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3 years ago

An equation is shown below:

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

You haven't shared the instructions; please do so now.
If you're supposed to find x that satisfies this equation, this is a relatively challenging problem.

One way to approximate the solution would be to plot y = (3/2)x + 7/2 and y=2^x carefully on the same set of axes. Try to read off the x- and y-values at the single point where these two graphs intersect. (x, y) would be your solution.

I did this graphically on my calculator and found that the point of intersection is (3,8).

To check, determine whether y = 2^x is true when x = 3 and y = 8, and also check whether y = (3/2)x + 7/2 is true for the same x and y values.

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

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3 years ago

F of x equals four divided by x. and g of x equals four divided by x

nikdorinn [45]

F(x)=8/x, g(x)=8/x
f(g(x)) = f(8/x)=8/8/x=x,
g(f(x)) =g(8/x) =8/8/x=x,
so f(g(x)) = g(f(x)) = x. if f of x equals eight divided by x and g of x equals eight divided by x

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IgorC [24]

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4 years ago