Answer:
9x^8
25x^12
36x^16
Step-by-step explanation:
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Answer:</u></h2><h2>
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Solution Steps:</u></h2>
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<h3>1.) Dependent Variable:</h3>
- A dependent variable is almost always the variable. This also means it depends on another variable. The way you can tell it's dependent for this problem is that the per the rule: distance = time. This means that the distance changes based on the time.
- depends on
So your answer is Distance.
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<span>((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX = (x^2 + 2x delta x + (delta x)^2 + x + delta x - x^2 - x) / delta x = delta x (2x + delta x + 1) / delta x = 2x + delta x + 1
Therefore, </span>Lim as x tends to 0 of <span>((x + delta X)^2 + x + deltaX - (x^2 + x)) / deltaX</span> = 1 + delta x
The equation is there so you can find the rate of change and the y-intercept which is done like so:
rearange the variables and numbers by moving the x it the right side of the = which becomes -x.
2y= -x-4
divide the 2 by the -x and -4
which gives us:
y= -1/2x -2
so the rate of change is -1/2 and the y-intercept is -2.
we use the points to plug it into an equation that looks like this:
y-y1 = m(x-x1)
plug in the numbers like so:
y-5= -1/2(x+8)
distribute first:
y-5= -(1/2)x - 4
then get the y alone by adding 5 to -4, which leaves us with
y = -(1/2)x+1
the answer is:
Y= -(1/2)X +1