Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
Answer:
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Answer:
2/7<4/5<5/6<7/9
Step-by-step explanation:
Answer:the cost for 40 children to attend along with 5 adult tickets = $ 417.55
Step-by-step explanation:
It costs 135.25 for 15 child tickets to the museum. Let us determine the cost per child ticket to the museum.
cost per child ticket to the museum.
= total cost of 15 child tickets / number of child tickets.
= 132.25 / 15 = 8.82
Adult tickets cost 12.95 each.
The cost of 40 child tickets is
40 × 8.82 = $352.8
The cost of 5 adult tickets = 5 × 12.95
=$ 64.75
the cost for 40 children to attend along with 5 adult tickets would be
352.8 + 64.75 = $ 417.55
Answer: 1 to 8
Reason: because there’s 1 of 8 items is the same ratio
