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Jet001 [13]
3 years ago
8

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. y= -2x^2 + 2x +2?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0
f(x)=-2x^{2}+2x+2 \\  \\ f(6)=-2*6^{2}+2*6+2=-2*36+12+2=-72+14=-58 \\  \\ f(x)=a(x-p)^{2}+q \\  \\ \Delta=2^{2}-4*(-2)*2=4+16=20 \\  \\ p= \frac{-b}{2a}  \\  \\ p= \frac{-2}{-4} = \frac{1}{2}  \\  \\ q= \frac{-\Delta}{4a}  \\  \\ q= \frac{-20}{-8} = \frac{5}{2}  \\  \\ f(x)=-2(x- \frac{1}{2})^{2}+ \frac{5}{2}
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3 years ago
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anzhelika [568]

Answer:

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Step-by-step explanation:

The bag contains 33 red and black marbles. Let the number of black marbles be b and that of red marble to r

Total number of marbles will be

b+r = 33 i.e b+r-33 = 0... (1)

If the number of red marbles is 6 more than double the number of black marbles, this can be represented as;

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Substituting 2 in eqn 1 we have;

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This shows that there are 9 black marbles, 24 red marbles and the equation r+b-33 represents the total number of marbles in the bag.

8 0
3 years ago
Read 2 more answers
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