Tiffany is solving an equation where both sides are quadratic expressions. She sets each quadratic equation equal to y and graph

...z........................

(a) For E based on d, the equation is E = 6500 - 50d (b) After 30 days, the remaining excess will be 5000.

2x + 4

To represent 2x + 4, the following is required:

2 positive x-tiles corresponding to 2x.

4 positive unit tiles for the value of 4.

3x + (-1)

To illustrate 3x + (-1), you will need:

3 positive x-tiles to depict 3x.

1 negative unit tile to signify (-1).

Let x denote the radius of the cylinder. Given that its height is double the radius, the cylinder's height equals 2x. To compute the volume, we apply the appropriate formula. By substituting r = x and h = 2x, we can derive that the volume equals 2πx³ in cubic units. Hence, option b is the correct choice.

Detailed explanation:

According to the equation that defines this order as;

The number of tiles = 12b + 38 where;

b signifies the quantity of bundles ordered.

To find out how many bundles are needed if a customer requires 150 tiles, substitute the number of tiles into the established equation to determine the value of b. This process is outlined below;

By substituting;

150 = 12b + 38

12b = 150 - 38

12b = 112

b = 112/12

b = 9.33

b ≈ 9 bundles

It is important to round this figure up because the quantity of tiles must be whole numbers.