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solniwko [45]
2 years ago
10

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

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In a survey of 300 house wires. It was discovered
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Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

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        n(A∩B) = 48

        n(B∩C) = 60

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so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

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A

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