Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Make a scatterplot of the data. Once finished, look at the scatterplot
to determine if the data taken holistically appears to be a close to the
shape of a line.
To find a perpendicular line, you need to find the negative reciprocal of the slope.
-2/5 flips into -5/2
Since -2/5 is negative, -5/2 turns positive, so 5/2.
Therefore, the slope of a line perpendicular to Y = -2/5x + 4/5 is 5/2
Answer:
0.083 repeating
Step-by-step explanation:
The chance of getting 3 on the first spin is 1/6 because there are 6 possible outcomes and 1/2 on the second spin because 1,3,5 are all odds and 2,4,6 are even and when you multiple them together you get 0.083 repeating.
Answer: 
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