X=10 because you have to divide 481.65 by 39 which is 12.35, then subtract 2.35 and then you get 10=x
Answer:
B
Step-by-step explanation:
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
600/6 = 100
This is how many numbers Candy counted overall.
100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
Choice A) .
Step-by-step explanation:
What are the changes that would bring to ?
- Translate to the left by unit, and
- Stretch vertically (by a factor greater than .)
. The choices of listed here are related to :
- Choice A) ;
- Choice B) ;
- Choice C) ;
- Choice D) .
The expression in the braces (for example as in ) is the independent variable.
To shift a function on a cartesian plane to the left by units, add to its independent variable. Think about how , which is to the left of , will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by units, subtract from its independent variable.
For example, is unit to the left of . Conversely, is unit to the right of . The new function is to the left of . Meaning that should should add to (rather than subtract from) the independent variable of . That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between and zero will flip its graph about the -axis. Doing so will also compress the graph vertically.
- Multiplying a function by a number that is less than will flip its graph about the -axis. Doing so will also stretch the graph vertically.
The graph of is stretched vertically. However, similarly to the graph of this graph , the graph of increases as increases. In other words, the graph of isn't flipped about the -axis. should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points 's that are on the graph of fit into the expression .
Before it rebounds n times we have the inequality
36 (3/4)^n < 1
(3/4)^n < 1/36
n ln 3/4 < ln 1/36
n < ln 1/36 / ln 3/4
n < 12.46
so n = 12
answer is 12 bounces