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morpeh [17]
3 years ago
15

Select the correct difference.

Mathematics
2 answers:
scZoUnD [109]3 years ago
5 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

5d^2+4d-3-(2d^2-3d+4)

We need to find the correct difference.

Collect the like terms together.

5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7

Hence, First option is correct.

Zinaida [17]3 years ago
4 0

Answer:

Option (a) is correct.

5d^2+4d-3-(2d^2-3d+4)=3d^2+7d-7

Step-by-step explanation:

Given: 5d^2+4d-3-(2d^2-3d+4)

We have to solve the given expression and choose the correct difference from the given options.

Consider the given expression 5d^2+4d-3-(2d^2-3d+4)

Apply plus- minus rule, -(-a)=a

We have,

=5d^2+4d-3-2d^2+3d-4

Adding like terms, we have,

LIKE TERMS are terms having same variable with same degree.

=(5-2)d^2+(4+3)d-(3+4)

Simplify, we have,

=3d^2+7d-7

Thus, Option (a) is correct.

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Two fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda
WINSTONCH [101]

Answer:

a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.

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b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?

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first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80

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max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4

maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780

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