Answer:
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Step-by-step explanation:
Think of asy. as limiting fences to where your graph can travel. If, for example, you graph y = 1/x properly, you'll see that the graph never crosses either the x- or the y-axis. As x increases, your graph will get closer and closer to the line y=0 (which happens to be the horiz. axis), but will not cross it. Similarly, as x approaches x=0, the graph gets closer and closer to the vert. axis, x=0, but will not cross it. Do you see how the asymptotes limit where the graph can go?
Vertical asy. stem only from rational functions and correspond to x-values for which the denominator = 0. As you know, we can NOT divide by zero. Instead, we draw a vertical line thru any x-value at which the rational function is not defined.
Horiz. asy. have to do with the behavior of functions as x grows increasingly large, whether pos. or neg. Go back and re-read my earlier comments on horiz. asy. As x grows incr. large, in the positive direction, the graph of y=1/x approaches, but does not touch or cross, the horiz. asy.I will stop here and encourage you to ask questions if any of this discussion is not clear.
Answer:
s=6 years
m=48 years
Step-by-step explanation:
Let
Mother's age=m
Son's age=s
m=8*s
m=8s (1)
m+6=9/2(s+6)
m+6=9/2s+27 (2)
Substitute (1) into (2)
m+6=9/2(s)+27
8s+6=9/2s+27
8s+6-9/2s-27=0
8s-9/2s-21=0
(16-9/2)s-21=0
7/2s=21
s=21÷7/2
=21×2/7
=42/7
s=6
Present age of the son=6
m=8s
=8(6)
m=48
Present age of the mother=48
If we raise a number to a power of 2, we can represent the result graphically as shown below (where n is the number to be raised to a power of 2)
This is a square of side equal to n.
Therefore, the answer is option C, squared.
