Answer:
A scale to plot data
It is hard to tell the difference between the choices. If they are the following:
- a starting point with equal intervals that follow
- a stopping point for the data that can fit on the graph
- a way to locate data
- a scale to plot data
No, permutation is for finding out orders like how many ways can you arange the letters x,y,z the answer is 6, because xyz, xzy, yxz, yzx, zyx, zxy
permutations are a branch of probability
probability is (desired outcomes)/(total possible outcomes) or
10/total people registered
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
Hello,
1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)
4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)
5:
From the vertex to ∞
[-1/4 , ∞)
For this case we have that the relationship is direct.
Therefore, we have:
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
From here, we clear the value of k:
Therefore, the relationship is:
For 1428 kilometers we have:
Clearing the amount of fuel we have:
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers
