Answer:
H = 60(3/4)^x
Step-by-step explanation:
After each bounce, the height it reach is 3/4 the previous one.
Let the height of nth bounce be denoted as h_n and the first bounce is h_1.
We are given that h_1 = 60 cm. Following the rule in the problem, we get:
h_2 = (3/4)h_1 = (3/4)60
h_3 = (3/4)h_2 = (3/4)*(3/4)60 = 60(3/4)^2
h_4 = (3/4)h_3 = (3/4)*60(3/4)^2= 60(3/4)^3
We see that h_n = 60(3/4)^n is the formula for the height for the nth bounce. Therefore, H = 60(3/4)^x is the answer.
I hope this helps! :)
The answer must be 48 cubic inches
Answer:
85 + z <= x <= 255 + z
Step-by-step explanation:
An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:
For the lower limit:
8.5 * h + z, knowing that in this case it is 10 hours.
85 + z would be the lower limit value
For the upper limit:
8.5 * h + z, knowing that in this case it is 30 hours.
225 + z would be the upper limit value
Therefore the inequality system would be as follows, let x be the money earned:
85 + z <= x <= 255 + z
Which means that the money earned will be determined by the previous inequality.
