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Anettt [7]
2 years ago
9

The drama club is selling short-sleeved shirts for $5 Let x represent the number of short-sleeved shirts

Mathematics
1 answer:
lara [203]2 years ago
5 0

Answer:

<em>Innacurate Data</em>

Step-by-step explanation:

<u>System of Equations</u>

The situation described is modeled by the following system of equations:

5x + 10y = 1,750         [1]

x + y = 100         [2]

Where

x = number of short-sleeved shirts

y = number of long-sleeved shirts

Divide [1] by 5:

x + 2y = 350       [3]

Multiply [2] by -2:

-2x - 2y = -200

Add with [3]:

-x = 150

x = -150

The value of x should not be negative. This happens because the problem is inaccurately stated. Not even selling 100 of the $10 shirts we can get to $1,750.

If the total shirts sold was 200, then

x + y = 200         [2]

And x = 50, y=150 was an acceptable solution

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Answer:

Step-by-step explanation:

Left

When a square = a linear, always expand the squared expression.

x^2 - 2x + 1 = 3x - 5                Subtract 3x from both sides

x^2 - 2x - 3x + 1 = -5

x^2 - 5x +1 = - 5                      Add 5 to both sides

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So one solution is x = 2 and the other is x = 3

Second from the Left

i = sqrt(-1)

i^2 = - 1

i^4 = (i^2)(i^2)

i^4 = - 1 * -1

i^4 = 1

16(i^4) - 8(i^2) + 4

16(1) - 8(-1) + 4

16 + 8 + 4

28

Second from the Right

This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.

12 = 8a + b

<u>17 = 12a + b         Subtract</u>

-5 = - 4a

a = - 5/-4 = 1.25

12 = 8*1.25 + b

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b = 12 - 10

b = 2

Now they want a + b

a + b = 1.25 + 2 = 3.25

Right

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(2x - 2)^2 = 4x^2 - 8x + 4

4x^2 - 8x + 4 - 2x + 2

4x^2 - 10x + 6    The problem is factoring since neither of the first two equations work.

(2x - 2)(2x - 3)     This is correct.

So the answer is D

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2 years ago
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