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dezoksy [38]
3 years ago
6

G(x)=1/2(x-3)+1 find the inverse

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

g(x)=\dfrac{1}{2}(x-3)+1\\\\y=\dfrac{1}{2}(x-3)+1\\\\\text{replace x with y and y with x}\\\\x=\dfrac{1}{2}(y-3)+1\\\\\text{solve for y}\\\\\dfrac{1}{2}(y-3)+1=x\ \ \ \ |-1\\\\\dfrac{1}{2}(y-3)=x-1\ \ \ \ |\cdot2\\\\y-3=2x-2\ \ \ \ |+3\\\\y=2x+1\\\\Answer:\ \boxed{g^{-1}(x)=2x+1}

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What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
Arisa [49]

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = \pir²h

V = \pi(8)²(8)

V = \pi(64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

6 0
3 years ago
1.) Multiply. (x – 7)(2x – 7)
drek231 [11]

hope it will help u......

4 0
3 years ago
Read 2 more answers
What is the y-intercept of function f?<br> A. 1<br><br> B. -1<br><br> C. -2<br><br> D. 5
shtirl [24]

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

The y intercept is 1

5 0
3 years ago
A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the co
laila [671]

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

6 units to the rights is towards the positive x axis

7 units down is towards the negative y axis

R' = (-2+6, 5-7)

R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

4 0
3 years ago
Together Ron and Tori have 35 trading cards. Ron has 9 more than Tori. How many cards does Ron have?
Anit [1.1K]
Ron has 22 cards
number one tip in math, try to create equation!
set number of cards Ron has as x (always set x as what you are looking for)
set number of cards Tori has as (x-9) because if Ron has 9 more cards than Tori that's same thing as saying Tori has 9 cards less than Ron
Number of cards Tori and Ron has need to equal 35
Therefore,
x + (x-9) = 35
Solve:
2x-9=35
bring over 9 to other side
2x=44
divide both sides by 2
x=22
So number of cards Ron has is 22

3 0
3 years ago
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