Recall that
There are three cases to consider:
(1) When
, we have
and
, so
(2) When
and
, we get
and
, so
(3) When
, we have
and
, so
So
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
<h2>Answer:</h2>
<u>The value of the notebook in 2014 is </u><u>$980</u><u>.</u>
Why not draw the graph of y=|x|? It has a v-shape, and the vertex is at (0,0).
The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward. The smallest value that y can have is therefore -3.
Can you now figure out the range of f(x)?
Start by multiplying b to both sides of the equation to get rid of the fraction. Now you have: Ub = ak.
To isolate a, divide both sides of the equation by k. 
= a is the final answer.
Substitute y in the first equation.
-8x = -x - 14
+x +x
-7x = -14
-7x/-7 = -14/-7
x = 2
Now solve for y.
y = -18(2)
y = -36
Answer: (2, -36) or y = -36 and x = 2
