7 more than the quotient of a number is 2 and 9

Given:

Consider the given statement is "7 more than the quotient of a number and 9 is 2".

To find:

The value of the unknown number.

Solution:

Let be the unknown number.

Quotient of a number and 9:

7 more than than the quotient of a number and 9:

It is given that, 7 more than the quotient of a number and 9 is 2.

Multiply both sides by 9.

Therefore, the unknown number is -45.

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.

it would open into a square depending on the type of envelope i’m not sure about the second part