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The net profit that Ann makes from selling x pillows is give
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06 Apr 2018, 15:34
06 Apr 2018, 15:34
Expert Reply
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Question Stats:
82% (01:27) correct
17% (01:06) wrong based on 40 sessions
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The net profit that Ann makes from selling x pillows is given by the expression \(x^2 - 2x - 288\).
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of pillows that Ann must sell for her net profit to be zero |
20 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 10
Page: 508-509
Question: 10
Page: 508-509
Re: The net profit that Ann makes from selling x pillows is give
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17 Apr 2018, 02:08
17 Apr 2018, 02:08
1
All that is asked here is solve the given equation \(x^2 - 2x - 288 = 0\)
By simplification, \(X^2 -18x + 16x -288 = 0\)
Hence, \(x(x-18) +16(x - 18) = 0\)
Therefore, \(x = -16,18\)
However the value of x cannot be \(-\)ve since the number of pillows sold cannot be negative
Hence, \(x =18\) < Qty B
By simplification, \(X^2 -18x + 16x -288 = 0\)
Hence, \(x(x-18) +16(x - 18) = 0\)
Therefore, \(x = -16,18\)
However the value of x cannot be \(-\)ve since the number of pillows sold cannot be negative
Hence, \(x =18\) < Qty B
Re: The net profit that Ann makes from selling x pillows is give
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18 Apr 2018, 15:36
18 Apr 2018, 15:36
Expert Reply
Explanation
Set the expression equal to zero and then factor it.
You are looking for factors of 288 that have a difference of 2.
So find the integer factor pairs, starting with 1: 1 and 288; 2 and 144; 3 and 96; 4 and 72; 6 and 48; 8 and 36; 9 and 32; 12 and 24; 16 and 18.
The last pair you found works, so the factored form of your equation is: (x – 18)(x + 16) = 0. The solutions are 18 and –16, but obviously Ann cannot sell a negative number of pillows. The answer is choice (B).
Set the expression equal to zero and then factor it.
You are looking for factors of 288 that have a difference of 2.
So find the integer factor pairs, starting with 1: 1 and 288; 2 and 144; 3 and 96; 4 and 72; 6 and 48; 8 and 36; 9 and 32; 12 and 24; 16 and 18.
The last pair you found works, so the factored form of your equation is: (x – 18)(x + 16) = 0. The solutions are 18 and –16, but obviously Ann cannot sell a negative number of pillows. The answer is choice (B).
