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3 years ago

At which intervals is the function linear or nonlinear?

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

Linear non-linear

x<2 , x>5 2<x<5

Step-by-step explanation:

When a function is linear then the graph is a straight line

When the function is not linear then the graph is like a curve

From x = - infinity to 2 the graph is a straight line

So from - infinity to 2, the function is linear, that is x<2 function is linear

from 2 to 5 the graph is like a curve , so it is not linear

2<x<5 , the function is not linear

From x = 5 to infinity the graph is a straight line

So from 5 to infinity, the function is linear, that is x>5 function is linear

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Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(

Sever21 [200]

E(x) = A(x) - S(x) = 2400x + 40x^2 - (250x + 500) = 2400x + 40x^2 - 250x - 500 = 40x^2 + 2150x - 500

Ashton's expenses for 3 years E(3) = 40(3)^2 + 2150(3) - 500 = 40(9) + 6450 - 500 = 360 + 5950 = $6,310

4 0

3 years ago

Read 2 more answers

Calculate the slope of a line passing through the points (- 2, 4), (- 1, 1) , and (1, - 5)

lawyer [7]

Answer:

The slope of the line is -3

Step-by-step explanation:

Slope formula:

m = y₂ - y₁ / x₂ - x₁

Get any two points:

(-2, 4) and (-1, 1)

Solve:

m = 1 - 4 / -1 - (-2)

m = -3 / -1 + 2

m = -3 / 1

m = -3

Check for the third point just in case.

Two points:

(-1, 1) and (1 , -5)

Solve:

-3 = -5 - 1 / 1 - (-1)

-3 = -6 / 1 + 1

-3 = -6 / 2

-3 = -3

So -3 is the legit slope of the three collinear points.

3 0

3 years ago

Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for

MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans $\frac{1}{2}$ the house in 1 hour

Sasha cleans $\frac{1}{3}$ of the house in 1 hour

let x be the time it takes both to clean the house

$\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{1}{x}$

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = $\frac{6}{5}$

Together they can clean the house in 72 minutes

6 0

3 years ago

Which one is the function and which one isn’t please help im failing rn .

dezoksy [38]

Answer:

Yes

Step-by-step explanation:

This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.

5 0

3 years ago

F(x, y) = 4x + 7y - 6, please find the value of f(5,-5).

ohaa [14]

f(x, y) = 4x + 7y - 6

substitute x=5 and y=-5

f(5,-5) = 4(5) + 7(-5) - 6

f(5,-5) =20-35-6

= -15-6

=-21

4 0

3 years ago