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miss Akunina [59]
3 years ago
12

Please show steps!!!

Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

  there is no price for which weekly revenue would be 1800

Step-by-step explanation:

If there is a solution to the equation ...

  r = 1800 = -4p² +40p +1287

then there is a solution to ...

  4p² -40p +513 = 0

Comparing this to the standard form quadratic equation

  ax^2+bx+c=0

we can match coefficients to see that ...

  • a = 4
  • b = -40
  • c = 513

The discriminant of a quadratic is ...

  d=b^2-4ac\\\\d=(-40)^2-4(4)(513) = 1600-8208 = -6608

When we fill in the numbers and evaluate, we find the discriminant is negative. This tells us that solutions to the equation are complex—there are no real solutions, meaning there is no price that will give $1800 weekly revenue.

_____

A graph shows the highest weekly revenue obtainable at any price is $1387, so there is no price that will give revenue of $1800.

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Nancy purchased some bed sheets for $ 36 they were on sale 25% off.What was the original price of the bed sheets?
mrs_skeptik [129]

Let

x-------> the original price of the bed sheets


we know that

Nancy purchased some bed sheets for $ 36 they were on sale 25% off

so

100%- 25%= 75%

75%=0.75

0.75*x=36\\ x=36/0.75\\ x=48


therefore


the answer is

the original price of the bed sheets was $48

5 0
3 years ago
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A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre
Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length *  Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0
2 years ago
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MariettaO [177]

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What is the midpoint of the line segment with endpoints(-2,-2) and (4,6)
Ann [662]

Answer:

The midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

Step-by-step explanation:

Given points are (-2,-2)\ and\ (4,6). We need to find the midpoint of the line segment.

The formula of finding midpoints between the point (x_1,y_1)\ and\ (x_2,y_2) is

(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)

W have points (x_1,y_1)=(-2,-2). And (x_2,y_2)=(4,6)

Let us plug the value in Equation (1)

(\frac{-2+4}{2} ),(\frac{-2+6}{2})

(\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)

So, the midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

3 0
3 years ago
The formula for the volume of a cylinder is Y = gr). Solve y = grn for h, the height of the cylinder. O A. = O B. has Yr2 OC. h
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Since we have to solve the given formula for h(height) so, the correct option is (a)
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