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horsena [70]
3 years ago
6

Those who have taken the Algebra EOC please answer.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

  • Review what the purpose of x in algebra.
  • Then learn things like combining like terms, and solving for x.
  • Since you know the basics of x, you can then review linear equations( imo, a big content of algebra). Stuff like slope, different linear forms, graphs of linear equations, and mostly linear equation word problems
  • Then you can review system of equations. since you know how to manipulate linear equations, etc.

Then move on to other algebra topics dealing with algebra like

  • functions, and different types of them
  • exponents, and radicals rules
  • inequalities.
  • sequences.
  • These aren't the heart of algebra but study them they are useful and it important to know them.

Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

Try to memorize the formulas and know when to apply it.

Good Luck

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Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

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(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

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p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

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B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

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At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

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