Answer:
Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...
<h2>Question:</h2><h3>WHAT IS THE NAME YOU OF A SOLID THAT HAS TWO PARRALLEL POLYGON BASES AND ALL OTHER FACES THAT ARE RECTANGLES 2 SEE ANSWERS?</h3>
Step-by-step explanation:
<h3>A prism is a three-dimensional figure with two</h3>
<h3> parallel, congruent bases. The bases, which are</h3>
<h3> also two of the faces, can be any polygon. The </h3>
<h3>other faces are rectangles. A prism is named </h3>
<h3>according to the shape of its bases.</h3>
You basically have to find the slope, to find the average rate of change, because finding the slope and finding the average rate of change is basically the same thing.
Here's the formula :
So here, all you'd have to do is simply pick two points, and insert them into this formula. Say you take the points (-2, -2) and (0,-3). You would start from the y-intercept of the second point, and insert them all into the formula.
which would turn into
. And so since you want a good, stable number, and not just a fraction, you would divide -1 and 2, and the average rate of change would be
-0.50.
AVERAGE RATE OF CHANGE :
-0.50
Answer:
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
Step-by-step explanation:
Each equation is in vertex form, so we can read the vertex of the rocket's path from the equation.
y = a(x -h)^2 +k . . . . . . has vertex (h, k)
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g(x) has vertex (time, max height) = (4, 170).
h(x) has vertex (time, max height) = (5, 170).
The rockets have the same maximum height (170), but the first rocket, g(x), reaches that height in 4 seconds, one second sooner than the second rocket, h(x).
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
