Please help!!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer 1

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

g(x)=2x-5h(x)=x²-2

To determine

g(h(-8)) = ?

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

g(h(-8)) = 119

Related Questions

Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year

Answers

Answer:

3 toothpaste

Step-by-step explanation:

Tube of toothpaste : year

1/2 : 1/3

how much toothpaste would he use in one year

Tube of toothpaste : year

x : 1

Seductions

1/2 : 1/3 = x : 1

1/2 ÷ 1/3 = x / 1

1/2 × 3/1 = x/2

3/2 = x/2

x = 3/2 ÷ 1/2

= 3/2 × 2/1

= 6/2

x = 3 toothpaste

Answer:

its 1  1/2

Step-by-step explanation:

Find Warren's rate in tubes of toothpaste per year. Divide  

1

2

of a tube of toothpaste by  

1

3

of a year.

To divide by  

1

3

, multiply by its reciprocal, 3.

1

2

÷

1

3

=  

1

2

3

=  

13

2

Simplify.

13

2

=  

3

2

= 1

1

2

Warren used the toothpaste at a rate of 1

1

2

tubes per year. So, he would use 1

1

2

tubes in 1 year.

One pipe can fill a tank in four hours; another pipe can fill the same tank in three hours. How long would it take to fill the tank if both pipes filled it at the same time? [?] hours Enter the number that belongs in the green box. Enter​

Answers

9514 1404 393

Answer:

  [tex]\dfrac{12}{7}[/tex]

Step-by-step explanation:

The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...

  [tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]

This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.

It will take 12/7 hours to fill the tank.

_____

Comment on the answer

It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)

On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?

Answers

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

What is the Area of a Rectangle?

Area of rectangle = length × width.

What is Distance Formula?

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

https://brainly.com/question/25292087

express the following ratio in their simplest form 45cent: $2.25​

Answers

Answer:

$1.80

Step-by-step explanation:

i had this question

ILL GIVE BRAINIEST PLZ HELP the volume of a golf ball is approximately 4.in3 what is the diameter round you answer to the nearest whole number

Answers

Answer:

13.50200 or 13

Step-by-step explanation:

you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct



Write a story that could represent this math problem.

Answers

Answer:

the answer is 1 and 1 fourth

Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?

Answers

There are 9 other CD's of a different genre.

The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.​

Answers

Answer:

The answer is t=4 s

Step-by-step explanation:

Answer: T=4s

Step-by-step explanation: it is option 2

pls help I literally don’t get this

Answers

I put in all doc!!! Lmk if u have questions

x2 - 2x + 4 = 0
How many solutions

Answers

Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?

Answers

Answer:

1,500

Step-by-step explanation:

find the value of xin the triangle shown below

Answers

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

At a gas station, all chips are marked down 10%. A customer brings a bag of chips with a regular price of $2.19 to the register. After the 7% sales tax on the final price, how much does the customer pay for the bag of chips ?

Answers

Answer: $2.11

Step-by-step explanation:

A customer brings a bag of chips with a regular price of $2.19 to the register which is marked down 10% the price to pay will be:

= $2.19 - (10% × $2.19)

= $2.19 - $0.219

= $1.971

After a 7% sales tax on the final price, the amount paid by the customer will be:

= $1.971 + (7% × $1.971)

= $1.971 + $0.13797

= $2.11

What is 11/12 of a minute?

Answers

11/12 of a minute is 55 seconds

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

HELP ASAP
6+ x - y + 10=

Answers

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582


Plzzz

Answers

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

please help me with this thankyou ​

Answers

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices

Answers

Answer:

[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

[tex]y=ab^x[/tex]

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Order the following numbers from least to greatest.
Put the least value on the left.

Answers

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

Answer: -5/2, -2, 1.7


Explanation

5p+2=-43

I need help so bad please help

Answers

p = -9.

apologies if this is wrong.

Use the proportion. What is 72% of 150

Answers

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

solve the system using elimination -2x + y = 11 2x + 3y= 17

Answers

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7

Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?

Answers

Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

I need help with solving for y

Answers

I believe it would be y=5-5x/3

Answer:

y = [tex]-\frac{5}{3}[/tex] x + 5

Step-by-step explanation:

Solve an equation for a variable mean to leave that variable on one side of that equation by itself.

5x + 3y = 15

5x + 3y - 5x = 15 - 5x

3y = - 5x + 15

[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]

y = [tex]-\frac{5}{3}[/tex] x + 5

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices

0.2

0.4

0.35

0.45

Answers

Each section of the tree diagram (in this case the branches that say vanilla chocolate and strawberry) must add up to 1

so to answer you should do 0.45+0.35= 0.8
then 1-0.8 =0.2

so Z is 0.2

The value of z = 0.2

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Sum of probabilities:

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

z = 0.2

Therefore, the correct answer is option (A)

Learn more about probability here:
brainly.com/question/12478394

#SPJ2

Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.

Answers

Answer:

256x +2.500=17860

Step-by-step explanation:

So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.


Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).

Answers

the answer is y=-1/2x + 5/8

A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.

Answers

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

draw a graph that models the relationship between time and Runners distance from the starting position use the data in the table to create the graph of the relationship be sure to include appropriate axis labels, intervals and units.​

Answers

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol

When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80

Answers

It would be D. 70.80
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