You purchase a car from a dealership for $15,000. the trade-in value of the car x years after the purchase is given by the function f(x) = 15,000 - 300x^2.
a. what type of function could be used to model the data?
b. after how many years will the trade-in value be $0
c. in this situation, what is the domain and range?

a. Quadratic function is used to model the data

b. Trade in value will be 0 after sqrt(50) years or slightly more than 7 years

c. Domain: [0 , ∞] , Range: [-∞,15000]

Step-by-step explanation:

The purchase price of the car is $15,000.

a. Trade value of the car x years after the purchase is represented by f(x) = 15000 - 300x^2.

This is a quadratic function which is used to represent the data.

b. Trade value will be 0 when 15000 - 300x^2 = 0

=> 300 x^2 = 15000

=> x^2 = 50

=> x=  square root of 50 or

c. Domain of x corresponds to all valid values of number of years post purchase, that is [0,∞]

Range of the function varies from [-∞ to 15000]

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it