All categories

4 years ago

What is the domain and range of the step function with the equation below f(x)=-3 x

1 answer:

3 0

The function f(x)=-3x follows a linear form y=ax+b, where a is the slope and b is the y-intercept. From our function:
f(x)=-3x
f(x)=-3x+0
slope, a=-3 and y-intercept is 0. This implies that the function is a linear function, thus the domain and range will be:
domain:
(-∞,∞)

Range:
(-∞,∞)

You might be interested in

HURRYYY!!! 20 POINTS AND BRAINLIEST IF CORRECT.

Gennadij [26K]

Its A i did the test

7 0

3 years ago

Find the prime factor of 2205

deff fn [24]

Hello there

the answer is 3 x 3 x 5 x 7 x 7 = 2,205

it can also be written in exponential form

hope it help

5 0

3 years ago

Read 2 more answers

Which solid has the net shown?

Harrizon [31]

Answer:

c might be the answer ....?...........

6 0

3 years ago

Read 2 more answers

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0

4 years ago

A 41 41-foot ladder is leaning against a building. The base of the ladder is 9 9 feet from the side of the building. How high do

lyudmila [28]

Answer:

The ladder would reach 40ft

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height that the ladder would reach along the side of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the height that the ladder would reach along the side of the building h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

41² = 9² + h²

1681 = 81 + h²

h² = 1681 - 81 = 1600

h = √1600

h = 40 ft

6 0

3 years ago