Answer:
x≥7
Step-by-step explanation:
6(x-3)/8≥3
Multiply each side by 8/6
8/6*6(x-3)/8≥3*8/6
(x-3)≥4
Add 3 to each side
x-3+3≥4+3
x≥7
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.

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:

(-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.
Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
Answer:
degree 3, binomial
Step-by-step explanation:
the highest exponent is the degree, it's two terms so bi meaning 2 makes it a binomial
Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.
The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft