Graph y = -2x + 5.
2 answers:
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Each curve completes one loop over the interval 
. Find the intersections of the curves within this interval.
The region of interest has an area given by the double integral
equivalent to the single integral
which evaluates to
.
The region of interest has an area given by the double integral
equivalent to the single integral
which evaluates to
Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
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Keywords: LCM, same day
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