Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
Answer:
x= -2/3
Step-by-step explanation:
9x + 6 = 0
9x= -6
x= -6/9
x= -2/3
Answer:
52
Step-by-step explanation:
Given the the equation h(t) =-
where t is the time in second
So to find the ball's maximum height we can apply the vertex formula:
t=
to find the "x" value of the vertex, then plug that value into the original equation as a substitute for "x".
Standard quadratic form is:
=> a=15, b=30 in our given equation
<=> t =
When t =-1 we have h(t) =
= 52
So the ball's maximum height is: 52
Hope it will find you well.
Step-by-step explanation:
x+5/2+x×3=20
2(x+5)+2(x×3)=2(20)
2x+10+2x×6=40
2x+2x=(-10+40)/6
4x=30/6
4x=5
x=5/4
x=1.25