64x12-1,000 written as a difference of cubes is (4x4)3-103
The independent quantity is the price to play 1 game, and the dependent quality is however many games are played.
Answer:
y=5/9x+5
Step-by-step explanation:
The formula is y=mx+b with m being the slope and b being the y intercept so just plug in the values.
Answer: ( -7 , -3 )
Step by step:
The point: ( X , Y )
Left 2 units = change X by -2
So, -5 subtract by 2 equals -7
Down 3 units = change Y by -3
So, 0 subtract by 3 equals -3
Now, X = -7 and Y = -3, so the answer is ( -7 , -3 )
Hope this helps! Please tell me if I did anything wrong, thank you!
Recall that a rational function:
has a vertical asymptote at x₀ if and only if:
Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:
Since the rational function has a double zero at x=2 we get that its numerator must be of the form:
Finally, since the rational function has y-intercept at (0,2) we get that:
Simplifying the above equation we get:
Dividing the above equation by 4 we get:
Therefore, the rational function that satisfies the given conditions is:
Answer:
The numerator is:
The denominator is: