Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2)

Answers

Answer 1

Answer:

[tex](h(g))(-2)=-32[/tex]

Step-by-step explanation:

Evaluate h ⋅ g

Replace the function designators in h ⋅ g with the actual functions.

[tex](h(g))(-2)=(x^{2} +4)(2x)[/tex]

                [tex]=2x^{2}x+8x[/tex]

Multiply [tex]x^{2}[/tex] by x by adding the exponents.

                [tex]=2x^{3}+8x[/tex]

Evaluate h ⋅ g at −2.

                [tex]=2(-2)^{3}+8(-2)[/tex]

Simplify

                [tex]=-16-16[/tex]

subtract 16 from -16

[tex](h(g))(-2)=-32[/tex]


Related Questions

The area of a rectangle is 18xcm2
If the length is twice the width find the demension of the rectangle

Answers

Answer:

Length 6 width 3

Step-by-step explanation:

3×6=18

3 is double 6

The length of a rectangle is 2 less than two times the width. Perimeter is 42. Find the length and the width.

Answers

Answer:

Hi there

Your answer is

width= 5.75

length= 9.5

Step-by-step explanation:

L=2w-2

P=42

Perimeter formula

L+L+W+W=P

(2w-2)+(2w-2)+w+w=42

8w-4=42

+4

8w=46

/8

w= 5.75

Plug in width in length formula!

L=2w-2

L=2(5.75)-2

L=9.5

What is the domain of the function graph

Answers

Answer:

B. -5 ≤ x ≤ 5

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -5 to 5. Since both are closed dots, they are included in the domain:

[-5, 5] or -5 ≤ x ≤ 5

Answer:

A, if continuous; c, if not

continuous is if it has arrow

Step-by-step explanation:

x  is the line across

In ΔJKL, \text{m}\angle J = (8x+6)^{\circ}m∠J=(8x+6)

, \text{m}\angle K = (2x+2)^{\circ}m∠K=(2x+2)

, and \text{m}\angle L = (4x+4)^{\circ}m∠L=(4x+4)

. Find \text{m}\angle L.m∠L.

Answers

Answer:

The measure of angle L is 52

Step-by-step explanation:

Mathematically, in a triangle, the sum of the angles equal 180

So in this case;

J + K + L = 180

So therefore;

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 4x + 6 + 2 + 4 = 180

14x + 12 = 180

14x = 180 -12

14x = 168

x = 168/14

x = 12

So to get the measure of angel L, we simply substitute the value x in the equation for L

From the question, L = 4x + 4

So therefore L = 4(12) + 4 = 48 + 4 = 52

Ada had $42 to spend on a binder and 11 spiral notebooks. The binder cost $9 what was the price of each spiral notebook?

Answers

the price for each one was 3 dollars :)
9 + 11x = 42
subtract 9 from each side
11x = 33
divide by 11
x = 3
$3.00 each. $42-$9= $33 remaining 33/11=3

Which statement describes the Richter scale?

It cannot account for fault movement during an earthquake.
It measures large earthquakes far from the seismograph.
It estimates the total energy released from an earthquake.
It increases in magnitude as amount of damage increases

Answers

Answer:

It increases the magnitude as amount of damage increases

Step-by-step explanation:

Hello, there! My name is Alice and I am here to help you today!

The answer is D)

Here are some notes that will help you with the whole lesson!

Earthquake: Sudden or violent shaking of the ground.

Epicenter: The point of the Earth's surface vertically above the focus of an Earthquake.

Focus: The focus is the place inside the Earth's crust where an earthquake originates.

Magnitude: The great size or extent of something.

Seismic wave: An elastic wave in the Earth.

Seismograph: An instrument that measures and records details of the Earthquake.

The Seismograph is used to find the Focus

Plate movement ⇒ Causes stress.

Stress ⇒ Increasing along faults.

Excess stress ⇒ Leads to rock breaking and an earthquake begins.

Earthquakes begin in the Lithosphere, usually 100km below the surface.

• Earthquakes have two centers

• The focus is the area beneath the surface where rocks beneath break under stress. It is the starting point of an Earthquake

• The Epicenter is the point on the surface directly above the focus

Earthquakes are caused by plate movement. And they begin at the focus.

• Waves carry energy as they travel

• The waves produced by an Earthquake are called Seismic waves

        Seismic waves are classified into three categories

                         

                           « P waves (primary) »

• Arrive first, travel fastest

• Compressed and expand the ground like an accordion

• Travel threw solids and liquids

                   

                      « S waves (secondary) »

• Arrive after P waves

• Vibrate from side to side and up and down

• Shake structures violently when they reach the surface

• Travel ONLY threw solids

                     

                             « Surface waves »

• Travel ONLY on the surface

• Were P and S waves move

• Move slowly

• Can produce dramatic ground movement

• May make the ground roll

The Mercalli scale rates an earthquake according to how much damage it causes. And has 12 levels of intensity.

The Mercalli scale rates earthquakes based on the amount of damage they cause.

The Richter scale measures magnitude based on the size of seismic waves.

• Magnitude is determined by measures based on the size of seismic waves.

• Seismic waves are measured by a seismograph

• This scale is good for measuring small, nearby earthquakes

The moment magnitude scale estimates the total energy released by an earthquake.

• Useful for earthquakes of all sizes and distances

• Data collected with seismographs

• Shows what kind of waves were produced and their strength

The Moment of magnitude scale takes into account the movement of rocks along fault lines.

The Sumatra earthquake of 2004 is the third strongest earthquake ever recorded.

• Measured 9.1-9.3 on the Moment magnitude scale

• Measured at the maximum intensity on the Mercalli scale

• Lasted approximately 9 minutes, the longest duration ever measured

• Triggers a massive tsunami and killed  approximately 250,000 people

Geologists use Sisemic waves to locate an earthquake's Epicenter.

• Use Siesmograph  to measure the difference between the arrival of P and S waves

• Compare data to seismographs from around the world

Earthquakes are caused by stress along faults due to plate movement.

«Traveling Of Energy»

• Seismic waves travel in all directions

• Three types of waves:

• P waves (primary)

• S waves (secondary)

• Surface waves

«Measuring Earthquake   Energy»

• Mercalli scale

• Richter scale

• Moment magnitude scale

«Locating The Epicenter»

• Distance of epicenter measured from at least three seismographs

• Location of the epicenter is where three measurements overlap

Have a great day!

The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer

Answers

Answer:

Step-by-step explanation:

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

Answer:

rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and

g(x)= (369+9x)/x

calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13

statement that the Gordons should buy the $369 television because it is less expensive overall

Step-by-step explanation:

edge 2022

Factor Completely 3x2-7x+2 and please show work !!

Answers

Answer:

8-7x

Step-by-step explanation:

3x2-7x+2

6-7x+2

8-7x

The two lines intersected by the transversal are parallel. If m/1 =(8x) and m/2= (10x - 18) what is the value of x?
A.1
B.9
C.11
D.6

Answers

Answer:

x = 9

Step-by-step explanation:

Given:

m<1 = 8x

m<2 = (10x - 18)

Required:

Value of x

Solution:

<1 and <2 are alternate exterior angles. Alternate exterior angles are congruent. Therefore:

m<1 = m<2

8x = 10x - 18 (substitution)

Solve for x

8x - 10x = -18

-2x = -18

-2x/-2 = -18/-2

x = 9

Help I need it I plz

Answers

Answer:

A. 1.25

Step-by-step explanation:

If a = 7 and b=2 what is (a-b)²

Answers

Answer:

25

Step-by-step explanation:

[tex](7 - 2) { }^{2} [/tex]

[tex] = 5 { }^{2} [/tex]

[tex] = 25[/tex]

7x10^15 grains of sand in world

Answers

Answer:

7.0e15

Step-by-step explanation:

What is the value of the 7in the following number? 2,104.47

Answers

Answer:

7 hundredth is the value of 7 in the question

What is the answer to this?

Answers

Answer:

27

Step-by-step explanation:

90-63

Answer:

27

Step-by-step explanation:

coplimentary angles mean add up to 90 so

90-63=27

What is the factored form of t^6-p^3

Answers

Answer:

-(p - t^2) (p^2 + p t^2 + t^4)

3x + 5 = 20 - 2x
I need sum help

Answers

x=3

Hope this helps!! <3

Answer:

18x

Step-by-step explanation:

select the correct answer from each drop-down menu.

The decibel level of a normal conversation, which has an intensity of 3.2x10-6 watts/m2, is (ANSWER1) dB. If the decibel level goes up to

80, the intensity of the sound will be

(ANSWER2) watts/m2

B = 10103(t.), where is the sound level in decibels, is the intensity of sound you are measuring, and I is the

Use the formula

smallest sound intensity that can be heard by the human ear (roughly equal to 1x10-12 watts/m2).

Answers

Answer:

The intensity of sound in decibel is 65 dB

The intensity of sound in Watts/m² is 1 x 10⁻⁴ W/m²

Step-by-step explanation:

The intensity of sound in decibel is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\[/tex]

where;

I₀ is the smallest sound intensity that can be heard by the human ear = 1 x 10⁻¹² watts/m²

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\\beta (dB) = 10Log(\frac{3.2*10^{-6}}{1*10^{-12}})\\\\\beta (dB) = 65.05 \ dB[/tex]

= 65 dB

If the decibel level goes up to 80 dB, the intensity in W/m² is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o} )\\\\80 = 10Log(\frac{I}{I_o} )\\\\8 =Log (\frac{I}{I_o} )\\\\10^8 = \frac{I}{I_o} \\\\I = I_o *10^8\\\\I = 1*10^{-12}*10^8\\\\I = 1*10^{-4} \ W/m^2[/tex]

What is the value of the expression?
8 1/2 - 2 + 4 3/4

Answers

Answer:

I think the answer is 45/4 i'm so sorry if the answer is wrong

Step-by-step explanation:

Answer:

11 1/4

Step-by-step explanation:

At football practice, the water jug was filled 18 litters 530 milliliters of water. At the end of practice there 795 milliliters left. How much water did the team drink?

Answers

Answer:

17 L 735 mL or 17,735 mL

Step-by-step explanation:

18,530 - 795 = 17 L 735 mL

Add 4x^2+6x+9 to 2x^2+3x-9

Answers

Answer:  6x^2 + 9x

.................................


18
o
t
x
2 I got that
+
4
x
2
+
9
x

9

eight children share two pies equally. how many pies will each child get?

Answers

Answer:

Each child will get 1/4 of a pie

Step-by-step explanation:

the table represents a function. which could be a missing value for x?

Answers

Answer:

8

Step-by-step explanation:

f(x) = x (x^2)

Someone help me with math please.

Answers

Answer:

hypotenuse² = b² + h²

x² = b² + h²

=> x² = 6² + 4²

=> x² = 36 + 16

=> x² = 52

=> x = √52

=> x = 7.21

Each of the 25 students in Mr Walker's class sold 16 raffle tickets. If each ticket costs $15 how much money did Mr Walker's students raise?​

Answers

Answer: $6000

Hope this helps!-xoxo

528+787 using standard algorithm

Answers

Answer: 1,315

528

+787

---------

1315

Answer: 1315

Step-by-step explanation:

1 1

528

+787

1315

Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.
Choose the decimal that is equivalent to this fraction.
A. 0.1
B. 0.11
C. 0.111111…
D. 0.212121…

Answers

Answer:

i think it would be A

Step-by-step explanation:

An ordered pair is written as:
(domain, range)
(range, domain)

Answers

Answer:

the answer is (domain, range) or (x,y)

An ordered pair is written as, (domain, range). So Option A is correct

What is Domain and Range ?

The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable).

The range of a function is the set of all possible output values of the function. It represents the set of all possible values of the dependent variable.

The set of all "x" values constitutes the domain, and the set of all "y" values constitutes the range, in a set of ordered pairs.

You should keep in mind that ordered pairs are represented by the following symbols: (x, y).

Find the domain when examining a collection of ordered pairs by compiling a list of all the relation's x values.

To know more about Domain check:

https://brainly.com/question/28135761

#SPJ6

Which one doesn’t belong

Answers

Answer:

Top left

Step-by-step explanation:

It's the only one that has parentheses. All the others don't have them.

I hope this helps!

Answer:

2^-4  the one in the bottom left corner.

Step-by-step explanation:

(-2)^4 = 16

-2^4 = 16

2^-4 = some decimal

4^1/2 = 16

Which of the following is not a function?
A{ (0,1), (1,2), (2,3), (3,4)}
B.{(0,2), (1,3), (4,3), (1,2)}
C.{(1,3), (4,2), (2,0), (3,4)}
D.{(1,2), (2,2), (3,2), (4,2)}

Answers

Answer:

  B.  {(0,2), (1,3), (4,3), (1,2)}

Step-by-step explanation:

A relation is not a function if the same input value maps to multiple output values. Essentially, if any x is repeated, it is not a function.

The second set, {(0,2), (1,3), (4,3), (1,2)}, has x-values of 0, 1, 4, 1, so 1 is repeated. It is not a function.

Find the coordinates of the midpoint of segment LP with endpoints: L(4, 2) and P(0, 2)

Answers

Step-by-step explanation:

here,

midpoint of line segment LP

=( X1 +X2÷2 , Y1 + Y2÷ 2)

=(4+0÷2 , 2+2 ÷2)

=(4÷2 ,4÷2)

=(2,2)

Therefore the midpoint of segment LP with L (4,2) and P (0,2) = (2 ,2).

Other Questions
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