Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?
1 answer:
Average rate of change of the function:
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is , so
So, the average rate of change in this interval is:
Learn more about rates of change:
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Answer:
a)This solution matches with the original equation and its solution
b)This solution matches with the original equation and its solution
c)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
d)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
Step-by-step explanation:
i) Which scenarios can be solved by 1.5x + 2.25 = 12.75. Select all that apply and note the given solution.
therefore 1.5x = 10.5 therefore x = 7
a) let the number be x
therefore if then the number x = 7.
This solution matches with the original equation and its solution
b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the
number of mile = x, then the number of miles Juan can ride the taxi for
$12.75 is x = 7.
This solution matches with the original equation and its solution
c)if nine quarters of a number, say x, increased by three halves is fifty one
quarters, the number is x = 5,
This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.
d.) If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the
number of mile = x, then the number of miles Juan can ride the taxi for
$12.75 is x = 5.
This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.