7s. 49
1 answer:
The correct question is
(7s)/(s^2 - 14s + 49) - (49)/(s^2 - 14s + 49)
----- > (7s-49)/(s^2 - 14s + 49)
s^2 - 14s + 49------------ > <span>solving the quadratic equation
</span>
s1=7 s2=7 ------------> see the attached figure
therefore
s^2 - 14s + 49=(s-7)(s-7)=(s-7)²
<span>substituting
</span>(7s-49)/(s^2 - 14s + 49)=(7s-49)/(s-7)²=7[s-7]/[(s-7)²]------ > 1/(s-7)
the answer is 1/(s-7)
(7s)/(s^2 - 14s + 49) - (49)/(s^2 - 14s + 49)
----- > (7s-49)/(s^2 - 14s + 49)
s^2 - 14s + 49------------ > <span>solving the quadratic equation
</span>
s1=7 s2=7 ------------> see the attached figure
therefore
s^2 - 14s + 49=(s-7)(s-7)=(s-7)²
<span>substituting
</span>(7s-49)/(s^2 - 14s + 49)=(7s-49)/(s-7)²=7[s-7]/[(s-7)²]------ > 1/(s-7)
the answer is 1/(s-7)
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Answer:
Step-by-step explanation:
In this case the transformation being done to the graph of f is a dilation. To find the value that is dilating the graph, you can compare 2 points. First, figure out what axis is changing. In this example, we can see that the y values changed. That means that the value that dilates the graph is outside of the function f(x) as it is modifying the output. Since it's only the y-values changing, we need to grab 2 points with the same x values but differents y values. The 2 points that make this the easiest are (2,-3) on f and (2,-1) on g. If we compare the 2, we see that the y-values between f and g changed. If we were to make a ratio of the change, we would get:
Therefore, the dilation factor is one third. This is being applied to the y-values so it is placed outside the function, meaning that the answer is: