PLEASE HELP! I WILL GIVE BRAINLIEST! A B C D E
2 answers:
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The value of x when y = 2 is x = 36
Step-by-step explanation:
The equation that we have in this problem is:
In order to find the value of x when y is equal to
y = 2
We need to re-arrange the equation making x the subject.
We proceed as follows:
1) We add +7 on both sides:
2) Now we multiply both sides by 4:
3) Now we can substitute y = 2 and find the value of x:
Learn more about equations:
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Answer:
Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.
Substitute values for the dimensions
Hence, the volume of the aquarium is 2000 cubic inches
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is 
. Set the derivative equal to 0 and factor to find the critical numbers. 
, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.