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3 years ago

Write an exponential function in the form y=ab^x 0,6 2,96

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer: y = 20*4^x

Step-by-step explanation:to find the value of the constants a and b, we just need to use the points given in the equation and solve the system of equations:

point (0,20): x = 0 and y = 20:

20 = a*b^0 = a*1 = a

a = 20

point (2,320): x = 2 and y = 320

320 = 20 * b^2

b^2 = 16

|b| = 4

b = 4 or b = -4

So we have two exponencial equations that pass through these points:

y = 20*4^x and y = 20*(-4)^x

As the questions asks for just one equation, we can answer y = 20*4^xIf you have two points, (x1, y1) and (x2, y2), you can define the exponential ... these points by substituting them in the equation y = abx and solving for a and b. ... In this form, the math looks a little complicated, but it looks less so after you ... Taking 1910 as the starting point, this gives the pair of points (0, 1.75) and (100, 6.87). which well turn out to be y=6(4)^x

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4 years ago

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beks73 [17]

Answer:

The slope-intercept form of the equation of the line is:

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Step-by-step explanation:

The slope-intercept form of the line equation

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Given the points

(0, 2)

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(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

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Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

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Thus, the y-intercept b = 2

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3 years ago

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LenKa [72]

Answer:

The difference between city and town is 189m.

Step-by-step explanation:

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3 years ago

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attashe74 [19]

Answer:

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Step-by-step explanation:

We are given that

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Using the formula

Volume of cylinder= $\pi r^2(2r)=2\pi r^3=27\pi$

Volume of sphere= $\frac{4}{3}\pi r^3$

Using the formula

Volume of sphere= $\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)$

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yulyashka [42]

Answer:

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