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Ksenya-84 [330]
3 years ago
11

What is a and b . y=ab^x

Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer:

a = 4, b = \frac{1}{2}

Step-by-step explanation:

Use any ordered pairs of points from the table.

Substitute into the equation and solve for a and b, that is

Using (0, 4), then

4 = ab^{0} = a

Hence a = 4

Using (2, 1), then

1 = 4b^{2} ( divide both sides by 4 )

b² = \frac{1}{4} ( take the square root of both sides )

b = \frac{1}{2}

Equation is

y = 4(\frac{1}{2}) ^{x}

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snow_lady [41]

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