Answer:
no the quadrilateral isn't a parallelogram
Step-by-step explanation:
For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.
Answer:
I strongly believe that the question requires us to calculate the cost of one 500ml bottle of shower gel based on this special offer of buy 2 bottles get another for just $2.
The correct answer is $5.33
Step-by-step explanation:
From a buyer's point of view,a 500ml bottle of shower gel cost is the $7 multiplied by 2 bottles plus $2 multiplied by 1 bottle all divided by 3 bottles.
The rationale for the denominator is that the total number of bottles bought would then equal 3 bottles .
Cost per bottle =($7*2)+($2*1)/3=$16/3=$5.33
Instead of a bottle costing $7,under the special arrangement a bottle would simply cost $5.33
V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
Y=53.9 is the answer to your question
Yes I think it is correct.
