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 
.
you can use 3 quarters and 2 pennies
Answer:
her bank statement will show that she has $144 less than her checkbook balance
Step-by-step explanation:
let the amount of money in the bank before writing the check be x
after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)
However, the bank correctly records the debit of the $72, resulting a balance of: $(x-72)
Hence compared to her checkbook, the bank records will show an amount difference of :
(x-72) - (x + 72)
= x - 72 -x -72
= -144
i.e her bank statement will show that she has $144 less than her checkbook balance
<span><em />
3x+y=5</span>
<span /><span>2x-2y=22 ...............2(x-y)=22 ⇒ x-y=11</span><span><em /></span>
<span><em>3x+y=5</em></span>
<span /><span><em><u>x-y=11 </u> </em>(+)</span>
<span />3x+x+y-y=11+5
<span>4x=16 /:4</span>
<span /><em>x=4</em>
x-y=11
4-y=11
-y=7 /*(-1)
<em>y=-7</em>
<span><em></em></span>
