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laiz [17]
3 years ago
10

What is the value of y so that order pair (-2,y) is a solution the equation 8x + y =32

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
8x + y = 32
8(-2) + y = 32
-16 + y = 32
y = 32 + 16
y = 48
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A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

P=\frac{1}{10}x(300-x)

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

now, we can factor it

(x-70)(x-230)=0

we can solve for x

and we get

x=70,x=230

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70


7 0
4 years ago
HELP QUICK PLEASE <br><br> In parallelogram JKLM, angle J is 35 degrees. Find angle .<br> M
frutty [35]

The angle M of the parallelogram is; ∠ M = 145°

<h3>What are angles in a parallelogram?</h3>

In a parallelogram, there are four angles with angles on the same line summing up to 180°.

Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;

∠J + ∠ M = 180°

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∠ M = 180° - 35°

∠ M = 145°

Read more about angles in a parallelogram at; brainly.com/question/11627202

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(PDF) Formal Laurent series in several variables. Available from: https://www.researchgate.net/publication/259130653_Formal_Laurent_series_in_several_variables [accessed Oct 08 2018].

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