Look at the graph. On a coordinate plane, a line with negative slope goes through points (0, 2) and (4, 0).

To find the rate of change of the function, Kevin did the following:

StartFraction 0 minus (negative 1) Over 2 minus 2.5 EndFraction = StartFraction 1 Over negative 0.5 EndFraction = negative 2.

What was Kevin’s mistake?
He incorrectly chose (–1, 2.5) as a point on the graph.
He incorrectly chose (0, 2) as a point on the graph.
He mixed up the numerator and the denominator of the fraction.
He subtracted –1 from 0 when he should have added –1 to 0.

b

step-by-step explanation:

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.