h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So
divide whole equation by -16
we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
80 tickets have been given out
50*.4=20
50*.6=30
30*2=60
60+20=80
Answer:
B and E
Step-by-step explanation:
A. 8x = 2
8(4) = 2
32 = 2
B. 19 + x = 23
19 + 4 = 23
23 = 23
C. 40/x = 5
40/4 = 5
10 = 5
D. -3x = 12
-3(4) = 12
-12 = 12
E. x - x - x - x = -8
4 - 4 - 4 - 4 = -8
0 - 4 - 4 = -8
-4 - 4 = -8
-4 + (-4) = -8
-8 = -8
Answer:
The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70
Step-by-step explanation:
The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.
The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.
The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70
One gallon is equivalent to 128 fluid ounces
3 gallons is equivalent to 3*128 fluid ounces
= 384 fluid ounces
One plastic cup can hold 12 guide ounces
So cups needed will be 384/12
32 cups
