This table shows the input and output values for a linear function f(x). What is the difference of outputs for any two inputs that are one value apart?

−30

−25

1

20

-25

Step-by-step explanation:

The following are x-values (inputs) and their y-values (outputs) that are one value apart:

(Input, output)

✅(-2, 20) and (-1, -5)

Difference between their outputs = -5 - 20 = -25

✅(-1, -5) and (0, -30)

Difference between their outputs = -30 -(-5) = -25

✅(0, -30) and (1, -55)

Difference between their outputs = -55 -(-30) = -25

✅(1, -55) and (2, -80)

Difference between their outputs = -80 -(-55) = -25

As we can see the difference of outputs for any two inputs that are one value apart = -25

-25

Step-by-step explanation:

a

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).