The function P\left(x\right)=5x+10 P ( x ) = 5 x + 10 represents the total cost in dollars, P\left(x\right) P ( x ) , of buying
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Answer:
- 16
Step-by-step explanation:
Average is calculated as
average =
Thus for the given 10 numbers we have
= - 5 ( multiply both sides by 10 )
total = - 50
let the number added be x, then
= - 6 ( multiply both sides by 11 )
total + x = - 66, that is
- 50 + x = - 66 ( add 50 to both sides )
x = - 16
The new number is - 16
<u>Given</u>:
The given graph passes through the points (-3,4) and (3,2)
The x - axis represents the years. The value x = 5, year 2015.
We need to determine the y - value for 2010.
<u>Slope</u>:
The slope of the line can be determined using the formula,
Substituting the points (-3,2) and (3,2), we get;
Thus, the slope of the line is
<u>y - intercept:</u>
The y - intercept in the graph is the point in the line that crosses the y - axis.
Thus, from the graph, it is obvious that the y - intercept is b = 3.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Thus, the equation of the line is
<u>The y - value for 2010:</u>
Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.
Hence, the value of x for 2010 is given by
Thus, x = 0 represents the year 2010.
To determine the y - value, let us substitute x = 0 in the equation , we have;
Thus, for 2010 the value of y is 3.