Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
8 is the greatest common factor
Answer:
18.2 feet^3 of water
Step-by-step explanation:
First let's find 80% of the full capacity, which is 24. To do that, multiply 24 x 0.8, which is 19.2.
Now how much space to the fish take up? There are 8 fish, and each one takes up 1.5 cubic INCHES. 8 x 1.5 = 12 cubic inches, but we need cubic feet. Luckily, there are 12 inches in 1 foot so it'll be a clean and simple 1 foot. The "cubic" part only shows that we're measuring volume.
The 80% capacity - fish capacity = how much water is needed. That will be 19.2 - 1 = 18.2
That's it! Hopefully this helped!
Answer:
reflection over the x-axis and shifted 7 units down
