Lexi received a $45 gift card to download music on her mp3 player. each song costs $1.50. the amount left on the gift card is a function of the number of songs purchased. what is the domain and range?

The domain goes from 0 to 30

The range is from 0 to 45

Step-by-step explanation:

The amount left can be modeled by a first order function in the following format:

In which is her amount left, is her initial amount, n is the number of songs bought and p is the price of each song.

The problem states that Lexi received a $45 gift card. So her initial amount is 45. Each song costs $1.50, so . So, the function for the amount left on the gift card is:

The range are the values that Lexi can have left. So the range is from 0 to 45.

The domain is the number of musics she can buy. So, the smallest value in the domain is 0. The biggest is the value of n for which . So:

The domain goes from 0 to 30

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base