Find the average rate of change of f(x) = 2x-1 from x=0 to x=1

2

Step-by-step explanation:

Av. rate of change = [(f(x2) -f(x1)]/[x2 -x1]

x2=1, x1=0

f(x) = 2x-1

f(x2)= 2*1-1=1

f(x1)=2*0 - 1= -1

Av. rate of change = [(1 - (-1)]/[1-0] = 2

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'.

215.92 dollars is the answer