The table shows the shipping charges that apply to orders placed in a catalog.
shipping to or within the united states

value of order
shipping, packing, and handling charge
$0.00 - 25.00 | $3.50
$25.01 - 75.00 | $5.95
$75.01 - 125.00 | $7.95
$125.01 and up | $9.95

what type of function is described?

A step function

Step-by-step explanation:

In a step function, the y-value remains constant for several values of x.  The y-value then "steps" up for the next category with the next several values of x.

In this function, the y-value will be 3.5 for the x-values from 0 to 25.

The function then "steps" up to a y-value of 5.95 for the x values from 25.01 to 75.

The next "step" goes to a y-value of 7.95 for x-values from 75.01 to 125.

The last "step" goes to a y-value of 9.95 for x-values of 125.01 and up.

you can't solve x because it is 2 linear equation and you only have one equation

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