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:
well this is going to be long, but
1. 0.625
2. -0.136
3. 1.222
4. -5.075
5. -7.455
6. 4.067
7. -9.111
8. -7.833
9. 17/25
10. -1/100
11. -3 99/100
12. 8 149/200
13. 3 1/200
14. -13 3/250
15. -9 49/50
16. -10 113/250
17. your friends snapper is larger, 1320/156 > 1313/156
18. 0.13 > 1/8
19. -1 2/9 < 5/4
20. -5.175 < -5 1/6
21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....
Step-by-step explanation:
sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day
<u>Given</u>:
The given equation is 
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting 
on both sides of the equation, we get;
Subtracting both sides of the equation by 2q, we have;
Dividing both sides of the equation by -1, we have;
Now, substituting the value of 
, we have;
Subtracting the values, we get;
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.
The equation which represents the people that want to visit the museum and the exhibit is 8n+5n.
As you can see, the variable n is present in both terms 8n and 5n of the equation, so we can now factor the equation. You create parenthesis in which you put inside 8+5 and then you throw the variable n outside the parenthesis, and you get at last:
8n + 5n = (8+5)n
Hope this helps! :D
