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Lady bird [3.3K]
3 years ago
15

Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
Hello :
<span>y = -2x² + 8x - 5 = -2(x²-4x-5)
but : </span>x²-4x = (x²-4x +2²)-2²
                 = (x-2)² -4
y = -2 ((x-2)²-9)
y = -2 (x-2)²+18
the vertex is A(2,18)

                 
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Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.

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