Solve the linear system by graphing y=x+2 and y=-6x+9
1 answer:
Answer:
(1, 3)
General Formulas and Concepts:
<u>Algebra I</u>
- Coordinates (x, y)
- Reading a Cartesian (Rectangular) plane
- Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 lines intersect will be the solution set to the systems of equations.
If the lines are parallel, they will have no solution.
If the lines are the same, they will have infinite amount of solutions.
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Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
- <em>Please note that the number with variable x in the term is a coefficient.</em>
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In our case:
Given the equation
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
Answer with Step-by-step explanation:
We are given that two independent tosses of a fair coin.
Sample space={HH,HT,TH,TT}
We have to find that A, B and C are pairwise independent.
According to question
A={HH,HT}
B={HH,TH}
C={TT,HH}
{HH}
={HH}
={HH}
P(E)=
Using the formula
Then, we get
Total number of cases=4
Number of favorable cases to event A=2
Number of favorable cases to event B=2
Number of favorable cases to event C=2
If the two events A and B are independent then
Therefore, A and B are independent
Therefore, B and C are independent
Therefore, A and C are independent.
Hence, A, B and C are pairwise independent.