Mathematics High School

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

LONG ANSWER TYPE QUESTIONS
11. Sara borrowed 60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?​

Answers

Do 15 percent divided by 60k multiplied by 4

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.

Answers

Okay the region was removed so the area of the shaded region is 99

Answer:

2772

Step-by-step explanation:

b) (8x3 + 27) = (2x + 3)​

Answers

Answer:

x=-3/2

Step-by-step explanation:

this is under the assumption that 8x3 is an exponent

Answer:

x=3/2

Step-by-step explanation:

Someone plz help me plz

Answers

Answer:

3(24+56)

Step-by-step explanation:

3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3

3(24+56)

Answer:

3(24 +56)

Step-by-step explanation:

sum of 24 and 56 means addition

3 times the sum means multiplication

the format you'd use in math would be 3(24 +56)

Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?​

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

24m

Step-by-step explanation:

you can use khan academy to help you out on this kind of stuff

express the ratio in it simplest form 65g:2kg​

Answers

2kg is equal to 2000g so the ratio is 65g:2000g and when simplified it will equal 13g:400g

hope this helps!!

please help, choose the correct equation

Answers

Equations 4 and 5
Hope this helps

Could someone please help me with this?

Answers

Answer:

Both are 38°

Step-by-step explanation:

Is in attachment...

find the area of a triangle with a base of 18 feet qnd a height of 7 feet

Answers

Answer:

63

Step-by-step explanation:

A= HxB÷2

7x18÷2=63

(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___

Answers

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

nth term for 4, 11, 22, 37​

Answers

what does nth mean i dont see


Select the lines that represent functions.

Answers

Answer:

All of them except the squiggly one and the vertical one

Step-by-step explanation:

The rest are functions, two of them are lines, and the curved swoop is a parabola, which is also a function

Explanation

Function is a set of relation without same or repetitive domain. Because we are checking if the following graphs are function or not. It is easier to do line test.

How to check if the graphs are function.

Draw a vertical line.If the line passes or intercepts the graph only one point. The graph is function.If the line passes or intercepts the graph more than a point. The graph is not a function.

Overall, the graphs that are not function are the vertical line and the vertical curve graph.

AnswerA horizontal lineA line with slope or steepnessParabola aka curve graph (The graph is not a line. The question asks for lines which represent functions. I am not sure if they want all graphs that are function or just lines that are functions. A Parabola graph is also a function but not a line graph.)

Feel free to ask if you are confused.

At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​

Answers

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

Help pls yall i will give points

Answers

Answer:

im gonna tell you its none promise

Find the slope of the line that contains the points (3, -4) and (-1, 5)

Answers

Answer:

m = -9/4

Step-by-step explanation:

Hope this helps!

Match each graph with its slope.

Answers

Answer:

(Method: rise/run)

1. 1/3

2. 3

3. 1

4. 2

help pretty pleasee

Answers

Answer:

so you just put both equations together and do the equation like so hers an example

explanation: (7x-22)-(4x+5)= but if your looking for X

x=9

I need help for this it’s hard

Answers

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to get the scale factor

we can use the coordinates of the vertices of the small image and the vertices of the large image to get this

We have;

(2,5) going on to give (6,15)

As we can see, the vertices of the small shape are multiplied by 3 to give that of the big shape

So also we can see for the other vertices

This means that the scales factor is 1 to 3

Solve the following equation. You must show or write down your steps to find the answer -3x - 5 = 16 * ​

Answers

Answer:

x=24

Step-by-step explanation:

You have to isolate the variable so you add 5 to both sides, then add 3 to both sides. Then you have x=24

how much is 17% out of 100%

Answers

Answer:

17/100

Step-by-step explanation:

Answer:

the expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.

Step-by-step explanation:

Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?

Answers

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = [tex]5000((1+0.04)^3-1)[/tex]

[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]

For William, r= 6%= 0.06

Compound interest = [tex]5000((1+0.06)^3-1)[/tex]

[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.

Which is the radian measure of central angle KOL? StartFraction 3 pi Over 8 EndFraction radians StartFraction 3 pi Over 4 EndFraction radians StartFraction 7 pi Over 8 EndFraction radians StartFraction 13 pi Over 5 EndFraction radians

Answers

The above question is incomplete.

Complete Question

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?

a) StartFraction 3 pi Over 8 EndFraction radians

b) StartFraction 3 pi Over 4 EndFraction radians

c) StartFraction 7 pi Over 8 EndFraction radians

d) StartFraction 13 pi Over 5 EndFraction radians

Answer:

b) StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.

Note that:

π radians = 180°

Therefore,

180° = π radians

135° = x

Cross Multiply

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.

Answer: B

Step-by-step explanation:

Solve the inequality 24 + 4x ≥ 100

Answers

Answer:

x ≥ 19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

24 + 4x ≥ 100

Step 2: Solve for x

Subtract 24 on both sides:                    4x ≥ 76Divide 4 on both sides:                          x ≥ 19

Here we see that any value x greater than or equal to 19 would work as a solution to the inequality.

what is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m

Answers

Step-by-step explanation:

35

(Giving brainliest!!)

Draw a fraction model to solve this equation

3 ÷ 1/8

Here is an image if needed!:

Answers

Answer:

It is 24

Step-by-step explanation:

Use keep change flip, keep the 3 change the division to multiplication, and flip the 1/8 to 8/1 and 3 times 8/1 is 24

What is the joint relative frequency that a person surveyed likes classical
music and pop music? *
5 points
What Types of Music do you Like?
Classical
Yes
No
Total
Pop
Yes
No
82
42
124
15
61
76
Total
97
103
200
0.41
0.97
Ο Ο Ο Ο
0.76
0.82

Answers

Answer:???

Step-by-step explanation:

One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Mark this and return

Answers

Answer:

Bro yours is correct but its just a little to complicated the answer is d

Step-by-step explanation:

Help plz will mark Brainly

Answers

Answer:

114

Step-by-step explanation:

Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?

Answers

I honestly don’t know I’m sorry I’m just Trynna do a mid term exam

Robert gets a loan from his bank.
He agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
He also agrees to pay the loan back over a 10 year period.

How much money in total would he have paid back in 10 years?

Answers

Answer:

£10,200

Step-by-step explanation:

Simple interest = principal × rate × time

Principal = £6000

Rate = 7% = 0.07

Time = 10 years

Simple interest = principal × rate × time

= £6000 × 0.07 × 10

= £4,200

Total = simple interest + principal

= £4,200 + £6,000

= £10,200

He would have to pay back a total of £10,200 in 10 years

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