Question

Use the tables to answer the question.

This table
shows the
values of -x2 +
5x for different
values of x.

x

0

1

2

0

3

4

4

6

6

4

5

0

This table
shows the
values of -x +
5 for different
values of x.

x

-x+5

-1

k

6

4

3

5

2

0

7

-2

What value of k in the table will be a solution to the equation -x2 +5x =- x + 5? (1 point)

4

0

O-6

O1

Answer 1

Solve -x^2 + 5x = -x + 5:
Move all terms to one side: -x^2 + 6x - 5 = 0 → multiply by -1: x^2 - 6x + 5 = 0
Factor: (x - 1)(x - 5) = 0, so x = 1 or x = 5.

From the table choices, the matching value is 1. So k = 1.