Answer: A cardboard box without a lid is to have a volume of 32,000 cubic cm. Find the dimensions that minimize the amount of cardboard used
. ans: base 40 x 40, height = 20
Solution:
The typical box might look like the one below
where . In addition we have xyz = 32000 ,so we need to minimize .
We have,
From the geometry of the problem so y = x. So or x = 40.
Finally, y = x = 40 and z = 32000/(xy)=20.
Answer:
m = -1/2
Step-by-step explanation:
Recall that slope = (change in y) / (change in x).
Going from (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and
y decreases by 1. Thus, the slope here is
m = (change in y) / (change in x) = (-1) / 2 = -1 / 2
m = -1/2
Answer:
Step-by-step explanation:
y=5/2x+2
2y=5x+4
y=5/2x+2
y=5/2x+2
they are the same line/equation so infinite number of solutions
From the given the function, <span>y(t)=−t²+14t−40; the graph will be as shown below:
From the graph, it is evident that between the intervals 6</span>≤t≤8<span>:
The value of our function decreases over the given interval. Hence the answer is:
</span><span>a. The value of y(t) increases over the interval 6≤t≤7
</span>
Answer:
x=7
Step-by-step explanation:
12x-8+104=180
12x=84
x=12