Answer:
-30bc + 50bd
Step-by-step explanation:
3a + 5b/3c - 5d = 3a - 5b/3c - 5d
(3c - 5d)(3a - 5b) = (3a + 5b)(3c - 5d)
9ca - 15bc - 15da + 25db = 9ac - 15ad + 15bc - 25bd
9ca -15bc - 15da + 25db - 9ac + 15ad - 15bc + 25bd
9ca and -9ac and -15da and 15ad cancel each other out, so
-30bc + 50db is left
Answer: Sarah does not have enough money to purchase the TV.
Explanation: The total price is $395.91.
Answer: the commission received by the salesperson is $576.9225
Step-by-step explanation:
Let x represent the auction price
At the dealership, a sales person sold the boat for 30% more than the auction price. It means that the amount for which he sold the boat is
x + (30/100 × x)
= x + 0.3x = 1.3x
If the dealer paid $10,000 for a boat at an auction, it means that
1.3x = 10000
x = 10000/1.3
x = 7692.31
The difference between the auction price and the dealer price is
10000 - 7692.31 =$2307.69
The sales person received a commission of 25% of the difference between the auction price and the dealer price. It means that the commission received by the salesperson is
25/100 × 2307.69 = $576.9225
First, I'm going to separate factor the expression inside of the square root.
sqrt[ (2/18) * (x^5) ]
sqrt[ (1/9) * (x^5) ]
We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.
Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.
ANSWER: (x^2 * sqrt(x)) / 3
(Option 1)
Hope this helps!
