The product of two consecutive odd integers is equal to 30 more than the first. What are the integers?

5 and 7

Step-by-step explanation:

(n)(n+2) = 30 + n

n^2 + 2n = 30 + n

n^2 + n = 30

n^2 + n - 30 = 0

(n+6)(n-5)

n = -6

n = 5

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

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.