you are given a fraction in the simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?

Step-by-step explanation:Let - be a fraction in simplest form, b # 0, written

as a repeating decimal when in decimal form.

Since the only numbers which can be factors of the

denominators lead to a terminating decimal are 1, 2

and 5 (including rising to powers) and combinations

of them, it means that if the denominator has at

least one of the other numbers at the denominator,

the decimal form will be a repeating decimal.

Among the numbers from 1 to 10, the presence of

any of these numbers in the denominator will lead

to a repeating decimal:

25% is the answer

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.