Ed has $37 and decides that he wants to go out to lunch with his friend Barb. They go out to eat, and when it comes time to pay the bill they decide to split it. It will cost Ed $12 to pay his half. How much money will he have left after he pays his share?
Answer:
The answer is A
Step-by-step explanation:
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 
.
Answer:
2267.97 grams
Step-by-step explanation:
i hope this helps!
Please, do not post more than 1 or 2 questions at a time. Out of courtesy I will address one of your six questions here:
<span>2x + 4 = 3(x – 2) + 1
You are to solve this for x.
1) perform the multiplication: </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms: 4+6-1 = x
3) solve for x: x = 11
4) check: Is 2(11) + 4 = 3(11-2) + 1 true?
Is 22+4 = 33-6 true? NO. Try again, looking for the mistake:
</span><span>2x + 4 = 3(x – 2) + 1 => 2x + 4 = 3x - 6 + 1
4 = x - 5
9 = x
Check: Is 2(9) + 4 = 3(9-2) + 1 true? Is 18+4 = 22 true? YES.
The solution to #1 is x = 9 (answer).
Submit your other questions separately, please.
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