Terrence buys a new car for $20,000. the value of the car depreciates by 15% each year. if f(x) represents the value of the car after x years, which function represents the car’s value? f(x) = 20,000(0.85)x f(x) = 20,000(0.15)x f(x) = 20,000(1.15)x f(x) = 20,000(1.85)x

Answer

The function represents the car’s value after x years.

f(x) = 20,000(0.85)x

Reason

As given

Terrence buys a new car for $20,000.

The value of the car depreciates by 15% each year.

15 % is written in the decimal form

= 0.15

Thus

The decrease in the value of car is represented by = a (1 - r)× t

Where a is the original cost

r is the depreciates rate in decimal form

t is time in years.

Here a = $20000 ,r = 0.15 , t = x years

The value of car after x years = 20,000 (1 -0.15)x

                                                 = 20000(0.85)x

Therefore the the value of the car after x years is represented by  f(x) = 20,000(0.85)x .

wheres graph

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