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tatuchka [14]
2 years ago
14

The length of a cell phone is 1.2 inches and the width is 2.4 inches. The company making the cell phone wants to make a new vers

ion whose length will be 1.44 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Mathematics
1 answer:
Serhud [2]2 years ago
3 0
Hehe for the thing u need to stop cheating and relying on others
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Step-by-step explanation:

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Charles and his brother are sharing the cost of a video game. The video game costs $30.70. If Charles saved $20 to buy the game
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The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla
Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0
3 years ago
A(2, 3) is reflected over the x-axis , where is the point reflected
Zina [86]

Answer:

Point D

Step-by-step explanation:

Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D.

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