Answer:
Option D is correct
The initial value is 2
Step-by-step explanation:
The equation of line passes through the origin is represented by:
y = mx where m is the slope or unit rate .
Direct Proportionality says that:
if 
then the equation of the form is y = kx where k is the constant of proportionality.
Given the equation: 
Then by definition:
m = 2
⇒ Slope on the line is 2.
⇒ the unit rate is 2.
Also, the constant of proportionality is 2.
Therefore, the statement which is not true for the equation y=2x represents a set of data is: The initial value is 2
<span>Partial products are different in regrouping in terms of how numbers are clustered from a set equation as a whole delivering it individual but naturally to all the numbers involved in the set. </span>
Regrouping is just like the commutative or associative property of numbers.
<span>Associative property of addition is used when you want to group addends. This is mainly used to cluster set of numbers or in this case, addends. How do you use the associative property when you break apart addends? Simple you group them using the open and closed parentheses or brackets. Take for an example 1 + 1 + 2 = 4. Using the associative property you can have either (1 + 1) + 2 = 4 or 1 + (1 + 2) = 4 clustered into place.
</span>
We have been given a system of inequalities and an objective function.
The inequalities are given as:
And the objective function is given as:
In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.
Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
Answer:
domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
Step-by-step explanation:
We are given;
Total students for the fruit cup party = 18
Total teachers for the fruit cup party = 2
Cost of each fruit cup =$ 3
Delivery charge = $ 10
Now, the total number of people attending the party = Total number of students + Total number of teachers
Thus;
Total number of people attending party = 18 + 2 = 20
Since cost of each fruit cup is $3.
Thus, for 20 fruit cups, the function is;
f(x) = 20x where x is cost of each fruit cup.
It means the cost of 20 fruit cups = $3 × 20 = $60
Thus, domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
