Answer:
1. C
2. B
3. C
4. A
5. D
Step-by-step explanation:
This is a proportion, she is walking 3.3 every hour. She walked for 5.4 hours. And we don't know how far she walked so its x/.54. Then you cross multiply which gives you 3.9×.54=x. We multiply those decimals and we get 1.782.
Answer:
p=15
Step-by-step explanation:
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
length = 14 feet
width = 6 feet
Step-by-step explanation:
A = 84 feet square
ratio of length and width = 7 : 3
total ratio of length and width 10 = a
length = (7/10)a
width = (3/10)a
A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84
a² = 84 x 100 : 21 = 400
a = 20 feet
length = 7/10 x 20 = 14 feet
width = 3/10 x 20 = 6 feet
