The graph adequately represents the following case
"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."
Step-by-step explanation:
To solve the above-mentioned problems we need to filter the results through analysing the options given-
We have to keep in mind that-
- For an increase in value/quantity- the graph would be on an upswing
- For decrease in value/quantity- The graph would be in declining mode
- For constant value- horizontal graph line parallel to the x-axis
Now going through the options-
option 1:-
David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.
option 2:-
test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.
option 3:-
After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.
option 4:-
Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph
Answer:
The answer would be 21.99
Hope this helps :)
Step-by-step explanation:
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
Answer:
Step-by-step explanation:
If a real number 
is a zero of polynomial function, then
is the factor of this function.
If a complex number 
is a xero of the polynomial function, then the complex number 
is also a zero of this function and
are two factors of this function.
So, the function of least degree is
If the polynomial function must be with integer coefficients, then it has a form
