Answer:
First one
Step-by-step explanation:
y = -3x + 5
Make x the subject
3x = 5 - y
x = (5 - y)/3
Interswitch variables
(f^-1)(x) = (5 - x)/3
= 5/3 - x/3
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
360÷60=60 60 miles per hour 6840÷45=152 152 costumes per day 45.5÷13=3.5 rounded to nearest hundred= 4 4 meters per second $7.40<span>÷5=$1.48 rounded to nearest hundred = 1 $1 per pound</span>
Using it's concept, the standard deviation for the given data-set is of 8.22.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.
The mean for this problem is:
M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21
Hence the standard deviation is:

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602
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Answer: -27/7
Step-by-step explanation: