The pressure of a scuba tank should be within 500 pounds per square inch (psi)of 2500 psi. Write the range of optimum pressures.
1 answer:
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Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line:
Slope of 2nd line:
The slopes are not equal, therefore the lines intersect.
Answer:
cm
Step-by-step explanation:
The volume of the box is:
V = height * length * width
V = x*(66 - 2*x)*(90 - 2*x)
V = (66*x - 2*x^2)*(90 - 2*x)
V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3
V = 4*x^3 - 312*x^2 + 5940*x
where x is the length of the sides of the squares, in cm.
The mathematical problem is :
Maximize: V = 4*x^3 - 312*x^2 + 5940*x
subject to:
x > 0
2*x < 66 <=> x < 33
In the maximum, the first derivative of V, dV/dx, is equal to zero
dV/dx = 12*x^2 - 624*x + 5940
From quadratic formula
But , then is not the correct answer.