You can approach this question by writing the function as y=… as I did in the photo. Then rearrange to make x the subject. Lastly, swap the ys for xs and write as I did on the final line of my working. If you like I can explain how to rearrange the equation or answer any other questions but I think you should be able to see
Answer:
The equation will be:
Step-by-step explanation:
Given that at one station, gas costs $2.75 per gallon.
Let 'g' be the number of gallons of gas purchases
Let 'C' be the total cost
Thus, the expression for total cost can be generated by multiplying the price per gallon by the number of gallons.
Thus,
C = 2.75g
Therefore, the equation will be:
Answer: 
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Explanation:
The (x-a) in the denominator causes a problem if we tried to simply directly substitute in x = a. This is because we get a division by zero error.
The trick often used for problems like this is to rationalize the numerator as shown in the steps below.
At this point, the (x-a) in the denominator has been canceled out. We can now plug in x = a to see what happens
There's not much else to say from here since we don't know the value of 'a'. So we can stop here.
Therefore,
Answer:
(0, -3)
Step-by-step explanation:
Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."
Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.
x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:
x^2 + y^2 + 6y + 9 - 9 = 72:
x^2 + (y + 3)^2 = 81
Comparing this to the standard equation of a circle with center at (h, k) and radius r,
(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.
The center of the circle is (h, k), or (0, -3).
