Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
- 7x = 195 then divide it by -7 which equals -27.9
Answer: 16
Step-by-step explanation:
The constant of proportionality is a ratio that exist between two directly proportional quantities. From the question, recipe says to use 1.5 cups of flour to make 24 cookies.
y = the number of cookies made
x = the number of cups of flour used
y = kx
k = y/x
k = 24/1.5
k = 16
Therefore, the constant of proportionality which relates the number of cookies made, y, to number of cups of flour used, x is 16.