1. The usable domain of the function is the time period from when the object was dropped (t=0) to when it hits the ground (h(t) = 0, at t=3). The appropriate choice for domain is ...
2) 0 ≤ t ≤ 3
The appropriate choice for range is the range of heights the object may have:
3) 0 ≤ h(t) ≤ 144
2. The domain is a count of people, ...
1) positive integers
The domain is an amount of money, ...
2) positive real numbers
(0,4) is the y intercept
Hope this helps :)
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
This one actually made me think. I like your teacher.
2h 30min (2.5)×30mph=75m
1h 30min (1.5)x50mph=75m
1 hour longer when driving to Arkansas
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11h 12min (11.2)×300mph=3360m
4h 48min (4.8)×700mph=3360m
11h 12min from NY to Paris.
