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3 years ago

Determine whether the ordered pair is a solution to the linear system.

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

It is not. It works for the first but not for the second.

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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

6 0

3 years ago

9 is added to a number and multiplied by 7. The result is 84.

bearhunter [10]

Answer:

<h2> 12 because 9+3 = 12 12 • 7 = 84</h2>

Step-by-step explanation:

<h2>Hopes this helps. Mark as brainlest plz!</h2>

4 0

3 years ago

Read 2 more answers

Find the slope given: (3, -10) & (4, -21)<br> m =

AleksAgata [21]

Answer:

$\displaystyle m=-11$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, -10)

Point (4, -21)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-21+10}{4-3}$
[Fraction] Add/Subtract: $\displaystyle m=\frac{-11}{1}$
[Fraction] Divide: $\displaystyle m=-11$

3 0

3 years ago

What is the quotient?

AleksandrR [38]

I wanna say the 1st or the last one

3 0

3 years ago

Read 2 more answers

1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.<br> What was the cost per pound?

Mama L [17]

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

5 0

3 years ago

Read 2 more answers