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hoa [83]
3 years ago
13

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t i

s the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
1 month
3 months
4 months
0 months
Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

3 months

Step-by-step explanation:

t^3 - 10t^2 + 33t - 36

3t^2 -20t + 33 = 0

(3t-11)(t-3) = 0

 

t = 3 or t=11/3

 

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Please help me with this i dont know wht im doing
Elodia [21]

Answer:

D: The slope is 3

Step-by-step explanation:

To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.

8-2/-1-(-3) = 6/2 = 3

Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"

Either way, your slope is 3.

8 0
3 years ago
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A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each
andrezito [222]

Answer:

The probability that the customer must open 3 or more bottles before finding a prize is 0.64

Step-by-step explanation:

In order for a customer to have to open at least 3 bottles before winning a prize, then the first two bottles shouldnt have a price. The probability that a bottle doesnt have a price is 1-0.2 = 0.8. Since the bottles are independent from each other, then the probability that 2 bottles dont have a prize is 0.8² = 0.64. Therefore, the probability that the customer must open 3 or more bottles before finding a prize is 0.64

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3 years ago
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Hey i need help with system of equations.<br> i uploaded a doxs file you can onpen it in google docs
Art [367]

Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

PART B:

Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

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Hence, x = 4y - 17 = 12 - 17 = -5

3 0
3 years ago
Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x
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