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IgorLugansk [536]
3 years ago
14

Belle ran 5 5/6 miles around the track. Each lap is 5/6 of a mile. How many laps did Belle run?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
Belle ran 4 31/36laps

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193%

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PLEASE HELP!
Alexus [3.1K]

Answer:

4x+5y-34=0

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

My goal is to put in in this form first.  Then I will aim to put it in general form, ax+by+c=0.

So let's give it a go:

m is the change of y over the change of x.

To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference.  Like this:

( 1 , 6)

-(6 , 2)

----------

-5   4

So the slope is 4/-5 or -4/5.

So m=-4/5.

Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].

6=-4/5 (1)+b

6=-4/5    +b

Add 4/5 on both sides:

6+4/5=b

30/5+4/5=b

34/5=b

So the y-intercept is 34/5.

The equation in slope-intercept form is:

y=-4/5 x + 34/5.

In general form, it is sometimes the goal to make all of your coefficients integers so let's do that.  To get rid of the fractions, I'm going to multiply both sides by 5.  This clears the 5's that were on bottom since 5/5=1.

5y=-4x+34

Now add 4x on both sides:

4x+5y=34   This is standard form.

Subtract 34 on both sides:

4x+5y-34=0

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3 years ago
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Consider the graph of f(x) below.
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I've searched online on what a graph look like in each given function and based on my online search, the given image of of the equation f(x) is a CUBIC FUNCTION.

A cubic function is like this: f(x) = ax³ + bx² + cx + d

The given graph can have this equation:

y = (x + 1) (x - 1) (x - 3)
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