Plz 40
classify each scenario as a linear or non-linear function.
1. the number of pages a copy machine can print over time, expressed by n=30m.
2. the amount of money an hourly worker makes over time, expressed by a=15h.
3. the temperature outside at noon each day for a year.
4. the height increase of a child over 3 year

1. The number of pages a copy machine can print over time, expressed by n=30m is linear.

2. The amount of money an hourly worker makes over time, expressed by a=15h is linear.

3. The temperature outside at noon each day for a year is non linear.

4. The height increase of a child over 3 year is non linear.

Step-by-step explanation:

1. We are given n = 30m so the number of pages depends on time given by the equation which shows it increases linearly by multiple of 30 hence it is a linear function.

2. We are given a = 15h so amount of money increases linearly by a multiple of 15 with the increase in number of hours so it is a linear function.

3. The temperature varies every day so some noons may be hotter and some noons may be colder depending on time and weather conditions hence the temperature is non linear function.

4. The height increase may vary every year and may not necesarrily be constant , in one year there may be more increase than in other in a span of 3 years hencs it is non linear.

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