Answer:
...............
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
x =
=
=
= 2
Answer:
Step-by-step explanation:
The worth of a penny is 1 cent = 1/100 = $0.01
The worth of a nickel is 5 cents = 5/100 = $0.05
Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that
6.999999999999999 + x ≥ 15
x ≥ 15 - 6.999999999999999
x ≥ 8
If the 15 coins worth a minimum of $0.47combined, it means that
0.05(6.999999999999999) + 0.01x ≤ 0.47
0.35 + 0.01x ≤ 0.47
0.01x ≤ 0.47 - 0.35
0.01x ≤ 0.12
x ≤ 0.12/0.01
x ≤ 12
Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12
Average rate = [h(3) - h(0)]/(3 - 0)
h(3) = 300 - 16(3)^2 = 300 - 16(9) = 300 - 144 = 156
h(0) = 300 - 16(0)^2 = 300
average rate = (156 - 300)/3 = -144/3 = -48
Therefore, the object falls with an average rate of 48 ft/s during the first 3 seconds.