Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
Just divide 36 by 48, and you will get that he made 75% of his free throws.
Answer:
X = > 12 because 15 - 3 = 12 and if X was more than 12 it would be wrong.
Step-by-step explanation:
Answer: 1 4/5 pounds is equal to 28.8 ounces
Step-by-step explanation:
1 pound is equal to 16 ounces.
<h3>
Answer: 220 combinations</h3>
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Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
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You can use the combination formula with n = 12 and r = 3. Doing so will give the following:
As you can see, we get the same result and note how 1320/6 is also present as well.