Which exponential function is represented by the graph? O f(x) = 2( 1/2)^x
O f(x) = 1/2(2)^x
O f(x) = 1/2(1/2)^x
O f(x) = 2(2)^x

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Ответ:

gshreya2005

01.11.2021

Mathematics

1) $y =\±75\\\\x =\±75$

2) $r= 75\ miles$

3) $A = 17,671.46\ miles ^2$

Step-by-step explanation:

The general equation of a circle has the form:

x^2 + y^2 = r^2

Where r is the radius of the circumference.

In this problem we have the circle with equation

x^2+y^2=5,625

1) The intercepts with the x-axis we find them doing y = 0 and solving for x:

$x^2 = 5,625\\\\x =\±\sqrt{5,625}\\\\x =\±75$

The intercepts with the y-axis we find them doing x = 0 and solving for y:

$y^2 = 5,625\\\\y =\±\sqrt{5,625}\\\\y =\±75$

The 4 interceptions are:

$y =\±75\\\\x =\±75$

2) The radius is:

$r =\sqrt{5,625}\\\\r= 75\ miles$

3) The area of a circumference is:

$A = \pi r^2$

$A = \pi(75\ miles)^2$

$A = 17,671.46\ miles ^2$

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Which exponential function is represented by the graph? O f(x) = 2( 1/2)^x O f(x) = 1/2(2)^x O f(x) = 1/2(1/2)^x O f(x) = 2(2)^x