The slopes of perpendicular lines are opposite and reciprocals.
Answer:
The graph of g is the graph of f shifted up by 3 units.
Step-by-step explanation:
Consider the graph of a function r with real numbers k and h.
Transformation Effect
r(x) + k shifts the graph up k units
r(x) - k shifts the graph down k units
r(x + h) shifts the graph to the left h units
r(x - h) shifts the graph to the right h units
It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.
Answer:
$24
Step-by-step explanation:
For a markup, use the formula <em>a = ( 1 + p ) × w. </em>
!!! Remember, <em>a </em>is the selling price, and <em>w </em>is the original price !!!
!!! The <em>p </em>is the percent in decimal form. 20% as a decimal is 0.20 (move the decimal twice to the left) !!!
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Inserting the values, it should look like <em>a = ( 1 + 0.20 ) × 20 </em>
<em>a = 1.20 × 20 </em>
<em>a = 24</em>
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Hence, the new selling price is $24.
Hope this helps! :)
Answer:
The square root of -100 is 10i
Step-by-step explanation:
Answer: The correct option is (A) 
Step-by-step explanation: Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.
We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.
Also, we are to find the number of weeks.
The number of weeks it will take Raymond to have only 24 books left is represented by 'w'.
We have
number of books read by Raymond is 1 week = 3.
So, number of books read by Raymond is w weeks = 3w.
Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be

According to the given information, we get

thus, the required equation is
and number of weeks is 32.
Option (A) is correct.