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oee [108]
2 years ago
13

A playground has two sides that each measure 70 feet and two sides that each measure 50 foot. Select all the quadrilaterals that

describe the shape
of a playground with these dimensions.
The last one is trapezoid

Mathematics
1 answer:
Vlad1618 [11]2 years ago
3 0

Answer:

Rectangle

Step-by-step explanation:

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In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50 in
AleksandrR [38]

Answer:

a. 65  seats

b. $422.50

Step-by-step explanation:

We have the following two functions:

8 * x, {0 <= x <= 50}

x * (8 - 0.1 * (x - 50)), {x> 50}, solving we have:

-0.1 * x ^ 2 + 13 * x, {x> 50}

Now we derive both functions and we are left with:

8, {0 <= x <= 50}

-0.2 * x + 13 {x> 50}

we cannot equal to 0 the first function that is equal to 0, because it would be inconsistent, therefore we equal the second function to 0:

-0.2 * x + 13 = 0

0.2 * x = - 13

x = -13 / -0.2

x = 65

Now, test for increasing and decreasing on the intervals (0.65) and (65, infinity)

p '(60) = -0.2 * (60) + 13 = 1

since this value is positive the profit is increasing on (0.65)

p '(70) = -0.2 * (70) + 13 = -1

becuase this value is negative the profit is decreasing on (65, infinity)

Therefore 65 seats are needed to maximize profit

The maximum value would be:

P (65) = 0.1 * (65 ^ 2) + 13 * 65 = 422.5

That is, the maximum value is $ 422.50

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3 years ago
Which two ordered pairs would be on the graph for the coordinates listed in the table?
dlinn [17]

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

8 0
3 years ago
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