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Dominik [7]
4 years ago
10

Solve -(x-2)(x-7) using the FOIL Method. Include steps

Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
6 0
First distribute the negative
(-x+2)(x-7)
Next multiply -x by x
Then multiply 2 by x
Then multiply -x by -7
Then multiply 2 by -7
-x^2+2x+7x-14
-x^2+9x-14 is your answer
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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ
MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger  positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

x+y=60

y=60-x -----> equation A

P=xy ----> equation B

substitute equation A in equation B

P=x(60-x)

P=60x-x^{2}

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For x=30 The largest possible product is 900

and

y=60-x ------> y=60-30=30

therefore

The two positive integers are 30 and 30

5 0
3 years ago
Mr. Tolin purchased a used car for $2,816, which was 12% off the asking price. What was the asking price of the used car?
Nina [5.8K]

Answer:

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Step-by-step explanation:

Giving the following information:

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Discount rate= 12% = 0.12

<u>To calculate the original price, we need to use the following formula:</u>

Original price= purchase price / (1 - discount rate)

Original price= 2,816 / 0.88

Original price= $3,200

8 0
3 years ago
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