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nikitadnepr [17]
3 years ago
6

The range of the function

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

Range: {-4, 3, 5}

Step-by-step explanation:

The range of a function includes all the set of possible output, or y-values in a given data set of a function.

Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.

This can be written as:

Range: {-4, 3, 5}

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Exercise: Evaluate the expressions for a = 2 and b = 6<br> (a + b)2
Vesnalui [34]

Answer:

16

Step-by-step explanation:

Simply plug in 2 for a, then 6 for b and substitute

(2+6)2

Then do order of operations to simplify PEMDAS

First what's inside the parenthesis

(8)2

Then multiply

16.

8 0
3 years ago
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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

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3 years ago
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omeli [17]

Answer:

gmkyhmfnggnjggfbvmhfjxxjyyjyjhchhfxg

Step-by-step explanation:

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3 years ago
Solve for y: 8 = x-y
AnnyKZ [126]

Answer:

The correct answer is:

y= x-8

Step-by-step explanation:

We have the equation: 8 = x-y

By clearing the equation for y (subtracting x both sides of equation) we have:

8 - x = -y (1)

Multiplying (1) by -1

-8+x = y (2)

Re-arranging (2), finally we have:

y= x-8

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3 years ago
PLEASEE HELPP !! WILL HELP W SS OR HISTORY IF ANSWER
12345 [234]

Answer:

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x - 2p +4x - p

Combine the like variables.

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2 years ago
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