The coordinates of the vertex are (3, -13) and the axis of symmetry is at x = 3.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-6). Then we can plug in to find the x term.
-(-6)/2(1)
6/2
3
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 6x - 4
3^2 - 6(3) - 4
9 - 18 - 4
-13
Now we know that the vertex is at (3, -13). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 3.
Y=1.3x+10 source: many years of high school/college math
Independent. The second event is not affected by the first event. Such as, if you pick up a card without replacement.
Answer:
3,6have you are not the same as the one that is why
Let x = the number of boys.
Let y = the number of girls.
There are 48 children, therefore
x + y = 48 (1)
There are twice as many boys as girls, therefore
x = 2y (2)
Substitute (2) into (1).
2y + y = 48
3y = 48
y = 48/3 = 16
x = 2y = 2*16 = 32
x=32, y = 16
Answer: 16 girls