Which of the relationships below represents a function with the same rate of change as the function y=x-4?

D

Step-by-step explanation:

The slope for the first one is 1 since x stands alone. You have to find the slope for each, and find the one that matches, so divide the change in y over change in x, or for the graphs find where the points are, find the difference in the y and x values and do change in y over change in x. For A, the slope would be -1, so it wouldn’t work. For B, the slope would be -5/4, so it wouldn’t match. For C, the slope would be -4/2, so it wouldn’t be a match. D the slope would be 1 so it is the only one that matches.

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15