The difference of the square of a number and three times the sum of the number and 7 is more than the product of that number and 15.

select the inequality that can be used to determine the unknown number.

a.
x2 + 3x ≥ 15 + x
b.
x2 - 3x + 21 > 15 + x
c.
x2 - 3x + 7 ≥ 15x
d.
x2 - 3x - 21 > 15x

Step-by-step explanation:

The answer is C

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

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.