A)
The vertex can be determined using the completing square method.
f(x) = -(x² - 44x + 384)
= -(x² - 44x + 384 + 22² - 22²)
= -(x - 22)² - 384 + 22²
= -(x - 22)² + 100
The vertex is (22 , 100) and this means that the maximum profit(due to negative sign of coefficient of x) is $100 and is achieved when 22 combos are sold
B) 0 = -(x - 22)² + 100
x - 22 = 10
x = 32
x - 22 = -10
x = 12
This means the shop gains no profit when it sells 32 or 12 combos, and this can be due to the production cost being equal to the money gained via sales.
Answer:
XVW and WVT
Step-by-step explanation:
Two angles are supplementary angles when the sum of their measures is equaled to 180 degrees.
180 degrees = a line.
YVZ and WVU are Vertical Angles
YVZ and ZVT are not straight lines together.
XVW and WVU are on the same straight line but you have to add UVT in order to get 180.
XVW and WVT are the only ones that look like they can add up to 180 degrees.
XVW and WVT should be the answer, I really hope this helps!
Answer:
first, you want to start with the b (-3) graph on the y-axis. after that, since your x is 2 you will start from -3 on the y-axis and go up 2 and to the left once and keep doing that till you run out of space. then go back to the -3 on the y-axis and go down 2 and to the right once
Answer: 17/52
Step-by-step explanation:
There are 52 total cards in a standard deck.
The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.
So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.
You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total
13 + 4 = 17
You do not need to change the denominator cause 52 is the same.
So 17/52 is the probability of Pat picking a diamond or a jack
I hope this helped!
Answer:
I think it’s a
Step-by-step explanation:
