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Y_Kistochka [10]
3 years ago
9

Edward is making a rectangular picture frame. He wants the perimeter of a frame to be no more than 96 inches. He also wants the

length of the frame to be greater than or equal to the square of 4 inches less than its width.
Instructions: Create a system of inequalities tomorrow love you both situation and use it to determine how many of the solutions are viable.
Mathematics
1 answer:
Bess [88]3 years ago
8 0

No more than in terms of math means less than or equal to.

P = 2l + 2w

{96 ≤ 2l + 2w

{L ≥ w - 4

Here we see a system of linear inequality in two variables.

You finish.

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Solve system of equation algebraically <br> y = 2x - 3<br> x + y = 18
natima [27]

Answer:

x = 7

y = 11

Step-by-step explanation:

Given the system;

y = 2x - 3

x + y = 18

1. Approach

The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.

2. Solve one of the equations for a variable

Manipulate the system such that each equation is solved for the same variable,

x + y = 18

Inverse operations,

x + y = 18

-18        -18

x + y - 18 = 0

   -y         -y

x - 18 = -y

3. Use elimination

Now substitute this back into the original system,

y = 2x - 3

-y = x - 18

Add the systems,

y = 2x - 3

-y = x - 18

_________

0 = 3x - 21

Inverse operations,

0 = 3x - 21

+21       +21

21 = 3x

/3    /3

7 = x

4. Find the value of the unknown variable

Backsovle to find the value of (y),

x + y = 18

Substitute,

7 + y = 18

Inverse operations,

7 + y = 18

-7        -7

y = 11

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3 years ago
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Associative property states that when three or more numbers are added, the sum is the same regardless of the grouping.

This means that (4x + 13) + 11 is the same as C. 4x + (13 + 11)

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Answer:

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Step-by-step explanation:

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