The remainder theorem tells you that when you do synthetic division with the 6, the remainder will be the same value as when you evaluate the function with the value of 6.
The answer is 15
write the equation of the line through the points (-3,3) and (7,5) in slope-intercept form. what is the y-intercept
2 answers:
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To find the inverse we have to first change the function notation to 'y'
So
f(x) = -x becomes y = -x
Next, we have to switch the x and y values
So, y = -x becomes x = -y
Now, we have to solve for y.
y = -x
So the inverse of f(x) = -x is:
So
f(x) = -x becomes y = -x
Next, we have to switch the x and y values
So, y = -x becomes x = -y
Now, we have to solve for y.
y = -x
So the inverse of f(x) = -x is:
Answer:
Lower confidence limit = 20.191
Step-by-step explanation:
Sample mean; x' = 22
Sample standard deviation; s = 5.5
Sample size; n = 50
Confidence interval = 99%
Since sample size > 30, we will use the formula;
CI = x' ± zs/√n
Where;
x' is sample mean
s is sample standard deviation
n is sample size
z is z-value of the confidence interval
From the table attached, z for 99% = 2.3263
Thus;
CI = 22 ± (2.3263 × 5.5)/√50
CI = 22 ± 1.809
CI = 23.809 or 20.191
Lower confidence limit = 20.191
Answer:
The equation to find the answer is .
It has been 5 days since Karen has set her watch.
Step-by-step explanation:
Given:
Karen set her watch 1 second behind
So we will consider;
First term 'a' = 1 second
Also Given :
it falls behind another 2 seconds every day.
So we can consider;
Common difference = 2
We need to find number of days it has been 9 seconds since Karen last set her watch
Solution:
Let number of days be represented by 'n'.
Also Let
Now By Applying formula for Arithmetic Progression we get;
Substituting the given values we get;
Hence The equation to find the answer is .
On Solving the above equation we get;
Subtracting both side by 1 we get;
Now Dividing both side by 2 we get;
Adding 1 on both side we get;
Hence It has been 5 days since Karen has set her watch.