No it isn't.
Explanation:
x/y * y = (y-6) * y
x = y^2 - 6y
A function gives just one y for every x
In this case there will always be 2 y's for every x
Example:
y can be
y = 6
or
y =−6
(0,-6) & (0,6)
Henry runs at a rate of seven miles an hour. I think you meant the second sentence to be 'Blake', because there is not attatched graph. They are both running at the same speed in this case.
I got this because 14 (miles ran by Henry) / 2 (hours ran) you get 7. This same equation is applied to (Blake?) 35 (miles ran by [Blake?]) / 5 (hours ran) also equals seven.
If you meant the second statement to be Blake, they are both running at the same speed, and x=7.
If you didn't, then there is not enough information to determine Blake's speed.
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Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft