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Romashka [77]
2 years ago
9

How many solutions exist for the given equation?

Mathematics
1 answer:
irakobra [83]2 years ago
7 0

Answer:

Its infinite solutions

Step-by-step explanation:

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There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

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What is the simplest radical form of the expression?
Anna35 [415]

Answer:

x^2y^2 3y^2

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3 years ago
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
Consider the line y = 1/4 - 5/4 x<br> Slope of a parallel line<br> Slope of a perpendicular line
gladu [14]

Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other.  So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

7 0
2 years ago
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