Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)

Answers

Answer 1

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4


Related Questions

Please please help me I literally don’t understand this

Answers

Answer:

n iynoo etindeo soiefijnqaifnqaiwrfofoainjfoiawsfiowoianfqaihjnfoiansn

Step-by-step explanation:

Answer:

AA similarity postulate

Step-by-step explanation:

so if you look at the angle they both have a 90 and the larger triangle is just flipped a different way. because triangles must add up to 180, you have your 90 degree angle on both and the larger one has one degree of 50 meaning its other angle must be 40 in order to add up to 180 and the smaller triangle is the opposite as it has a 40 and 90 degree angle meaning the other must be 50 therefore have Angle Angle similarity

A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?

Answers

it’s 7.32 just answered this question

Solve 7y-6=2y+8
Show that 7/8-5/6=1/24
Show that 5/8÷7/12=1 1/14
Simplify fully v4×v7÷vt

Answers

Answer:

Please check the explanation part for more details.

Step-by-step explanation:

1. Solve [tex]7y - 6= 2y + 8[/tex]

Send all components contain [tex]y[/tex] to the left, the other components to the right:

<=> [tex]7y - 6 = 2y + 8[/tex]

(sign of  [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)

<=> [tex]5y = 14[/tex]

Divide both sides of equation by [tex]5[/tex]:

<=> [tex]y = \frac{14}{5}[/tex]

2. Show that  [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]

First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).

[tex]8 = 2^{3}[/tex]

6 = [tex]2[/tex] x [tex]3[/tex]

=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]

Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]

=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]

Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]

=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]

=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]

3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]

[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]

4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]

Hope this helps!

:)

In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?

↓↓

$12

↑↑



ITS DUE TODAY HELP PLEASE

Answers

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

What is the standard form of this function?
f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10

Answers

Answer:

D

Step-by-step explanation:

To find the standard function, open the bracket

f(x) = (x-2)^2 + 6

(x-2)^2 becomes

x(x-2) -2(x-2)

= x^2 -2x -2x + 4

= x^2 -4x + 4

Now add 6 and it becomes x^2 -4x + 4 + 6

= x^2 -4x + 10

Work out 50 as a presentage of 10

Answers

Answer:

500%

Step-by-step explanation:

10= 100%

50= 5*10= 5*100%= 500%

Can you show the working out as well please?​

Answers

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend

Answers

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

plz help!! i believe it's a but i'm not 100% sure

Answers

Answer:

its a

Step-by-step explanation:

Don’t second doubt yourself, you’re absolutely correct.

4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.

Answers

B is the correct answer

Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?

Answers

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B

a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to add up both polynomials together :

A = 7x² + 3xy

B = -3xy

A + B = 7x² + 3xy + (-3xy)

= 7x² + 3xy - 3xy

= 7x²

Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs ​$4.00 per square foot. How much will the flooring for the room​ cost?

Answers

Answer: $520


Explanation: We can tell that this is an area problem from the mention of the square foot and from the simple fact that only area would cover the whole room.

The floor is a rectangle and the formula for area of a rectangle is A=lw.

13*10 is 130.

When you multiply this by 4, you get 520.

Point A is the incenter of ΔDEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. What is the value of n? 7 11 14 15

Answers

Answer:

The correct option is;

11

Step-by-step explanation:

The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively

Given that point A is the incenter of ΔDEF, we have;

∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA

∠LDA = ∠XDA = 27

∠MDA = ∠YDA = 3··n - 6

Therefore, 27 = 3·n - 6

3·n = 27 + 6 = 33

n = 33/3 = 11°

Answer:

11

Step-by-step explanation:

edge2020

solve for x
possibly answer

12
-7
5
-6​

Answers

Answer:

12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees

Can someone please help

Answers

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

[tex]82 = w + 1[/tex]

Then we would subtract 1 from both sides, then we are left with w:

[tex]w = 81[/tex]

Hope this helps!

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

What is the value of the product (3 – 2i)(3 + 2i)?

timed test please help me

Answers

Answer:

the answer is 9-4i

Step-by-step explanation:

multiply

Nsnnsjakaokasjnxnamqmsmx xndkekqkqlq

At a state park, the rangers' office knows the current population of deer in the park is 482 animals and predicts the population will increase by 5% per year for the foreseeable future. The park's acreage can currently sustain a population of 645 deer, and the rangers estimate that number will increase over the next t years by 20t - t2. Which system of equations can be solved to find the number of years from now, t, when the population of deer will exceed the number sustainable by the park's acreage?

Answers

Answer:

In six years the population will exceed 645 deers

R (x) = 3x + 17/ -6x^2 + 39x

Answers

Answer:

[tex]\frac{3x+17}{-3x(2x-13)}[/tex]

unless there is more to the question

Step-by-step explanation:

You can't do anything to the top so work with the bottom.

since both terms have an x and are divisible by 3 take out a GCF of -3x

The bottom should be: -3x(2x-13)

You can't simplify any further.

A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).

Answers

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

 

Hope this helps!

:)

How many points does a plane have that is on the same line



Answers

In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)

A) 2x-3
B)3x-3
C)4x+1
D)2x-1

Answers

Answer:

C.

Step-by-step explanation:

The line AB had midpoint (2, 5).

A has coordinates (1, 2).

Find the coordinates of B.

Answers

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

=>

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

:)

Answer:

B(3, 8 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let the coordinates of B = (x, y ), then

[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )

1 + x = 4 ( subtract 1 from both sides )

x = 3

and

[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Thus

coordinates of B = (3, 8 )

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?

Answers

Step-by-step explanation:

Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest

Fully Factorise 5k^2+7k​

Answers

Answer:

k(5k +7)

Step-by-step explanation:

The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets

Answer:

5k^2+7k = k(5k+7)

Step-by-step explanation:

5k^2/k = 5k

7k/k = 7

Calculate the surface area of each polyhedron. Pls!! Show work

Answers

Answer:

384 m^2

Step-by-step explanation:

Surface area of cube = area of 1 side x 6

area of 1 side, in this case = 64 m^2

so, total surface area = 64 x 6 = 384 m^2

How many fourths are in 2?

Answers

I think there’s 2 fourths in 2 , I tried my best

Answer:

2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Step-by-step explanation:

help me with this pls like omg soooo stressful

Answers

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

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