What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer 1

Answer:

The inverse of the function f(x) is h(x) = 4x + 48(D)

Step-by-step explanation:

To find the inverse of a function do these steps

Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)

Let us do these steps to solve the equation

f(x) = [tex]\frac{1}{4}[/tex]x - 12

→ Replace f(x) by y

∴ y = [tex]\frac{1}{4}[/tex]x - 12

→ Switch x and y

x =  [tex]\frac{1}{4}[/tex]y - 12

→ Add 12 to both sides

∵ x + 12 =  [tex]\frac{1}{4}[/tex]y - 12 + 12

∴ x + 12 =  [tex]\frac{1}{4}[/tex]y

→ Multiply each term by 4

∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)

∴ 4x + 48 = y

→ Switch the two sides

y = 4x + 48

→ Replace y by h(x)

∴ h(x) = 4x + 48

The inverse of the function f(x) is h(x) = 4x + 48

Answer 2

Answer:

h(x) = 4x + 48 ⇒ (D)

Step-by-step explanation:

i just did it


Related Questions

Help again PLZZ and thank you

Answers

Answer:

B

Step-by-step explanation:

OK NOW IM SAD :(

Answer:

It is B the y-intercept of them both is 2 and because if you graph it, it will be the same

Step-by-step explanation:

Identify the like terms that can be combined in the following equation: 2 + 86-10 = 15​

Answers

Answer:

THANKS FOR FREE POINTS DIS WHAT U GET FOR NOT ANSWER ME VYUdgwhsvnDHgvahenihfdz yhulsermiv8 huykdbearut5k  b54rhf

Step-by-step explanation:

vnehfbyidgehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrg

The measure of a square side is 1.2 feet what is the perimeter of the square inches

Answers

Answer: It would be 4.8

Step-by-step explanation: Each side of a square is equal, there's 4 sides in a square, so you multiply 1.2 by 4. That should give you the perimeter.

Solve the inequality −3(x−43)≤6

Answers

Answer:

x<41

Step-by-step explanation:

-3(x-43)<6

-3x+129<6

-3x<-123

x<41

-2(x + 3) = -2x + 3 - 9

Answers

Answer:

the answer is in the picture

Have a safe and happy new years

Step-by-step explanation:

Answer:

x = x

Step-by-step explanation:

The first step here is to use the distributive property to make the first equation back into a polynomial.

The way we do this is by multiplying each term on the inside of the parentheses by the -2 on the outside.

-2 x x = -2x

-2 x 3 = -6

So, our new equation reads: -2x - 6

-2x - 6 = -2x + 3 - 9

Our next step is to subtract the 9 from 3.

-2x - 6 = -2x - 6

We add 6 to each side

-2x = -2x

x = x

0 = 0

How do i find the values of of both x and y in a quadrilateral?

Answers

Answer:

n stands for the number of sides, which is 4.

To find the sum of the angles, subtract 2 from the number of sides and multiply by 180.

Add all the angles together and set that equal to 360 to solve for x.

Plug 32 ° in for x to find the measures of the angles.

lemme get some help plz

Answers

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

Thomas will take a total time of 18 hours to complete the entire project.

What is Percentage?

Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.

Thomas has finished 50% of an art project that has taken him a total of 9 hours.

Let W be the work Thomas has to finish.

Quantity of work Thomas finished in 9 hours = 50% of W

                                                                           = (50/100) × W

                                                                           = 0.5W

Remaining work to complete = W - 0.5 W = 0.5W

Again he has to complete 0.5W of total work W which will take an additional 9 hours.

So the total time taken = 9 + 9 = 18 hours.

Hence the total time needed for Thomas to complete the work is 18 hours.

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Find the length of AB
AB=
ft (Round to two decimal places)
c
P
A
8 ft
45°
B

Answers

AB= 45 degrees central angle theorem

easy math if you can answer ill give brainlest

Answers

Answer:

16= 2 (3+b)

16 = 6+2b

10 = 2b

b = 5

Step-by-step explanation:

UB nu un MB a nshauIduxoa

The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
What is the equation in slope-intercept form?

A. y = -2x + 12
B. y= -2x +8
C. y = -2x -7
D. y = -2x -3

Answers

Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.

Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b

Thus,

y = -2x + 8

Answer is B

Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.

Answers

Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

what is the value of tan360°?​

Answers

Answer:

tan360°= 0

I hope this helps you

Answer:

please mark as brainliest

Step-by-step explanation:

tan360°

= cot (90°-360°) = cot -270°

-tan360°

= tan (-360°) = -tan 360°

= cot (90°+360°) = cot 450°

= tan (180°-360°) = tan -180°

Mr Avalon's cousin's Kurt and rod started their own business curtain rods curtain rods they sell curtain rods for $5 each they rent a store in the mall for their business for $2,500 per month how many curtain rods must they sell to earn a profit of$ 3750?​

Answers

Answer:34.3 N and 15.7 N

Explanation:

 = force on the left end of the rod

 = force on the right end of the rod

M = mass of Halloween decoration = 3 kg

 = weight of the Halloween decoration = Mg = 3 x 9.8 = 29.4 N

m = mass of rod = 2.1 kg

 = weight of the rod = mg = 2.1 x 9.8 = 20.6 N

From the force diagram, using equilibrium of torque about A

(AB) +  (AC) =  (AD)

(29.4) (21) + (20.6) (57) =  (114)

 = 15.7 N

Using equilibrium of force along the vertical direction

+  =   +

15.7 +   = 29.4 + 20.6

= 34.3 N

Step-by-step explanation:

Answer:

1,250 curtain rods

Step-by-step explanation:

2500 + 3750 = 6250

6250/5=1,250

1,250 curtain rods

Osvaldo wants to go to school to be a reporter. He takes out a loan for $140,000. The interest rate on this will be 3% for 4 years. What would the interest be that Osvaldo would have to pay?

Answers

9514 1404 393

Answer:

  $16,800

Step-by-step explanation:

The interest is computed using the formula ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years.

Filling in your given information, you have ...

  I = $140,000 × 0.03 × 4 = $16,800

Osvaldo would have to pay $16,800 in interest.

please help. i’ll give brainliest

Answers

Answer:

What amI looking for ?!?! I promise I will help you reply in the comments!!

Step-by-step explanation:

Answer: What is this question mabe I can help please write the question first.

Step-by-step explanation:

PLEASE ANSWER FAST
Answer like
number 1. answer is _________________
number 2. answer is _________________
number 3. answer is _________________
number 4. answer is _________________
number 5. answer is _________________

Answers

Answer:

number 1. answer is 561%

number 2. answer is 1

number 3. answer is 7/80

number 4. answer is 31.25%

number 5. answer is 60%

Step-by-step explanation:

hope this helps!

Answer:

1. 561%

2. 1

3. 7/80

4. 31.25%

5. 6%

Step-by-step explanation:

To start off, lets learn how to convert decimals to percent's.

Converting is actually not too hard. All you need to do is multiply the decimal by 100.

So 5.61 * 100

That would be 561 and then you add a percent sign to the end.

To convert a percent to a decimal is just the opposite of what we just did. Simply divide the percent by 100.

So 100% /100

A number divided by itself is 1

So 100% = 1

To make this problem easier, you can convert the fraction to a decimal.

8 3/4 = 8.75%

Now divide it by 100

8.75/ 100

0.0875

Now just convert it back to a fraction.

0.0875 = 7/80

Convert to a decimal.

5/16 = 0.3125

Multiply by 100

31.25

add percent sign

31.25%

Last one.

Convert to decimal

3/5 = 0.6

Multiply by 100

6%

If you need help on conversions or anything else don't be afraid to reach out! I hope this helps!

Omar's cats claws grow 1/8 in in 1/12 of a year which is the amount of cats claws will grow in one year​

Answers

So 1/8 per month
1/8 * 12 months = 3/2
Reduced is 1 1/2 inches per year

Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.

To find the amount by which Omar's cat's claws will grow in one year, we need to multiply the growth rate per 1/12 of a year by the number of 1/12-year intervals in one year.

Given that Omar's cat's claws grow 1/8 inch in 1/12 of a year, we can find the growth in one year as follows:

Growth in one year = (Growth rate per 1/12 of a year) * (Number of 1/12-year intervals in one year)

Growth in one year = (1/8 inch) * (12 intervals)

Growth in one year = 1/8 inch * 12

Growth in one year = 12/8 inch

Now, we can simplify the fraction:

Growth in one year = 3/2 inch

So, Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.

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Find the slope of the line that passes through the points (2,-4) and (6,12)

Answers

Answer:

m=4

Step-by-step explanation:

At an ice cream shop, the ratio of sugar cones sold to waffle cones sold is 5:4. If there are 45 sugar cones sold, how many waffles cones would be sold?

Answers

Answer:

you would have to find the other value of the ratio.

If you look at the original ratio of 5:4, you can tell that 45 is just 8×5 and therefore you can also multiply 4×8 which would 32.

Step-by-step explanation:

I hope this helps :)

Also like your picture <3

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Answers

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

Answer:

14

Step-by-step explanation:



(m + n)3
for m = 1 and n = 1

Answers

Answer:

3+3 am I right... I think I am

Answer:

(m+n)3 for m =1 and n =1

Simplify this equation:
-4(c+2d)-2(3c-4d)

Answers

-10c
hope this helped !!!

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

simplify
3x+6y+5y-2y

please explain i need help :(

Answers

3x+6y+5y-2y

Combine like terms

3x+9y

Answer=3x+9y

slope=6,(3,7) in standard form

Answers

I don’t understand...

which expression is equivalent to 15+3x?

Answers

Answer:

There are no pictures

Step-by-step explanation:

Show a picture and I will help you.

The Expression Equivalent to 15+ 3x is 3(5+x).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

15 + 3x

1. 3(5+ x)

Using Distributive property

15 + 3x

2. 5(3 +x)

Using Distributive property

15 + 5x

3. 3(5+ 3x)

Using Distributive property

15 + 9x

4. 5(3 + 3x)

Using Distributive property

15 + 15x

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A grocery store sells 2 red peppers for $4.
How many red peppers for $24?

Answers

Answer:

12 red peppers

Step-by-step explanation:

2 peppers for 4 dollars means 1 pepper= 2$. 24/2=12

Quadrilateral VWXY is a kite. Find the measure of angle W.

Answers

Answer:

88

Step-by-step explanation:

all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2

4x^4+8x^2+1-3x Rewrite each polynomial in standard form then identify the leading coefficient degree and number of terms, name the polynomial

Answers

4x^4+8^2+1-3x Rewrite each

please solve asap :) thank youuu

Answers

Step-by-step explanation:

I'm pretty sure it would be 67

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