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Aleonysh [2.5K]
3 years ago
7

Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8,2)

Mathematics
1 answer:
Elis [28]3 years ago
7 0
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
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Answer:

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Step-by-step explanation:

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if there are 2040 seats in a section of a stadium, 20 seats in the first row, and 4 more seats in each row, how many rows are th
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2040 = n/2(20+(n-1)4)

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use common formula (can't write out so just look at answers. sorry)

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3 years ago
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Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c
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Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

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      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

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  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

 

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

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Answer:

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