Question

Use the tables to answer the question.

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

0 0
1 4
2 6
3 6
4 4
5 0
This table shows the values of -x + 5 for different values of x.
x −x+5

−1
6
k 4
3 2
5 0
7 −2

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

1
1

0
0

−6

negative 6

4
4

Answer 1

k = 1

Reason: The table shows -k + 5 = 4, so -k + 5 = 4 → k = 1. Checking the first table, -1^2 + 5(1) = 4, so x = 1 solves the equation.