Answer:
y = x³ + 2x² - 13x + 10
Step-by-step explanation:
Given
y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)
= (x + 5)(x² - 2x - x + 2)
= (x + 5)(x² - 3x + 2)
Multiply each term in the second factor by each term in the first factor
= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis
= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms
y = x³ + 2x² - 13x + 10
Answer:
Step-by-step explanation:
altitude = sqrt(6*8) = 4*sqrt(3)
Use the Pythagorean Theorem to derive x
altitude^2 + 18^2 = x^2
48 + 18^2 = x^2
x^2 = 342
x = 3*sqrt(38)
x = 18.49
9514 1404 393
Answer:
The pool is being filled
Step-by-step explanation:
The function definition tells you ...
f(5) = the volume of water in the pool 5 minutes after they start
f(10) = the volume of water in the pool 10 minutes after they start
So, the inequality ...
f(5) < f(10)
means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, <em>they are filling the pool</em>.
Answer:
9/4
Step-by-step explanation:
y2 - y1 / x2 - x1 = 6 - (-3) / 2 - (-2) = 9/4
