<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:
Lily is correct.
An example of a working solution to this problem is: 6/3 + 1/2 + 4/8.
Step-by-step explanation:
An integer is essentially a whole number(is not a part), but with negative numbers as well. Given whole numbers from 1 to 9, This can be an integer because an integer <u>includes</u> whole numbers.
A bag contains three red marbles, six blue marbles, and three yellow marbles.
therefore total no. of marbles = 3 + 6 + 3 = 12
total no. of red marble = 3
therefore probablity of selecting one red marble is 3/12 = 1/4
again total no. of blue marbles is 6
therefore probability of selecting one blue marble is 6/12 = 1/2
now total probability of selecting one red ball replacing it then selecting one blue marble is. 1/4 * 1/2 = 1/8
Answer:
20.7%
Step-by-step explanation:
Amount of stock increased in Company A = 20% of 1790
= 0.20 * 1790 = $ 358
Investor's stock in company A this year = 1790 + 358 = $ 2148
Amount of stock increased in Company B = 22% of 1000
= 0.22 * 1000= $ 220
Investor's stock in company B this year = 1000 + 220 = $ 1220
Total amount in investor's stock account = 2148 + 1220 = $ 3368
Increased amount = 3368 - 2790 = $ 578
Increase percentage = 
= 20.71
= 20.7%
