explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.
An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:
x=(x1+x2)/2
y=(y1+y2)/2
Solving each equation for (x2,y2) yields the solution (0,-14).
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3.1(p - 2.7) simplified:= 3.1p-8.37
Answer:
D
Step-by-step explanation:
If y = log x is the basic function, let's see the transformation rule(s):
Then,
1. y = log (x-a) is the original shifted a units to the right.
2. y = log x + b is the original shifted b units up
Hence, from the equation, we can say that this graph is:
** 2 units shifted right (with respect to original), and
** 10 units shifted up (with respect to original)
<u><em>only, left or right shift affects vertical asymptotes.</em></u>
Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.
Answer choice D is right.
Answer:
D) The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.
Step-by-step explanation:
Let's find the ordered pairs.
(-4, 4), (-3, 2), (-2, 0), (-1, 0.5), (0, 1), (1, 1.5), (2, 2), (3, 0)
The graph passed through above points.
In the x-coordinates -3, 2 gives the same output. Therefore, the given function is not one-to-one.
Therefore, the answer D)
The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.
Hope you will understand the concept.
Thank you.
Answer:
$0.21 per year
Step-by-step explanation:
$0.21 times 5 years equals $1.05
So its $0.21