Answer: x < 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
7x−9<12
Step 1: Add 9 to both sides.
7x−9+9<12+9 =7x<21
Step 2: Divide both sides by 7.
7x/7 < 21/7
Answer: x < 3
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:
40
Step-by-step explanation:
(35/100) of X = 14
X = 14 × 100/35
X = 14 × 20/7
X = 40
For a quarter of the batch of cookies it requires a quarter of a third