The ratio is 4:5
so girls=4x
and boys=5x
(because you don't know how many boys or girls there are)
then the equation would be
4x+5x=18
9x=18
so x=2
then 2 times 4 which equals 8
and 2 times 5 which equals 10
so there are 8 girls and 10 boys
The common factor is 2x^2
2x^2(x-5)
Answer:
The correct option is D.
But option B is correct if P(A) = P(B).
Step-by-step explanation:
P(A|B) is read as "The probability of A given B".
It is different from the options A, B, and C.
It is equal to option B only if the probability of A is equal to the probability of B. That is P(A|B) = P(B|A) if P(A) = P(B).
Answer:
y=-2x+9
Step-by-step explanation
you would subtract 2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9
Vertex is -b/2a. The variable b=2 and a=2. That finds the x coordinate of the vertex. Then to find the y coordinate you just plug the number you got for x (-1/2) into the equation. Like so:
y = 2x+2
y = 2(-1/2)+2
y = -1+2
y = 1
So your vertex is ( -1/2, 1 )
To graph your vertex you take your x coordinate (-1/2) and find it on the x axis of the graph (horizontal line). Then do the same for y (1) (on the vertical axis.
Now that you have your vertex graphed you can find out if it is minimum or maximum by looking at the direction in which the slope is going. If it goes in the positive direction (up) then it is a minimum since that is the lowest point that the line touches. If it is maximum it is opposite. The line faces down and the highest point the line touches is that point.
