Express your answer as a polynomial in standard form.
f(x) = 3x² + 4x – 7
g(x) = 2x – 11
Find: g(f(x))

Answers

Answer 1

Answer:

g(f(x)) = 6x^2 + 8x - 25

Step-by-step explanation:

So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).

So this is how your equation should look, and then solve:

g(f(x)) = 2(3x^2 + 4x - 7) - 11

g(f(x)) = 6x^2 + 8x - 14 - 11

g(f(x)) = 6x^2 + 8x - 25   < ---- This is your answer

Hope this helps!


Related Questions

Hey can someone pleasse help

Answers

Answer:

73.6

Step-by-step explanation:

PLEASE HELP

1. I like or go to the beach or I like to eat ice cream.

2. I like or go to the beach and I like to eat ice cream.

3. I enjoy rainy days and I like to eat ice cream.

4. I do not enjoy eating ice cream or I do not enjoy rainy days.

5. Therefore, I enjoy ice cream.

ANSWER OPTIONS
A. p v q
B. ~q v r
C. r ^ q
D. p ^ q
E. (Three dots in the shape of a pyramid) q

Answers

Answer:

it's c. r ^ q

Step-by-step explanation:

I just did it in Edgy 2020

Answer:

Step-by-step explanation:

These are what the symbols mean so you can better understand them

p: I like to go to the beach

q: I like to eat ice cream

r: I do not enjoy rainy days

^ = means OR so a that has or in it.

v = means AND so any sentance with and in it

~ = not so any phrase that condridicts what the origional P,Q, and/or R

∴ = Therefore so any phrase with therefore.

So; p ∧ q would be P... OR... Q  acording to the key above would be

I ilke to go to the beach OR I like to eat icecream.

You can figure out the rest! Hope this helps you!

Find the X and Y intercepts of the equation..

Answers

Answer:

X would be the rate of change so it's x or 1 in this problem.

Y-intercept is -7

Step-by-step explanation:

hope this helps

Which of the following fraction pairs are equivalent fractions? *
a. 1⁄4 and 1⁄2
b. 1⁄4 and 3⁄4
c. 1⁄4 and 4⁄12
d. 1⁄4 and 8⁄32

Answers

Answer:

D. 1/4 and 8/32

Step-by-step explanation:

its d because if you simplify 8/32 you get 1/4


The scale factor to dilate Triangle ABC to Triangle DEF is _.

Answers

1/2

If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2

g + 10 = 3g

Translate into a sentence !! HELPPPPP

Answers

The sum of g and 10 equals the product of 3 and h

Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)

Answers

Answer:

−3⋅(7n+1)

Step-by-step explanation:

The gcf is 3

1. In Room 7 there are 28 students. In Room 9 there are 30 students. In Room 11 there are 23 students. How many students are in all three rooms? . If the total number of students in problem 1 were equally divided among three rooms, how many students would be in each room? and there is 81 in all the rooms

Answers

Answer:

27 is the answer

Step-by-step explanation:

room 7 = 28 students

room 11 = 23 students

room 9 = 30 students

Total students = 81 students

If they are equally divided then = 81/3

= 27

!!HELP!! can someone solve these two? Find the slope

Answers

I believe both have undefined slopes, because both are horizontal and vertical lines.

Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?

Answers

Answer:

7 quarts of punch

Step-by-step explanation:

62/8 is 7.75,

A student travels a distance of 25 kilometers in a time of 5 hours. What is the average speed of this student during this trip?

Answers

Answer:

5 kilometers per hour

Step-by-step explanation:

25 (kilometers) divided by 5 (hours) = 5 kilometers per hour

5 kilometer an hour

Question 13
Find the value of x.

Answers

Answer:

idrk i think it is 16x²

Step-by-step explanation:

help me plzzzzzzzzz​

Answers

34, 68 ....(gusBCHDYEJTWJVDKGDOYROYRDKH
It would be 26 and 37.

I need helpppp IDKK

Answers

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

What supplies electricity in a circuit
A.the source
B.the conductor
C.the insulater
D.the wires

Answers

Answer:

B.the conductor

Step-by-step explanation:

11x-2 can you solve for xplzz

Answers

Any other information?

Answer:

-22

Step-by-step explanation:

What is 5 plus 2 1/4

Answers

Answer:

7 1/4

Step-by-step explanation:

the 5 is not affecting the fraction so just add the whole numbers

Answer:

7.25 or 7 1/4 as a fraction

Q3. A + B = 0 and AB = - 36.
What is the value of A-B?

Answers

Step-by-step explanation:

A + B = 0

A = -B

(-B)B) = -36

-B^2 = -36

B^2 = 36

B = 6, -6

So, A = -6, 6

A - B = -12

or

A - B = 12

Answer:

A - B = ± 12

Step-by-step explanation:

Given

A + B = 0  → (1)

AB = - 36 → (2)

Subtract B from both sides of (1)

A = - B ← substitute into (2)

- B(B) = - 36 ( multiply both sides by 0 1 )

B² = 36 ( take square root of both sides )

B = ± 6

Substitute into (1)

If B = 6 then A =- 6 and A-B = - 6 - 6 = - 12

If B = - 6 then A = 6 and A - B = 6 - (- 6) = 6 + 6 = 12

with form of slope is it please help me the question is on the image​

Answers

Answer:

[tex]y = - 2x + 7[/tex]

you can see from graph that line is going through (0,7) and (5,-3) and that is enough to fine the equation of a line using formula

[tex]y-y_1= \frac{y_2-y_1}{x_2-x_1} \times (x-x_1)[/tex]

A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?

Answers

Answer:

4 mins

Step-by-step explanation:

The time taken by the rocket to reach the ground is 8 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The toy rocket is launched from a platform

The height of the platform = 12 feet

The initial velocity of the rocket = 128 feet / second

Let the height of the launch be = h

Let the time taken by the rocket be = t

The height after the launch after t seconds is given by the equation

h ( t ) = -16t² + 128t + 12

Now , for the rocket to reach the ground , the equation will be

h ( t ) = -16t² + 128t

Since , it is launched from the 12 foot platform , the equation will be

h ( t ) = -16t² + 128t

The height of the rocket on reaching the ground h ( t ) = 0

Substituting the value of h ( t ) in the equation , we get

h ( t ) = -16t² + 128t

0 = -16t² + 128t

16t² - 128t = 0

16t ( t - 8 ) = 0

t - 8 = 0

Adding 8 on both sides , we get

t = 8 seconds

Hence , the time taken by the rocket to reach the ground is 8 seconds

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

May anyone please help me?

Answers

Answer:

1

Step-by-step explanation:

0^2 + 1

1

Which expression is equivalent to x−2y ?

Answers

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

Answer:

x+2y+x+2

=2x+2y+2

=2(x+y+1)

Step-by-step explanation:

i hope its right

I need help with Geometry Please help me

Answers

Answer:

It would be B.

Please let me know if I'm incorrect!

My teacher put no’s and yes’s

Answers

Answer:

I'm sorry can't help but edit it to a question

Step-by-step explanation:

:) ello

solve for y 3/2y+12=7/5y-20


HELP ASAP

Answers

Answer:  y = -320

Steps:  ³⁄₂y + 12 = ⁷⁄₅y - 20

Subtract 12 from both sides:  ³⁄₂y + 12 - 12 = ⁷⁄₅y - 20 - 12

Simplify: ³⁄₂y = ⁷⁄₅y -32

Subtract ⁷⁄₅y from both sides: ³⁄₂y -  ⁷⁄₅y = ⁷⁄₅y -32 -  ⁷⁄₅y

Simplify: ⅒y = -32

Multiply both sides by ten: 10  ·  ⅒y = 10  · -32

Simplify: y = -320

Plz mark brainliest:)

Find the probability of getting a doublet in a throw of a pair of dice.​

Answers

There are six ways to roll 2 dice such that both dice have the same value
These are the outcomes (1,1),(2,2),(3,3),(4,4,)(5,5) and (6,6).

To find the total number of outcomes, note that there are 6 choices for the first die (values 1–6) and there are 6 choices for the second die (again values 1–6) and so by the Multiplication Principle (MP) there are 36 total outcomes from rolling two dice once.

Now we have the following:

P(getting a doublet) =
Total number of outcomes
Number of ways to get double

=
36
6

=
6
1



Thus, the probability of getting a doublet is
6
1

.

Question:

Find the probability of getting a doublet in a throw of a pair of dice.

Answer:

The probability is 1 out of 6.

Explanation:

There are a total of 6 possibilities that you get a doublet, which is {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}, and {6, 6}.

The total possibilities of throwing a dice are 6 possibilities for the first dice, and 6 possibilities for the second dice. Which results in a total of 6 × 6 = 36 possibilities available.

Probability = Possibilities of getting doublet ÷ Total possibilities = 6 ÷ 36 = 1 ÷ 6.

Hopefully this answer will help you.

What should be the first step to solve the equation?
2x + 9(x – 1) = 8(2x + 2) – 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.

Answers

You would use the distributive property on each side of the equation

Answer: B  

(Use the distributive property on each side of the equation.)

Step-by-step explanation:

Delia organised the same event last year . this year conference had a 12% increase in attendance compared to last year. 1071 people attended this year . how many attended last year?​

Answers

Answer:

1071/112=1%

1%= 9.5625

100%= 9.5625*100 = 956.25

Example:

112 People attendet this year. If the increase Was also 12%, a 112 people equals 112%. So,

112/112=1

1*100= 100

However, I am suprised that 956 and 0.25 People attendet the prevoius year. Are you Sure the Numbers are correct?

What is the product 70 × 10 power of 4?

Answers

Answer: 700000

Explanation: 70 • 10= 700
700 to the power of 4= 700000



Pls give brainliest

Determine the preferred width of each class if you use 8 classes, a high of 87, and a low of 2. (this is a statistics question)

A. 15
B. 13
C. 11
D. 10

Answers

Answer:

11 ; C

Step-by-step explanation:

To get the class width, we start by finding the range of the data set

That will be; the highest number - the smallest number

= 87-2 = 85

We proceed by dividing the number of classes we want by this number

That will be 85/8 = 10.625

We now proceed to approximate this value to the nearest whole number = 11

Hence , 11 is the class width to use

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