Carter has $105 to buy a cake and pizza for his cousin's birthday party. He knows he needs to set aside $25 for the cake, and the rest of the money he can spend on pizzas. Each pizza costs $9.25. How many pizzas can Carter afford to buy? Use the inequality 9.25x + 25 ≤ 105

8

Step-by-step explanation:

Here, we want to use the inequality to know the number of pizza that can be bought

We simply proceed to solve the inequality recently and we have the following;

9.25x + 25 ≤ 105

9.25x ≤ 105-25

9.25x ≤ 80

x ≤ 80/9

x ≤ 8.65

Since we cannot have fractional pizzas, what he can afford is rather written as 8

- 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

it is probably the graph on the bottom right.