Answer:
33 gallons of water to begin with.
Step-by-step explanation:
So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
The slope is:
So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).
So, there were 33 gallons of water in the tank to begin with.
i) The given function is
The domain is all real values except the ones that will make the denominator zero.
The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.
iii) If we equate the numerator to zero, we get;
This implies that;
iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is 
.
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Step-by-step explanation:
step 1. Where is the original equation? let's assume it is y = x^2
step 2. to shift to the right 3 places replace x with x - 3 and to shift 4 down subtract 4 from the equation
step 3. y = (x - 3)^2 - 4.
Answer:
So, the answer in short is B) (6,1)
Step-by-step explanation:
If you graph the points, then you see that point A is 8 points away from point B on the X-axis. If you take 8 and divide it by 4, you get 2, so that means that the 1/4 way point is 2 points away from point A, giving you 6 as your x-axis point for this new point. B is the only one with 6 as its spot on the x axis, leaving B as the only choice. BTW you're pretty cute ;)
