Sometimes it helps to put a number line in front of you. If one number is to the left of the other number on the number line, it's a lower number. If one number is to the right of the other number on the number line, it is greater.
-5 -4 -3 -2 -1 0 1 2 3 4 5
4 is a solution of x<-5
FALSE: 4 is not greater than -5
-3 is a solution of y>-2
FALSE: -3 is not greater than -2
y≤3 includes 3 as a possible solution
TRUE: 3 is less than OR EQUAL to 3
Hope this helps! :)
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:
brainly.com/question/24850937
#SPJ1
Answer:
52 weeks
Step-by-step explanation:
The club starting with $270 (club 1) is increasing their bank balance each week by ...
... $280 -270 = $10
The club starting with $10 (club 2) is increasing their bank balance each week by ...
... $25 -10 = $15
Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...
... $260/($5/week) = 52 weeks
_____
The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.
