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docker41 [41]
3 years ago
12

K(x)=10x+5 inverse function

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

The inverse of the function is k(x) = \frac{x - 5}{10}


You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.


k(x) = 10x + 5 ----> Switch the x and k(x)

x = 10k(x) + 5 ----> Subtract 5 from both sides

x - 5 = 10k(x) ----> Divide both sides by 10.

\frac{x - 5}{10} = k(x) ----> Now switch the order for formatting

k(x) = \frac{x - 5}{10}


And this is your new inverse function.

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PLZ HELP ASAP Geometry help: 2x^2 + 2y^2 - 8x +10y +2=0
Alexxx [7]
Ok so this is conic sectuion
first group x's with x's and y's with y's
then complete the squra with x's and y's


2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside

2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25

that is a circle center (2,-2.5) with radius √9.25

6 0
3 years ago
The cost to write an ad in a news paper is $10 plus $0.25 per word. Write an inequality that can be used to find the maximum amo
MA_775_DIABLO [31]

Answer:

f(x)=10+0.25x

she can put maximum 20 words

Step-by-step explanation:

f(x)<=15

10+0.25x<=15

0.25x<=5

x<=20

8 0
3 years ago
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Find the value of x in the isosceles triangle shown below. 12 10 Choose 1 answer:​
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3 years ago
The legend on a map states that
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3 0
3 years ago
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Given directed line segment QS , find the coordinates of R
Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (x_1,y_1) and B(x_2,y_2) is given by the formula:

x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1

If point Q is at (x_1,y_1) and S at (x_2,y_2)  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1

Let us assume Q(−9,4) and S(7,−4)

x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1

4 0
4 years ago
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