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FrozenT [24]
3 years ago
15

Juan is debating whether or not to continue the recent lunch special promotion at his restaurant. The following graph shows the

profit earned, y, from the number of lunch specials ordered per hour, x.
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer:

Step-by-step explanation:

It is given that y represents the profit earned, and x represents the number of lunch specials ordered at Juan's restaurant per hour.

To determine the maximum profit Juan's restaurant will earn from lunch specials, estimate the highest y-value from the graph. From the graph, it can be seen that the maximum y-value is halfway between 110 and 120. So, the maximum profit Juan's restaurant will earn from lunch specials per hour is about $115.

Next, to determine when the restaurant will break even, observe the x-value when y = 0. It can be seen that graph crosses the x-axis in two places, when x = -5 and x = 10. Since x represents the number of lunch specials ordered, the x-value must be positive. So, the restaurant will break even after 10 lunch specials are ordered.

Lastly, to determine the interval on which the restaurant makes a profit, observe from the graph where the values of x and y are positive. So, the interval on which the restaurant makes a profit is (0, 10).

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How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

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2 years ago
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3 years ago
At the city museum, child admission is 6.10 and adult admission is 9.40. On wednesday, 125 tickets were sold for a total sales o
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Elanso [62]

1st number = x

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3rd number = 2x-10

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3 years ago
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schepotkina [342]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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