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Salsk061 [2.6K]
4 years ago
12

What is the inverse of the function f(x) = 4x + 8?

Mathematics
2 answers:
Viktor [21]4 years ago
8 0

Answer: FIRST OPTION.

Step-by-step explanation:

Given the following function:

f(x)= 4x + 8

Follow this steps in order to find its inverse:

1. Rewrite the function with y=f(x):

y= 4x + 8

2. Solve for "x":

y-8= 4x\\\\x=\frac{y-8}{4}\\\\x=\frac{y}{4}-2

3. Now you must exchange the variables:

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

4. And finally, rewrite the function with h(x)=y:

h(x)=\frac{x}{4}-2

Therefore, the inverse function is h(x)=\frac{x}{4}-2

mrs_skeptik [129]4 years ago
5 0

Answer:

h(x) = one-quarterx – 2 A

Step-by-step explanation:

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Write a fraction less then 1 qth a denotator of 6 that is greater then 3 fourths
anzhelika [568]
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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of  water >height of glass.

#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

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4 0
3 years ago
Problem page the length of a rectangle is four times its width. if the perimeter of the rectangle is 70 cm , find its area.
agasfer [191]
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
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So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.

I hope I helped!
5 0
4 years ago
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