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.
The question is incomplete:
If you see that gasoline costs $1.70 in Georgia and $3.40 in California, you can conclude that gasoline is twice as expensive in California as in Georgia. This conclusion from this comparison reflects the function of money as a:
-store of value
-an object with a value that varies sharply from one place to another
-medium of exchange
-unit of account
Answer:
Unit of account
Step-by-step explanation:
-Store of value refers to something that can be kept for a period of time and maintains its value in the future.
-An object with a value that varies sharply from one place to another means that products can have different prices in different places.
-Medium of exchange refers to an object with an standard value that allows you to purchase goods or services.
-Unit of account refers to a numerical unit that allows you to compare the value of products and services.
According to this, the answer is that this conclusion from this comparison reflects the function of money as a unit of account because it indicates that money works as a unit that you can use to compare the value of products, in this case the price of gasoline in different places.
Answer:
V=πr2h
Step-by-step explanation:
ANSWER
Or
EXPLANATION
The given polynomial is
where a=1,b=k, c=30
Let the zeroes of this polynomial be m and n.
Then the sum of roots is
and the product of roots is
The square difference of the zeroes is given by the expression.
From the question, this difference is 169.
This implies that:
We substitute the values of k into the equation and solve for x.
The zeroes are given by;
We have
and
so the equation is indeed exact. So we want to find a function 
such that
Integrating both sides of the first equation wrt 
gives
Differentiating both sides wrt 
gives
So we have
or
