ANSWER
The turning point is

EXPLANATION
The function given to us is

At turning point,

So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,

We equate this to zero to obtain,

We divide through by 3.

We solve for x to get,


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.



Therefore the turning point is

C is the correct answer.
1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>
2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>
3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>
4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>
5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>
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Formula's applied:
(a) Volume of rectangle: Length × Width × Height
(b) Volume of Cube: (side)³
Either mean or median, they are both 14 in this data set.
Commenter jdoe said it right: solve for y and leave the rest on the other side.
-x + 3y = 6
3y = 6 + x add x on both sides
3y = x + 6 rearrange to get the x first
y = (x + 6) /3 divide both sides by 3
y = x/3 + 6/3 split the numerator (caution - never split denominators)
y = x/3 + 2 simplify 6/3
Thus the line in slope intercept form of y = mx + b is y = 