50 divide to find the answer
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.
![0=-16t^2+24t](https://tex.z-dn.net/?f=0%3D-16t%5E2%2B24t)
We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a <em>t</em>, so we can factor that out as well:
![0=8t(-2t+3)](https://tex.z-dn.net/?f=0%3D8t%28-2t%2B3%29)
(-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.
Answer:
1. The given equation does not have root at x = - 3.
2. (x - 3) (x + 1) (x² + 4) = 0
This curve will intersect twice the x-axis.
Step-by-step explanation:
1. If the right hand side of the equation
......... (1) becomes same as the left hand side by putting x = - 3, then only we can conclude that x = - 3 is a root of the equation.
But in this case
.
Therefore, x = - 3 is not a root of the above equation (1).
2. The equation of the polynomial with roots 3, -1, 2i, and -2i is
(x - 3) (x + 1) (x - 2i) (x + 2i) = 0
⇒ (x - 3) (x + 1) (x² + 4) = 0 (Answer)
Therefore, the graph of the above curve will intersect twice the x-axis in a real coordinate plane, at x = 3 and at x = -1. (Answer)
If you want to solve the system of equations it will be:
Step 1: solve the equation for y
y= -19+7 → y= -12
Step 2: substitute y into the equation
-2x+3x(-12)=-19
Step 3: solve the equation for x
x= -17/2
Step 5: the possible solution is the order pair (x,y)
Answer: (-17/2 , -12)
Hello :
<span>f (z+5) = (z+5) -1 = z+4</span>