Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
Answer:
AAS method can be used to prove that the two triangles are congruent.
Step-by-step explanation:
According to the question for the two triangles one pair of opposite angles are equal. One another pair of angles are equal for the two and one pair of sides are also equal of the two.
Hence, the two given triangles are congruent by AAS rule.
Hence, AAS method can be used to prove that the two triangles are congruent.
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= ![^{13}C_{6}](https://tex.z-dn.net/?f=%5E%7B13%7DC_%7B6%7D)
= ![\frac{13!}{(6!)(13-6)!}](https://tex.z-dn.net/?f=%5Cfrac%7B13%21%7D%7B%286%21%29%2813-6%29%21%7D)
= ![\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Ctimes%2012%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes%207%21%7D%7B6%21%5Ctimes%207%21%7D)
= ![\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Ctimes%2012%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%7D%7B6%5Ctimes%205%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%201%7D)
= ![\frac{1235520}{720}](https://tex.z-dn.net/?f=%5Cfrac%7B1235520%7D%7B720%7D)
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
Answer:
lamar served 40
kira served 20
david served
i just spent like 15 minutes trying to figure this out and when i finally got it i was so mad because it was such a simple error i was making
Step-by-step explanation: