A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write a
1 answer:
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Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Answer:
(-5, -7) and the x-axis
Step-by-step explanation:
when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.
[remember: a point is written as (x, y) ]
We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)
We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:
-5 and 2 is 7
(2 - (-5) = 2 + 5 = 7)
so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)
(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)
(I've attached an image to help you visualize what we're doing)
hope this helps!!
