cascyrio2002
13.10.2020 •
Mathematics
(1.2x + y + 3z = 12
2. x-2y+=-5
3.5x – y + 2z = 5
a. Use equations 2 and 3 and eliminate the z by multiplication and addition, creating a new equation with only two variables.
b. Use equations 1 and 2 and eliminate the z by multiplication and addition, creating a second equation with only two variables.
c. Use the two new equations, and eliminate the 3-variable by multiplication and addition, finding the value for the y-variable.
d. Substitute y-value in the second new equation and find the 3-value.
e. Substitute the 2 - and y
values into original equation 2 to find the 2 -value
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Ответ:
• V = x(11 -2x)(16 -2x)
• x ≈ 2.1 in
Step-by-step explanation:
a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...
v(x) = x(11 -2x)(16 -2x)
__
b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).
That value of x is about 2.1 inches.