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mamaluj [8]
3 years ago
8

If f(x) = 5x − 3, which expression represents its inverse function?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

f ^{-1}(x)=\frac{x+3}{5}

Step-by-step explanation:

To find the inverse of a function f (x) follow the steps below:

1) Make y = f (x)

y= 5x - 3

2) Solve for the variable x

y+3= 5x - 3+3

y+3= 5x

x=\frac{y+3}{5}

3) Exchange the variable x with the variable y

y=\frac{x+3}{5}

4) Make y = f ^{-1}(x)

f ^{-1}(x)=\frac{x+3}{5}

Finally, the inverse of the function f (x) is: f ^{-1}(x)=\frac{x+3}{5}

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Yuliya22 [10]

there should be at least 100 adults and 50 students because if there are 100 hundred adults- that means there would be 1 student per 2 adults giving you 100 adults and 50 student equaling a total of 150 seats which is the max seats the theater can hold and that would raise


$2.00 x 100 = $200.00

$1.00 x 50 = $50.00

$200.00 + $50.00 = $250.00

$250.00 is the max amount of money the program can make and to make that $250.00--- 100 adults and 50 students would have to attend

4 0
3 years ago
Can you please explain how 7.86×4.6=36.156
Mashcka [7]
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7 0
3 years ago
PLEASE ANSWER FOR BRAINLIEST AND EXPLAIN :)
irina1246 [14]
8/ 8/3=3 so the scale factor is 3
Scale Factor=3
6 0
3 years ago
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Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for s
EleoNora [17]

After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}

We have a line of best fit:

y = 2.5 + 1.25x

Plug x = 7 weeks

y = 2.5 + 1.25(7)

y = 11.25 units

Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

Learn more about the line of best fit here:

brainly.com/question/14279419

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3 0
2 years ago
A ramp is 10 feet in length. The ramp is lifted 4 feet off the ground to the truck door. What is the distance across the ground
ira [324]

Answer:

The distance is 9.17 feet.

Step-by-step explanation:

The ramp, vertical distance it is lifted, and the ground form a right triangle, whose hypotenuse the ramp, and whose base and perpendicular are the ground and the lifted distance respectively.

Thus we have a triangle whose hypotenuse  is 10 feet, the perpendicular  is 4 feet, and a base  feet.

The Pythagorean theorem gives:

H^2=P^2+B^2

We substitute the values H=10, P =4 and solve for B:

B=\sqrt{H^2-P^2} =\sqrt{10^2-4^2} =9.17.

Thus the distance is 9.17 feet.

Hope this helps

8 0
3 years ago
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