If f(x) = -3x + 6 and f(x)=18 then what is the value of x?
1 answer:
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Answer:
Part 1) The rate of change is
Part 2) The initial value is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(5,12)and (2,6)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 2
Answer: 1.303639
Step-by-step explanation:
The t-score for a level of confidence is given by :_
, where df is the degree of freedom and
is the significance level.
Given : Level of significance :
Then , significance level :
Sample size :
Then , the degree of freedom for t-distribution:
Using the normal t-distribution table, we have
Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639