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GaryK [48]
3 years ago
14

The perimeter of a rectangular garden is 37.5 feet. The width is x, and the length is 15 ft. Use the equation 2(x + 15) = 37.5 t

o determine the width, in feet, of the garden?
Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

first what u do is u just make 2(x+15)=37.5 into 2x+15=37.5

and then u do 2x=37.5-15

that will give u 2x=22.5

then u do this x=22.5/2

and x = to 11.25

charle [14.2K]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:

37.5/15=2.5

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Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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The circumference of a circle is G inches. The diameter is 15 inches. Which expression best represents the value of \piπ
oee [108]

Answer: Try using calculatorsoup dot com, you need to be more specific, and use Find A, C and r | Given d?

radius r = 7.5 in

diameter d = 15 in

circumference C = 47.123889803847 in

area A = 176.71458676443 in2

In Terms of Pi π

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area A = 56.25 π in2

Step-by-step explanation:

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frozen [14]

Answer:

245/999

Step-by-step explanation:

0.245bar = n

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Alik [6]

Answer:

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Step-by-step explanation:

Ok so first things first

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now we have

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step 2 divide each side by 2

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so x=42

so we know that the angles that are listed bellow

(73, 48 and y)

are supplements meaning that they will add up to equal 180 so to find y we subtract the given angles

180-73-48=59 so y=59

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The approximate percent increase of Misha's test score is 33%. The correct answer between all the choices given is the second choice. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
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