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| The profit "P" from handmade sweaters depends on the price "s" at which each sweater is sold. The function P = -s2+120s-2000 models the monthly profit from sweaters for one custom tailor. What is the number of shirts that would breakeven? |
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Definition
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Factoring
Equation:
~ x2-17x+72 ~ |
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Definition
- Find factors with the product ac and the sum of b.
- x2-8x-9x+72 -Rewrite bx.
- x(x-8)-9(x-8) -Find the common factors.
- (x-9), (x-8) -Rewrite using distributive propery.
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Completing the Square
Equation:
~ m2+2m=15 ~ |
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Definition
- Add a blank and plus sign after the 2m and also after the 15.
m2+2m+ =15+
- Divide the 2 by 2 and square it to get the # you use to fill the blank in with.
(2⁄2)2
m2+2m+1=15+1
- Divide the #'s inside the parathesis to get the # to add with m. Add the equaled #'s also.
(m+1)2=16
√(m+1)2=√16
- m+1=±4
- m+1=4 m+1=-4
- Get both m's by themselves:
m=3 and m= -5
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Solve using quadratic formula
x2+6x+9 |
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Definition
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