It is not symmetric and has a peak of 5. because if you fold the graph in half it will not match up and the peak of the data is at 5.
The easiest way is if it doesn't need to be simplified. Multiply -2.105 by
. You get the fraction
. While this is technically the answer, you can simplify this down to
. Because 421 is a prime number, this can not be simplified any further. Therefore, the solution is
.
.
A) -2, -1
(solve the second equation for x (subtract 2y to the other side, then divide by 2 so x=-y-3) then plug that equation into the x value of the first equation to get y=-1; plug y=-1 into the second equation to get x=-2)
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)
Answer:
x≥-4
Step-by-step explanation:
-8x≤36-4
-8x≤32
x≥32/-8 when divide by minus you flip from≤ to ≥
x≥-4
