The lake side marina charges a $35 rental fee for a boat in addition to charging $15 an hour for usage. the total cost y of renting a boat for x hours can be represented by the equation y=15x+35? graph the equation?
interpret the slope and the y-intercept?

Slope is 15 and y-intercept is 35.

Step-by-step explanation:

Given : The lake side marina charges a $35 rental fee for a boat in addition to charging $15 an hour for usage.

The total cost y of renting a boat for x hours can be represented by the equation

To find : Graph the equation and interpret the slope and the y-intercept?

Solution :

The general slope form is

where, m is the slope and c is the y-intercept.

On comparing the equation

The slope is m=15.

The y-intercept is c=35.

Now we plot the equation in graphing tool.

The equation is in green line passing thorough (35,0) and (-2.333,0).

Refer the attached figure below.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form