Rohan is at an amusement park. while waiting in line, he reads the statistics on the roller coaster he is about to board. the coaster reaches a maximum speed of 75 miles per hour, and the ride lasts three minutes. identify the domain and range using words and inequalities.

We know that the ride that Rohan wants to take lasts for 3 minutes, and goes up to maximum speed of 75 miles per hour

We have to find the domain and range

Domain: all possible values of the independent variable

Range: all possible values of the dependent variable

In this situation, the independent variable is time and the dependent variable is speed

Hence,

Domain = [0,3] minutes

Range = [0,75] miles per hour

250

step-by-step explanation:

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