Please help!!!
Composition of functions~

Please Help!!!Composition Of Functions~

Answers

Answer 1

Answer:

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(t) = t² - 2

h(t) = t + 4

To determine

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]

Using the formula

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]

In order to determine g(h(-4)), first we need to determine h(-4), so

substituting t = -4 in h(t) = t + 4

h(t) = t + 4

h(-4) = -4 + 4

h(-4) = 0

so we can write

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]

now, to determine g(0), substitute t = 0 in g(t) = t² - 2v

g(t) = t² - 2

g(0) = (0)² - 2

g(0) = 0 - 2

g(0) = -2

so, finally we get

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]

Therefore,

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.


Related Questions

James is putting a brick border around his circular pool. The bricks are 1 foot in length. How many bricks does James need to buy to build the border? Use 3.14 for π.

Answers

The number of bricks needed to border the circular pool is 6.28r.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, Mr. Cortez is putting a brick border around his circular pool.

So, he is boarding the circumference of the circular pool which has a distance of 2πr.

Now, the bricks are 1 foot in length.

Therefore, the number of bricks needed is,

= 2πr/1

= 2πr

= 6.28r

Therefore, the number of bricks James need to buy to build the border is 6.28r.

Learn more about circles here:

brainly.com/question/29142813

#SPJ4

I would really appreciate it if someone could help and explain too, please

Answers

Answer:

A. $101/month

Step-by-step explanation:

From January to February, it changes by 195

From February to March, it changes by -72

From March to April, it changes by 180.

Now, you just find the average of these three numbers.

195 - 72 + 180 = 303

303 / 3 = 101

This means that the answer is A. $101/month

Pleasee helpp with this
!:))

Answers

Answer:

[tex]x=42[/tex]

Step-by-step explanation:

Use this to remember the trigonometry ratios:

SOH-CAH-TOA

Because:

Sine=Opposite/Hypotenuse → SOH

Cosine=Adjacent/Hypotenuse → CAH

Tangent=Opposite/Adjacent → TOA

Use the inverse of the tangent ratio since you need to find the angle measure.

:D Tehe

Answer:

x approximately equals 42.0

Step-by-step explanation:

give other person brainliesttt

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?

Answers

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

please help , i dont understand this at all

Answers

It’s cccccccccccccccccccccc

. The sum of two consecative integers is three times of their difference. what is the
smoller number
3
2
4
1​

Answers

Answer:

The smallest number is 1

Step-by-step explanation:

1+2=3

2-1=1

1•3=3

Hand me over the answers of B and C or perish

Answers

B.the rate of change represents that how much the ticket costs costs per tickets

C.the y intercept represents how much money it costs per 1 ticket

Hope this helps

Have a great day/night

marking Brainlist 7-9g+3g

Answers

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

The sum of two consecutive integers is 471.

what is the equation

Answers

Answer:

x+(x+1)=471

Step-by-step explanation:

21
Select the correct answer.
Which will help you when you file a claim for home insurance?
A.
home loan
B.
home budget
C.
home inventory
Reset
Next

Answers

Answer:

Home inventory lol

Step-by-step explanation:

The doctor advised Peter to take the medicine after every 80 minutes. How many times did Peter take the medicine
in a day?

Answers

Answer:

did u have any options in that..so I can tell u

Answer:

18 times in a day

Step-by-step explanation:

1 day - 24 hours

1 hours - 60 minutes

24 hours - 24 × 60

= 1440

1 day - 1440 minutes

therefore, 1440/ 80 = 18

A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the

Answers

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

The diagram shows a trapezoid prism.
The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the prism.​

Answers

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]

[tex]330=55\times x[/tex]

[tex]\dfrac{330}{55}=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the prism is 6 cm.

y=6x + 100

help i don’t know this
what is the rate of change for this equation

Answers

Answer:6

Explanation: the slope (6) is the same thing as rate of change

Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?

Answers

Answer: 8 weeks

Step-by-step explanation:

He originally had $315 in his account. This figure increased to $955. It therefore increased by:

= 955 - 315

= $640

If he deposited $80 every week, the number of weeks it would take to deposit $640 is:

= 640/80

= 8 weeks

You must find all intervals where f (x) is positive. F(x)=-3x^2-6x+24

Answers

Answer:

he positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative

Step-by-step explanation:

There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?

Answers

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 =      120

Yellow = 4*40 = 160

Blue = 6 * 40  = 240

Total =               520

Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4

Answers

Step-by-step answer:

0.5(x+0.8)=1.4

0.5x+0.4=1.4

0.5x+0.4-0.4=1.4-0.4

0.5x=1

0.5x/0.5=1/0.5

x=2

Plzzzzz give me Brainliest!!!!!  

what is the total surface area,in square feet, of the net shown below ​

Answers

Answer:

There is no net....can you add a picture of it please? Thank you.

Step-by-step explanation:

Answer:408 square feet

Solve the system by making a table of values. Show your work in the scratch
pad
2x +y = 6
y=x+3

Answers

Answer : C



Explanation :

ABCD is a parallelogram. Find the value of x, y, w, and z.

Answers

Answer:

Summary:

The value of x = -14The value of y = 18The value of w = 14The value of z = 14

Step-by-step explanation:

Given

The parallelogram ABCDAD = x-28BC = 3xAB = 12CD = 2/3y

We know opposite sides of a parallelogram are equal.

Therefore,

AD = BC AB = CD

now subtitute AD = x-28 and BC = 3x in AD = BC

AD = BC

x-28 = 3x

switch sides

3x = x-28

subracting x from both sides

3x-x = x-28+x

2x = -28

divide both sides by 2

2x/2 = -28/2

x = -14

Therefore,

The value of x = -14

Now subtitute AB = 12 and CD = 2/3y in AB = CD

AB = CD

12 = 2/3y

switching sides

2/3y = 12

y = 3/2 × 12

y = 18

Therefore,

The value of y = 18

We also know that the opposite angles of a parallelogram are equal.

Therefore,

5w = 70°

divide both sides by 5

5w/5 = 70°/5

w = 14

Therefore,

The value of w = 14

We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.

Here,

m∠B = 70°.

m∠A = (3w+2z)°

As m∠B is adjacent to m∠A.

so

m∠A + m∠B = 180°

so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation

70° + (3w+2z)° =  180°

now substituting w = 14 in the equation

70° +  (3(14) + 2z)° = 180°

70° + (42+2z)° =  180°

70° + 42 + 2z = 180°

112 + 2z = 180°

2z = 180° - 112

2z = 68

divide both sides by 2

2z/z = 68/2

z = 34

Therefore,

The value of z = 14

Summary:

The value of x = -14The value of y = 18The value of w = 14The value of z = 14

A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.

First 3 people get a brainly

Answers

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?

Answers

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.

Answers

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

So if Josh works 40 hours a week, and gets 10 dollars per hour... 40 x 10= 400

Josh earns a total of $400 dollars a week!

A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again

Answers

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a + 40b

Step-by-step explanation:

hope this helps!

Answer: 56a + 40b

Step-by-step explanation:

43a - 12b + 13a + 52b

Bring like terms together

43a + 13a - 12b + 52b

Combine like terms

56a + 40b

Hope that helped!

Mike plans to train for a race by running 8 miles each day for 15 days. He will run at an average speed of 6 miles per hour. At that rate, what is the total number of hours Mike will spend running?

Answers

20 hours because he runs 80 minutes per day

pls i need help what is 1 plus 1?

Answers

1+1 = 84, explanation is quite simple. i should get brainliiest

Billy likes to go cycling. His bike has wheels of the diameter 70 cm. He has a counter on his bike which counts the number of revolutions of the wheels make. One day the counter shows 190 revolutions. How far has Billy cycled? Give your answer to the nearest meter.

Answers

Answer:

401 meters    

Step-by-step explanation:

To change the units without changing the value, we use the Multiplicative Identity (that is, 1).

 

The formula for the circumference of a circle is:    C=Πd

The problem gives d=85 cm, so C=85Π cm.    So, (1 revolution)=(85Π cm)  

            or 1= (85Π cm) / (1 revolution)

 

Billy traveled:

    150 revolutions

    (150 revolutions)*1

    (150 revolutions) * ( (85Π cm) / (1 revolution) )      [note: revolutions cancel, leaving only cm]

    (150)*(85Π) cm

    40055.27 cm * ( (1 meter)/(100 cm) )

    401 meters        (rounded to nearest meter)

(this isnt my work credits to David W.

By leading figure estimation, approximate the value of 5 850÷22

Answers

265.9090909090909 is the answer
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