Give brainliest! F (x) = x³ + x² - x + 2 and G (x) = x² + 5 What is (FG)(x)?

Answers

Answer 1

Answer:

Step-by-step explanation:

My guess is x^5+x^4-X+7

Answer 2

Answer:

(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147

Step-by-step explanation:

Assuming that (FG)(x) = F ° G (x) = F(G(x))

(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2

_________________________________

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a + b)² = a² + 2ab + b²

_________________________________

(F ° G) (x) =

((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =

(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =

x⁶ + 16x⁴ + 84x² + 147


Related Questions

Write the slope intercept form of the equation of each line given the slope and y intercept

Answers

Answer:

Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.

Step-by-step explanation:

A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet

Answers

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21

Answers

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].

plz help me to find this answer plz​

Answers

Answer:

I think the answer would just be 2, I'm not for sure on this one

Identify the coeficient: 6x + 19

Answers

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

Answer:

6

Step-by-step explanation:

Coefficients are the numbers in terms with the variable

6 is the number with the variable (x)

Can someone help me find the volume of the cone and the entire figure

Answers

Answer:

10x15x10 1500

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Answer:

D

Step-by-step explanation:

f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17

Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D

Answers

Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

HELP Use either law of sines or law of cosine. Need help on this problem! show work please!​

Answers

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

Using Cosine rule for solving this |QR| l got 22

answer this and don’t answer if you are not smart

Answers

Answer:

60 degrees

Step-by-step explanation:

This is a complementary angle, so the equation to use is 30+x=90.

To find out what x is, we have to use the Subtraction Property of Equality.

30+x=90

-30     -30

       x=60

An ice cream shop makes sundaes with chocolate or vanilla flavors and sprinkles,
fudge or caramel toppings. Which tree diagram shows all possible flavor combinations of sundaes with one flavor of ice cream and one topping?

Answers

Answer:

top left aka the first option

The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.

What is tree diagram ?

A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.

Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.

A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.

From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.

Hence A is the correct option.

To know more about tree diagram here

https://brainly.com/question/13311154

#SPJ3

Why do equivalent ratios form a straight line when graphed?

Answers

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
rectangle. The area of the rectangle is 90 square inches. *

Answers

Answer:

6 in and 15 in

Step-by-step explanation:

Given:

l = 2w + 3A = 90 in²w = ?l = ?

Area formula:

A = lw

Substitute values and solve for w:

(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± [tex]\sqrt{3^2 - 4*2*(-90)}[/tex])/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)

The width is 6 in, find the length:

l = 2*6 + 3 = 15 in

width be x

Length be 2x+3

Now

area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0

On solving we will get

x=6[Take positive]

Now

Length=2(6)=3=15in

What is the midpoint of the segment with endpoints (1,9)and(-3,5)

Answers

Answer:

(-1,7)

Step-by-step explanation:

please help me out, thank youuu !

Answers

10.9 your welcome :)

1/3 = 0.333 repeating 3/3=1 0.333*3=0.999 repeating. Does 0.999 repeating =1? Please explain I've asked this twice already!!

Answers

Answer:

yes and no

Step-by-step explanation:

0.999... is as close as you can get to 1 and not actually be there.

Most people just round up to 1

The diameter of a circle is 14 cm. Find its area in terms of \piπ.

Answers

153.86 cm²(Assuming pi equals 3.14)14 ÷ 2 = 77² = 4949 x 3.14 = 153.86OR49π14 ÷ 2 = 77² = 4949π

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative

Answers

Answer: [tex]v=-3[/tex]

Step-by-step explanation:

Given

The position of a particle is [tex]s(t)=-9-3t[/tex]

Velocity is given by the derivative of position with respect to time

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]

So, velocity is constant at any point in time.

At t=8, it is [tex]v=-3[/tex]

what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?

Answers

27 is the answer to this question

Please help!! Select the values for the domain & range of the function given below.

Answers

Answer:

the first one n second one

What do the a b and c stand for in the pythagorean theorem?

Answers

a and b are the legs, and c is the hypotenuse.
hope this helps!

Answer:

A, B, and C are labeled for each side of a right triangle.

Step-by-step explanation:

A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.

Which of the following shows how to simplify 2 (4a + 6)?
O 8a + 12
O 12a + 8
O 2a + 3

Answers

First one
You have to work out between 2 x 4a = 8a
Then you work out between 2 x 6 = 12
8a + 12

if y° and 75° are the opposite angles of rhombus, then y°=.....​

Answers

Answer:

if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]

One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?

Answers

Answer:

$1.42

Step-by-step explanation:

Since, The first customer paid $12 for 14 postcards and 5 large envelopes.

That is, 14 x + 5 y = 12        ------ (1)

And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.

That is, 10 x + 15 y = 24.80  -------(2)

3 × equation (1),

We get, 42 x + 15 y = 36 ---------(3)

Equation (3) - Equation (2)

32 x = 11.20

⇒ x = 11.20/32

⇒ x = 0.35

By putting the value of x in equation (1),

We get, 14 × 0.35 + 5 y = 12

⇒ 4.9 + 5 y = 12

⇒ 5 y = 7.1

⇒ y = 1.42

Thus, the cost of one postcard = $ 0.35

And, the cost of each large envelope = $ 1.42

Antonio writes the equation 80.4 ÷ d = 0.0804.


Part A

What value of d makes the equation true?

A. 10 to the 2 power

B. 10 to the 3 power

C. 10 to the 4 power

D. 10 to the 5 power

Answers

Answer:

B

Step-by-step explanation:

Because

A)

[tex]80.4 \div {10}^{2} = 0.8.4[/tex]

B)

[tex]80.4 \div 10^{3} = 0.0804[/tex]

C)

[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]

D)

[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?

Answers

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

The measure of angle ACB is 25°. The correct option is a. 25 degrees

Circle Geometry

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

Learn more on Circle theorems here: https://brainly.com/question/16879446

Can someone help me find the surface area and volume for these shapes ty.

Answers

Answer:

you multiply im pretty sure

Step-by-step explanation:

To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.

Answers

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

It’s lines please help me

Answers

Answer: maybe line C, i dont know

Step-by-step explanation:

Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.

Answers

Answer:

Step-by-step explanation:

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