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Juli2301 [7.4K]
1 year ago
9

Select the correct answer. Which function is the inverse of ?

Mathematics
2 answers:
Artyom0805 [142]1 year ago
6 0

<u>Answer:</u>

B.    f^{-1}(x) = \frac{x + 3}{9}

<u>Step-by-step explanation:</u>

let \space\ y = f(x)\\\\y = 9x -3\\

• Now make x the subject of the equation:

9x = y + 3\\\\x = \frac{y + 3}{9} \\

• Replace x with f⁻¹(x) and y with x:

f^{-1}(x) = \frac{x + 3}{9}

kirill [66]1 year ago
3 0
The answer is b I think
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A<br> Write the equation for<br> line that<br> passes through (1, 1) and (-1,7)
KengaRu [80]

Answer:y=-3x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,1) and (-1,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=1.

Also, let's call the second point you gave, (-1,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

-1 - 1

or...

m=

6

-2

or...

m=-3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,1). When x of the line is 1, y of the line must be 1.

(-1,7). When x of the line is -1, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (-1,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,1). y=mx+b or 1=-3 × 1+b, or solving for b: b=1-(-3)(1). b=4.

(-1,7). y=mx+b or 7=-3 × -1+b, or solving for b: b=7-(-3)(-1). b=4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,1) and (-1,7)

is

y=-3x+4

8 0
3 years ago
If a cow weighs 300 pounds how many would 6000 cows weigh
nadya68 [22]

Answer:

1,800,000

Step-by-step explanation:


6 0
3 years ago
A ) 4.05 per pound <br> B) $5.40 per pound <br> C) $2.70 per pound <br> D) $1.35 per pound
Nadusha1986 [10]

Answer:

D is the correct answer

Step-by-step explanation:

As you see, the product of peaches 1 and 2 have the different in cost is $1.35 and $2.70. As well as the following product of peaches also have the same increase in money.

So 2.70 - 1.35 = 1.35 so the common increase would be $1.35

Hope this help you :3

6 0
3 years ago
3r+0.5=18.5 what is r
Crazy boy [7]
18.5-0.5= 18 18/3= 6 So r=6
4 0
3 years ago
Read 2 more answers
How do i solve this?<br> how many ways can you choose 3 dishes from a menu of 8?
JulijaS [17]
You just divide 3 and 8 
7 0
3 years ago
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