The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero

(−2, 0), (0, −16), (3, −25), (8, 0)
(x, x2 − 6x − 16) for all real numbers
(−2, 0), (8, 0)
(x, y) for all real numbers

for all real numbers

Step-by-step explanation:

Assuming, the graph continues indefinitely.

The given function is

To find all solutions to f(x), we equate f(x) to zero.

This implies that:

We factor to obtain:

This gives us;

Hence the graph meets the x-axis at (-2,0) and (8,0).

These are the solutions of f(x), where the graph meets the x-axis.

But the question demands for all solutions.

Therefore for all real numbers is the correct choice

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7