Answer:
x=2
Step-by-step explanation:
5 ( x - 2) + 4 ( 3 + x) = 20
Distribute
5x -10 +12 +4x = 20
Combine like terms
9x +2 = 20
Subtract 2 from each side
9x+2-2 = 20-2
9x = 18
Divide each side by 9
9x/9 = 18/9
x = 2
Answer:
6a + 24
Step-by-step explanation:
-12a + 24 + 18a = 6a + 24
Answer:
Yes
Step-by-step explanation:
32 divided by 45 = .7111111111111111111
Answer:3(-4f-g(to the power of -2)
Step-by-step explanation:
3(-fx4-g(to the power of -2) reorder and get solution.
Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
