Answer: Option 4
Step-by-step explanation:
The way to tell if a function has an inverse is to see if it passes the horizontal line test (if a horizontal line crosses the graph more than once).
<em>P.S. I hope this helped! Feel free to tell me if I got it wrong, I'll try my best to fix it. </em>
First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
