Answer:
The dimensions are 6 by 6
Step-by-step explanation:
Calculus answer:
2x +2y= 24
xy= A
2x=24-2y
x=12-y
(12-y)(y)= 12y- y^2
the Derivative is = 12-2y
Then set that equal to zero 0=12-2y
-12=-2y
y=6
Confirm that 6 is a maximum by using a wiggle graph
wiggle graph -∞<---inc--6---dec-->∞
6 is a maximum
plug into original equation
2x + 2(6)=24
2x+12=24
2x=12
x=6
----------------------------------------------------------------------------------------------------
y=6
x=6
For this case we must find an expression equivalent to:

We look for the factors of 10 and 30:
10: 1,2,5,10
30: 1,2,3,5,6,10,15,30
The greatest common factor of both numbers is 10.
Then, we can rewrite the expression as:

Answer:

Answer:
B) vertical stretch
Step-by-step explanation:
Given that the cost of manufacturing x refrigerators is given by the function
.
Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).
Now we need to decide the type of transformation from f(x) to 2f(x).
Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".
in 2f(x), we have a=2
So that means "B) vertical stretch" is the correct choice.
Answer:

Step-by-step explanation:
<em>The question has missing options ; However, the question is still solvable</em>
Given

Direction = 2 units left
Required
Shift the function by 2 units in the x axis
The general format of shifting a function along the x axis (by the left) is as follows

Where c represents the direction;

Since
, then
