Answer:
The values of x for which the model is 0 ≤ x ≤ 3
Step-by-step explanation:
The given function for the volume of the shipping box is given as follows;
V = 2·x³ - 19·x² + 39·x
The function will make sense when V ≥ 0, which is given as follows
When V = 0, x = 0
Which gives;
0 = 2·x³ - 19·x² + 39·x
0 = 2·x² - 19·x + 39
0 = x² - 9.5·x + 19.5
From an hint obtained by plotting the function, we have;
0 = (x - 3)·(x - 6.5)
We check for the local maximum as follows;
dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0
6·x² - 38·x + 39 = 0
x² - 19/3·x + 6.5 = 0
x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2
∴ x = 1.288, or 5.045
At x = 1.288, we have;
V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99
V ≈ 22.99 in.³
When x = 5.045, we have;
V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023
Therefore;
V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5
The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.
14 because 2 people=13 problems in an hour
91/13=7
7times 2 is 14
14 IS YOUR ANSER PLS MARK ME BRAINLIEST :D
Answer:
b
Step-by-step explanation:
Use the formula y1-y2÷x1-x2
7-6÷(-6)-(-3)
7-6=-1
(-6)-(-3)=3
So, you know that you have a slope of -1/3. so, b would be your answer
Answer:
A.quadratic
Step-by-step explanation:
3x+x^2+4
Put in order from largest to smallest power of x
x^2 +3x+4
The highest power is 2
A.quadratic highest power 2
B. quartic highest power 4
C. linear highest power 1
D. cubic highest power 3
Answer:
looks like 125 seats in total..good luck
