Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
The cost function is:
And the average cost function is:
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
Multiplying by x:
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
Swapping sides and changing the sign:
Dividing by 41:
The least number of items to produce is 41
F(X) means plug in te number within the parenthesis for the given function. It's simply an equation expressed through different notation. In this case it asks you to plug in two, so you do:
-3(2)+4 = f(2)
That means that f(2)=-2.
The required system of equations is 
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:
I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:
Adding eq(1) and eq(2)
Putting value of x=1 into eq(1) to find value of y
The solution set after solving system of equations is (1,4).
The required system of equations is
Keywords: System of equations
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There is not relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
Answer: Option A.
<u>Explanation:</u>
A scatterplot is a type of data display that shows the relationship between two variables. It makes use of the Cartesian coordinates to plot the values of the two variables for a set of data. This is used to show how much is one variable is affected by the other variable.
Since in the scatterplot which is being talked about in this question, it is scattered and is not clustered, this shows that there is no relationship between the size of the school and the number of the students who play instruments in the school.
