X³ - 9x² + 5x - 45
x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT
x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.
x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT
Answer:
Step-by-step explanation:
To do this, identify a, b, and c of the quadratic.
a = 1, b = 20, c = |-36|
Find a*c. That's 36. Now find the factors of 36 and the 2 factors that can combine to give you b, which is 20, are the ones we want.
36: 1, 36
2, 18
3, 12
4, 9
6, 6
The ones that combine to give you 20 are 2, 18. Both positive. Therefore,
is how you begin to factor. Factoring by grouping is the way to go.
Factor out what you can from each set of parenthesis:
x(x + 18) + 2(x + 18)
What's common now is what's inside the parenthesis, so that gets factored out:
(x + 18)(x + 2)
That's factored completely!
Answer:
The answer is $40.
Step-by-step explanation:
According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.
Then as x gets increased by 1 each week, the amount of change in the account per week is $40.
I hope this answer helps.
Answer:
V = 115.5 cubic yards
Step-by-step explanation:
V (cone) = 1/3πr²h
just substitute given values to get:
r = 7/2 or 3.5
h = 9
V = π(3.5²)(9)/3
V = 115.5 cubic yards
4 pairs of pants for $18.
Divide price by quantity to get the cost of 1 pair of pants:
18 / 4 = 4.50 per pair.
Divide 27 by 4.50 to find number of pairs:
27 / 4.5 = 6
6 pairs of pants can be cleaned for $27.
