3 years ago

Given the exponential function f(x)=50•2^x determine the rate of change over the interval (1,4)

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

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Answer:

3(x+3)

Step-by-step explanation:

3x+9

Rewriting as

3*x +3*3

Factor out a 3

3(x+3)

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4 years ago

The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is

densk [106]

Answer:

$(x-2)^{2}+(y-4)^{2}=25$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-2,1)\\B(6,7)$

substitute the values

$d=\sqrt{(7-1)^{2}+(6+2)^{2}}$

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$d=\sqrt{100}$

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The radius is half the diameter

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step 2

Find the center of the circle

the center of the circle is the midpoint between the endpoints of the diameter

The center is

$(\frac{-2+6}{2},\frac{1+7}{2})$

$(2,4)$

step 3

Find the equation of the circle

The equation of the circle is

$(x-h)^{2}+(y-k)^{2}=r^{2}$

substitute the values

$(x-2)^{2}+(y-4)^{2}=5^{2}$

$(x-2)^{2}+(y-4)^{2}=25$

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3 years ago