f(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))[/tex]

we input the function g(x) into every x in f(x)

[tex]f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11[/tex]


Related Questions

10 1/2 x 1/3 help me pls

Answers

Answer:

The answer is 3.5

Step-by-step explanation:

Hope this helps :)

Please help please :)

Answers

The answer is 1/2 or 0.5

i multiplied 0.2 by 2.5

Brainliest plz!


8. Ten friends go out for dinner. The total cost of the meals is $141. Some
friends have three-course meals and the rest have two-course meals. Each
of the three-course meals costs $15 and each of the two-course meals
costs $12. The number of people who have three-course meals is x, so the
number of people who have two-course meals is 10 - x. How many three
course meals are possible?

2 three-course meals

20 three-course meals
e

7 three-course meals

5 three-course meals

Answers

Answer:

7 three-course meals

Step-by-step explanation:

7 x 15= 105

141-105= 36

36/12= 3

7+3= 10

So total, there are 10 meals; 7 three-course and 3 two-course

Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?

Answers

Answer:

[tex]y-18=-2(x+2)^2[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y-k=a(x-h)^2[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

[tex]y-18=a(x+2)^2[/tex]

Now substitute the point (-5,0) and find the value of a:

[tex]0-18=a(-5+2)^2[/tex]

Operating:

[tex]-18=a(-3)^2[/tex]

[tex]-18=9a[/tex]

Solving for a:

[tex]a = -18 / 9[/tex]

a = -2

Thus, the equation of the quadratic function is:

[tex]\mathbf{y-18=-2(x+2)^2}[/tex]

I need help with this math question please

Answers

Answer:

yes D. is correct

Step-by-step explanation:

Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°. (just enter the number for your answer)

Answers

Answer:

280

Step-by-step explanation:

edge 2021

There were 26 students in the class 2 of them later moved to another
school. The teacher wants to place students at an equal number at each of 4
tables. How many students did the teacher place at each table?

Answers

Answer:

6 at each table

Step-by-step explanation:

26 - 2 is 24 and 6 times 4 is 24

Answer:

6 students

Step-by-step explanation:

There's a total of 26 so take the 2 students out so now you will have 24. Just do 24 divided by 4 and you will get 6.

What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive

Answers

I think it’s negative but I’m not for sure

Patrica can drive 36 kilometers for every 3 liter of gas she puts in her car complete the table using equivalent ratios

Answers

Answer:

48 K - 4 L

132 k - 11 L

Step-by-step explanation:

36 ÷ 3 = 12 so that means that for every 1 liter there are 12 Kilomiters.

4 x 12 = 48

11 x 12 = 132

Solve the system of equations.
\begin{aligned} &-6y+11x = -36 \\\\ &-4y+7x=-24 \end{aligned}


−6y+11x=−36
−4y+7x=−24

Answers

Answer:

The solutions to the system of equations will be:

[tex]y=6,\:x=0[/tex]

Step-by-step explanation:

Given the equation

[tex]-6y+11x=-36[/tex]

[tex]-4y+7x=-24[/tex]

solving the system of equations

[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]

[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]

[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]

[tex]-12y+21x=-72[/tex]

[tex]-[/tex]

[tex]\underline{-12y+22x=-72}[/tex]

[tex]-x=0[/tex]

[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]

solving for x

[tex]-x=0[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]

[tex]x=0[/tex]

[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]

[tex]-12y+22\cdot \:0=-72[/tex]

[tex]-12y+0=-72[/tex]

[tex]-12y=-72[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]

[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]

[tex]y=6[/tex]

Therefore, the solutions to the system of equations will be:

[tex]y=6,\:x=0[/tex]

GEOMETRY INEQUALITY. HELP PLEASE

Answers

I’m going through this myself actually too lol.

Answer:

some excuse to get points um hi

Step-by-step explanation:

Find the percent increase round to the nearest percent

From 42 acres to 72 acres

Answers

Answer:

58.333333 percent

Step-by-step explanation:

58 percent

I took 42 divided by 72 times 100

what is -40+7r=-5(8+5r)

Answers

Answer:

r= -40/9 or r=-4 4/9

Step-by-step explanation:

You're welcome :)

Solve the system
x + 3y = 6
2x + 4y = 12

A. (3,2)
B. (6,0)
C. (5,0.5)
D. (4,1)

Answers

Answer:

Hi... Your answer is... B

what is 9 + 8 X 3 – (5 x 2) using pemdas​

Answers

Answer:23

Step-by-step explanation:

What equations are equal to 3x-12=24

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know the answer to this question. Good luck!


What is the scale factor of the ratio 2:7 ?

Choices:
K=2/7
K=7/2
K=2/9
K=7/9
K=9/2
K=9/7

Answers

Answer:

K=2/7  

in ratios you are dividing that to that(that:that)

I hope this is good enough:

Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?

Answers

Answer: C (0,0), (-4,0) and (0, -5)

Step-by-step explanation:

After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.

To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.

Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.

The new coordinates for the repositioned triangle will be:

A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)

B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)

C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)

To know more about coordinate geometry proofs.:

https://brainly.com/question/6709986

SPJ2

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

What is the solution of the following one step equation? X-0.7= -2

Answers

Answer:

x = -1.3

Step-by-step explanation:

I NEED HELP LIKE ASAP Which ratios are equivalent to 3 parts silver paint to 4
parts green paint? Check all that apply.
O4:5
O 6:8
O 5:6
O9:12

Answers

Answer:

its o4:5

Step-by-step explanation:

I’m pretty sure it’s 6:8

Explanation

Because when u seee 2 parts it’s the same

What is the solution for x in the equation?
9x - 20 - 4x = 40?

X=1/4
X=4
X=12
X=1/12

Answers

Answer:

x = 12

Step-by-step explanation:

9x - 20 - 4x = 40

Combine like terms

5x -20 = 40

Add 20 to each side

5x -20+20 = 40+20

5x = 60

Divide by 5

5x/5 = 60/5

x = 12

9x - 20 - 4x = 40

By transposition method, we get

9x - 4x = 40 + 20

By simplifying the like terms, we get

5x = 60

or, x = 60/5 = 12

The value of x is 12.

Hey im helping my lil sis but before i answer it i wanna make sure im right so do any of u have a answer??

Answers

Answer:

Correct.

Step-by-step explanation:

Those points are plotted correctly.

Hope this helps :D Please hit the crown :D

SOMEONE PLEASE HELP
ONLY ANSWER IF YOU KNOW THE ANSWER
I WILL BE REPORTING ANSWERS THAT HAVE NOTHING TO DO WITH THIS ​

Answers

Answer: c and e

Step-by-step explanation:

PLEASE HELP MEEEEE THIS IS SO HARDDD

Answers

Answer:

B and $684

Step-by-step explanation:

B, because wednesday is three days after sunday so 4 times 3 because she walks 4 more laps each day until saturday. Add the 24 laps she already walks 4(3)=12+24=36

By saturday she would've walked 48 laps, so 48 times 3 for the 3 dollars each lap. 48(3)=144 now u have to find the other days so the equation you would use is 3(24 + 4x), x for the day until saturday. 3(24+4(1))=3(28)=84,just do that for each day and then add all them together because the question asked by the end of the week, saturday, how much money so yea. 84+96+108+120+132+144=684

(honestly u could just keep adding 12 to the previous number as that's what it's increasing by.) haha rlly hope I'm not wrong on the second one. Have a nice day!

Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation

Answers

Answer:

the triangle was rotated about 90 degrees i think

Answer:

The answer is D. Rotation

Step-by-step explanation:

Took the test lol

58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15

Answers

Answer:

a

Step-by-step explanation:

3. Multiply (2x - 3) by (x2 - 2x + 1)
a. 2x3+ 7x2 - 8x + 3
b. 2x3- 7x2 + 8x - 3
c. X+ 7x2 - 6x + 3
d. 3x - 7x2 + 8x - 3

Answers

Answer:

B.

2[tex]x^3[/tex] - 7[tex]x^2[/tex] + 8x -3

Step-by-step explanation:

To multiply a binomial (2 terms) by a trinomial (3 terms):

Multiply the first term of the binomial by the each term of the trinomial.

Multiply the second term of the binomial by each term of the trinomial.

Combine the expressions and simplify.

(2x-3)*([tex]x^2[/tex]-2x+1)

(2x * [tex]x^2[/tex]) + (2x * -2x) + (2x * 1)

(2[tex]x^3[/tex]) + (-4[tex]x^2[/tex]) + (2x)

(2x-3) * ([tex]x^2[/tex]-2x+1)

(-3 * [tex]x^2[/tex]) + (-3 * -2x) + (-3 * 1)

(-3[tex]x^2[/tex]) + (6x) + (-3)

[2[tex]x^3[/tex] + -4[tex]x^2[/tex] + 2x] + [-3[tex]x^2[/tex] + 6x + -3]

2[tex]x^3[/tex] - 7[tex]x^2[/tex] + 8x -3

give me brainliest please

Ming earns $35 washing 7 windows. At this rate, how much does Ming earn washing 8 windows?​

Answers

  Answer:

40

Step-by-step explanation:

35 divided by 7 = 5

5x8 =40

HELP PLEASE ILL GIVE U 50 POINTS​

Answers

Answer:

^{3} + 3x

Step-by-step explanation:

^{3} means x cubed.

Answer:

10x + 2.

Step-by-step explanation:

Perimeter = 2*2x + 2 *(3x + 1)

= 4x + 6x + 2

= 10x + 2.

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