Answer:

A

Step-by-step explanation:

they all ran the 1/2 mile

Answer:

A 1/2

Step-by-step explanation:

Jack lives 3.7 miles from school.
He walks there and back each day.
How far does Jack walk in one school week?​

Answers

Answer:

37

Step-by-step explanation:

Assuming there is 5 days in his school week. He would walk 37 miles. First you would do 3.7 times 2 to get the number he walks there and back everyday. Then you would times that by 5 for each day he walks there and back. Final answer is 37.

What is 9x +9= 9x + I really need help !!

Answers

i’m most likely sure it’s 0
=

9

Answer:

Theres no solution.

Step-by-step explanation:

M a th w ay

TRUE OR FALSE:

16 + 72n = (2 + 9n)(8)

Answers

Answer:

true

Step-by-step explanation:

please see the image I attached of my work

Answer: this is true

Step-by-step explanation:

Monica is a drawing a monthly salary of 45000 if rupee e 15000 is spend every month on repayment of a loan what percent of her salary is she spending onrepayment? if 24% of the remaining salary is spend on food find the The Expenditure on food...​

Answers

Answer:

a) 33.34% b) 7200

Step-by-step explanation:

a) to find 15000 is what % of 45000

(15000/45000 ) * 100

= 33.34%

b) finding expenditure on food

(24/100) * 30000

=7200

Ethan's football team scored a total of 35 separate times this season, with a mix of touchdowns and field
goals. Each touchdown is worth 7 points, and each field goal is worth 3 points. If the team scored a total of
193 points this season, how many touchdowns and field goals did they score?

Answers

9514 1404 393

Answer:

22 touchdowns13 field goals

Step-by-step explanation:

Let t represent the number of touchdowns scored. Then 35-t is the number of field goals, and the total score is ...

  7t +3(35 -t) = 193

  4t = 88 . . . . . . . . . . simplify, subtract 105

  t = 22

  35 -t = 13

The team scored 22 touchdowns and 13 field goals.

1/3z=-5


Solve the equation for the value of the variable show all work please and thanks for the help

Answers

Answer:

the equation does not make sense

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