Answer:
4 sec
Step-by-step explanation:
let y = 0 which is the height when the rocket hits the ground
-3t^2 + 6t + 24 = 0
-3(t^2 - 2t - 8) = 0
-3(t - 4)(t + 2) = 0
t = 4 or t = -2
time cannot be negative, so t = 4 sec
For this case we must complete squares:

We add the square of half the coefficient of the term "x",
on both sides of the equation:

According to the perfect square trinomial we have:

Rewriting the expression we have:

ANswer:

Answer:
x= -6, y= 10
Step-by-step explanation:
x= y + 4
2x = 3y - 2
If we replace "x" with "y+4" in the second equation we get:
2(y+4) = 3y - 2
2y + 8 = 3y - 2
2y - 3y = -2-8
-y = -10
y = 10
Now we can go back to the first equation and solve for x:
x = y + 4
x = 10 + 4 = 14
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
$7200 in the fund rose 6% n $2800 in the fund rose 9%
Step-by-step explanation:
let x be the amount in the fund rose 6%
gain in one year=x*6%=0.06x
total amount is 10000
so amount in the fund rose 9% = 10000-x
gain in one year=(10000-x)*9%=900-0.09x
total gain=0.06x+900-0.09x=900-0.03x
=684
900-684=0.03x
0.03x=216
x=7200
the other fund amount=10000-7200=2800