The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the
1 answer:
Answer:
40% . The single reduction together is 40%.
Step-by-step explanation:
Let the bicycle cost is x before reduced price.
First 25% is reduced and again 20% further reduced.
Let the single reduction is y% if the two reduction together are equal.
Solution,
Case .1
reduction cost%
The cost of bicycle after reduction of 25% is
cost of reduction further reduction of 20% %
The new cost of bicycle is further reduction of 20% is
Case.2
if single reduction is done new cost of cycle is equal
%=
%
single reduction of a cycle is 40%
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Answer:
Step-by-step explanation:
Let's start with the original function.
We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4 respectively.
Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:
Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:
This function has vertical shift -2, phase shift -4/3 , amplitude 4, and period 4
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Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.