Hi! Let me help you!
This problem is a Venn Diagram question. It is much easier to answer this question with the visual it usually comes with. However, we can employ logic to give this one a smart and logical answer.
What we have so far:
P(A) = 25. This means that the shaded area of A is equal to 25.
P(B/A) = 920. This means that area A subtracted 25 to the value of area B which resulted to 920.
P(B) = 945. How did I arrive with 945? Simple, I just added 25 to 920. Go and be a smart lad and find why I did that.
Solution:
Solving P(A∩B) is quite challenging because like I said, a visual is needed for us to give it a pefect answer. Employing logic and using what we have so far:
If P(A∩B) means A and B intersection, we can assume that it is simply as A + B.
If that is the case, then we can simply pull out our P(A) and P(B), 25 and 945 respectively and add them:
P(A) + P(B) = P(A∩B)
P(A∩B) = 25 + 945
P(A∩B) = 970 <----- What we are looking for
Therefore, P(A∩B) = 970!
Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Answer:
BCD = ECD
Step-by-step explanation:
they would equal the same thing because it is still the same shape
Answer:
7
Step-by-step explanation:
The total number of video games he had to begin with is 4+10=14.
Divide the total games by 2 (cases) and you get 7 games in each case
Well if the equation is -16t^2 + vt + h0,
and we know v = 30, because that's the velocity,
and we also know h0 = 6 because that's the height,
then the equation will read: -16t^2 + 30t + 6
