A and E, they are basically at the same point around
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
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0.04 because if you divide it you get 0.04
In a standard set of cards, the probability of drawing a red card or a face card is 73%
<h3>What is the probability?</h3>
In a standard deck of cards, there are 26 red cards. In that same deck, there will be 12 face cards.
The probability of picking either one is:
= (Number of face cards + Number of red cards) / Number of total cards
Solving gives:
= (12 + 26) / 52
= 38 / 52
= 73%
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Answer:
1) 
.
2) 
years
Step-by-step explanation:
Let Hanna's sister be 
years old.
Then Hanna will be 
years old.
The sum of their ages will be 
years.
The statement "no more than 18" means the sum of their ages is less than or equal to 18.
The required inequality is;
.
2)
The inequality we just found is
.
We simplify to get;
.
we divide both sides by 
to get;
.
Therefore the oldest age Hannah's sister can be is years
