For the graphed exponential equation, calculate the average rate of change from x = −2 to x = 1.
2 answers:
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The solution of the system of linear equations is ,
.
The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.
<h2>Procedure - Determination of the number of people assisting to a movie</h2><h2 /><h3>Construction of the system of equations</h3><h3 />In this question we need to construct a linear function for the total of people that assisted to the evening show and for the total of people that assisted to the afternoon matinee. The system of equations is described below:
Evening show
(1)
Afternoon matinee
(2)
Where:
- Number of children that assisted.
- Number of adults that assisted.
By algebraic means we find the following result associated with the system of equations:
,
The graphic representation of this system is described in the image attached below.
The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.
To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472
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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