Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or th
e same as the original value.
1 answer:
The scenarios where it is greater than the original; (1) A 100% increase followed by a 33% decrease, (3) A 50% increase followed by a 33
% decrease and (5) a 60% increase followed by a 40% decrease.
The scenario where it is lesser than the original; (3) A 75% decrease followed by a 50% increase.
The scenario in which it is the same as the original; (2) A $20 decrease followed by a $20 increase.
Explanation:
- Assume the original values for all the scenarios are x.
- Scenario 1; A 100% increase is represented by x + 100% and then a 33
% decrease will be x + 100% - 331.666x which is greater than x.
- Scenario 2; A $20 decrease is x - $20 and then a $20 increase will equal x - $20 + $20 = $x, which equals the original $x.
- Scenario 3; A 75% decrease is represented by x - 75% and then a 50% increase will be x - 75% + 50% = x - 25% = 0.75x, which is greater than x.
- Scenario 4; A 50% increase is represented by x + 50% and then a 33
- Scenario 5; A 60% increase is represented by x + 60% and then a 40% decrease will be x + 60% - 40% = x + 20%, 1.2x which is greater than x.
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Answer:
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Step-by-step explanation:
<em>OR</em>
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of <em>sine</em>, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the <em>sine</em> graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the <em>sine</em> graph [photograph on the right] is shifted
to the right, which means that in order to match the <em>cosine</em> graph [photograph on the left], we need to shift the graph BACKWARD
which means the C-term will be negative, and by perfourming your calculations, you will arrive at
So, the sine graph of the cosine graph, accourding to the horisontal shift, is
Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit
from there to
they are obviously
apart, telling you that the period of the graph is
Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the <em>midline</em>. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at
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I am delighted to assist you at any time.
Answer:
Option 1
Step-by-step explanation:
Given : Function f of x equals 4 times one third to the 2 times x power.
To find : Rewrite the function using properties of exponents ?
Solution :
Writing the function in numeric terms,
f of x equals 4 times one third to the 2 times x power
i.e.
Solve the expression,
i.e. f of x equals 4 times one ninth to the x power.
