Which function has a lower minimum value?

Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The t

enot [183]

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)= $\frac{2}{5}x-60$

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

$x=\frac{y-150}{2.5}$

$x=\frac{y}{2.5}-\frac{150}{2.5}$

$x=0.4y-60=\frac{2}{5}y-60$

Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)= $\frac{2}{5}x-60$

7 0

3 years ago

HELPPPPPP PLEASE I AM STRUGLING]

atroni [7]

10 is the answer

why are you struggling

so simple

<h2>hope it helps you ❣❣ </h2>

Mark me as brainliest 

6 0

2 years ago

HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading

Bess [88]

<h3>Answers:</h3>

total number of pages = 550 pages

total amount of time to read the full book = 10 hours

======================================================

Work Shown:

1 hour = 55 pages

4 hours = 220 pages ... multiply both sides by 4

After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall

550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.

While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.

6 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-6, -5) and (-3,0)? Put your answer in fully reduced form.

MrMuchimi

Answer:

y = 5/3x +5

Step-by-step explanation:

The two-point form of the equation of a line is useful here.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5

y = 5/3(x +6) -5

y = 5/3x +5 . . . . slope-intercept form

5x -3y = -15 . . . .standard form

_____

There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.

6 0

3 years ago

What is the volume of a cylinder in cubic feet with a height of 8 feet and a base diameter of 18 feet

postnew [5]

Answer:

The volume of a cylinder:

$V \approx 2035.75$ $ft^3$