Solve the quadratic function by completing the square. What are the missing pieces in the steps?
-32 = 2(x2 + 10x)
-32+ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
= x+5
x=-2 orx=

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

df =

both have same length

false

inverse variation is not exponential

well, because the $0.25 is an added cost depending on how many minutes, the answer would be y = 30 + 0.25x.