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Harlamova29_29 [7]
3 years ago
12

You are downloading a song. The percent y(in decimal form) of megabytes remaining to download after x seconds is y=-0.1x+1.

Mathematics
2 answers:
Xelga [282]3 years ago
5 0
The Y intercept is always when X equals 0. The X intercept is when Y equals 0.
An easy way to find x and y intercepts is to substitute these variables with 0.
To find the Y intercept, substitute 0 for X.
Y=-.1(0)+1=1 So you know that when Y equals 1 and X equals 0, you have you Y intercept.
Because we write coordinates as (X,Y), you can just plug in the numerals and have your coordinate for the Y intercept. So, x=0 y=1 (0,1)
To find the X intercept, substitute 0 for Y.
     0=-.1x+1 -Add .1x to both sides
+.1x   +.1x
   .1x=1       -Divide both side to get x by itself.
.1x/.1=1/.1
x=10   So, we know that when y=0, x=10. This is our x intercept.
Coordinate form is (X,Y) so our x intercept is (10,0)
igomit [66]3 years ago
3 0


I would make the equation have both of your variables on the same side:

0.1x+y=1

Then I would use the cover-up method and say that

x-intercept= 10

y-intercept= 1


*Cover-Up Method: If you were finding the X-intercept, you would just ignore the y variable and divide your whole number by x.

In this case the whole number is 1. 1/0.1=10

Vice Versa with finding the Y-intercept

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Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

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Answer:

(-1,3)

Step-by-step explanation:

so y=x+4 and y=-2x+1

obviously, y=y

so that means that x+4 is equal to -2x+1

let's use that

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