Direct variation always has the relationship y=kx. Indirect inverse variation always has the relationship y=k/x.
In this case y=kx, where k=6, so this is a direct variation.
Answer:
<em>
</em>
<em>option</em><em> </em><em>C</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>option</em><em>.</em>
<em>Expla</em><em>nation</em><em>:</em>
<em>General</em><em> </em><em>expression</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>cosine</em><em> </em><em>function</em><em> </em><em>is</em><em>:</em>
<em>y</em><em>=</em><em>A</em><em> </em><em>cos</em><em> </em><em>k</em><em> </em><em>X</em>
<em>where</em><em> </em><em>A</em><em> </em><em>is</em><em> </em><em>amplitude </em><em>and</em><em> </em><em>2</em><em> </em><em>pi</em><em>/</em><em>k</em><em> </em><em>is</em><em> </em><em>its </em><em>period.</em>
<em>In</em><em> </em><em>our</em><em> </em><em>case</em><em>,</em>
<em>
</em>
<em>has</em><em> </em><em>:</em>
<em>
</em>
<em>hence,</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>C</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>
First we will find the difference between the first two fractions
1/8-1/16=
here the common dinominator is 16 so we will get the following out of the subtraction
1/8-1/16=1/16
D=1/16
to get the next three, we will just add the difference to the previous fraction to get the next fraction.
so our pattern will be 1/16, 1/8, 3/16, 1/4, 5/16, 3/8, 7/16
Answer:
y = 5x + 3
Step-by-step explanation:
First we need to find the slope.
The equation to find the slope is m = y2 - y1/x2 - x1 -----> (x1 and x2 just mean the x coordinate for the 2 points, so basically in this case, x1 would be 1 and x2 would be 3. Same for y1 and y2, just the y coordination of each point. y1 = 8 and y2 = 18)
m = 18 - 8/ 3 - 1
m = 10/2
m = 5
The slope would be 2 or 2/1. If you have a fraction that does not divide evenly, such as 3/5, DO NOT simplify unless specified.
Now that we have the slope, we can put this into point-slope form. The formula for this form is:
y - y1 = m(x - x1)
For this you would have to choose one of your points.
I'm going to choose the first one.
y - 8 = 5(x - 1) ----> Always remember in this formula the "m" is the slope, and we previously found out that it was 2, so plug 2 into m
From here just do basic multiplication and addition/subtraction.
y - 8 = 5x - 5
+8 +8
y = 5x + 3
To test to see if these go through your points, plug the 2 points and equation into a website called desmos. (Very good site, and if your teacher has not recommend it, I highly advise using it. )