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Dmitrij [34]
3 years ago
7

A storage bin in the shape of a rectangular prism has a volume of 10x3+9x2+2x.What linear expressions can represent possible dim

ensions of the bin?
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:72

Step-by-step explanation:

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Describe some real-world situations that remind you of the coordinate plane.
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-The latitude and longitude lines on maps of the Earth

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Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up
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70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

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Why 2 is not a solution of x>5
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X has to be bigger than 5 and 2 is lower than 5.

Step-by-step explanation:

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Suppose you saw 300 minutes of commercials this week. How many hours of commercials did you see
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A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materi
blondinia [14]

Answer:

The required function is: P(x)=-3x^2+78x-360

The price for each feeder to maximize profit should be $13.

The maximum weekly profit is $147

Step-by-step explanation:

Consider the provided information.

Part (A)

The materials for each feeder cost $6, and the society sells an average of 30 per week at a price of $10 each.

Let x be the price per feeder.

Profit = Revenue - cost

So the profit per feeder is x-6

If we increase then for every dollar increase, it loses 3 sales per week.

This can be written as:

30-3(x-10)

30-3x+30

-3x+60

Where x-10 represents the increase in price and 3  represents the decrease in sales per week.

Thus the profit will be:

P(x)=(x-6)(-3x+60)

P(x)=-3x^2+78x-360

Hence, the required function is: P(x)=-3x^2+78x-360

Part (B) What price should the society charge for each feeder to maximize profits? What is the maximum weekly profit?

The above function is a downward parabola so the maximum will occur at vertex.

The x coordinate of the vertex of parabola is: x=\frac{-b}{2a}

Substitute a=-3, b=78 and c=-360 in above.

x=\frac{-78}{2(-3)}=13

Hence, the price for each feeder to maximize profit should be $13.

Now substitute the value of x in P(x)=-3x^2+78x-360

P(x)=-3(13)^2+78(13)-360=$147

Hence, the maximum weekly profit is $147

5 0
2 years ago
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