What does it mean for a point to be the solution to two equations
1 answer:
Answer:
It means the point will satisfy both the equations.
Step-by-step explanation:
If we consider a point P which is the solution of two equations ax + by + c = 0 and px + qy + r = 0, then it conveys the information that both the equations will be satisfied by this point.
That means and
At the same time if we consider the geometric interpretation then, the graph of the equations ax + by + c = 0 and px + qy + r = 0 will always pass through the common point P. (Answer)
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Answer:
The answer to your question is: 83 + 6
Step-by-step explanation:
This is a square of a binomial.
(2 + 3
1.- Square of the first term
( 2 = 4(5) = 20
2.- Twice the product of the two terms
(2)(2(3
= 6
3.- Square of the second term
(3 = 9(7) = 63
4.- Write the solution
20 + 6 + 63
83 + 6
Answer:
The probability that they purchased a green or a gray sweater is
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
- P(A⋂B) = 0
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)=
P(A∪B)=
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