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)
An observation study is where nothing changes and you record what is seen. An experimental study you have a control group and a testable group.
The answer would be: .C. The groups in an experiment are chosen at random, but not in an observational study.
7<n<8 is the right answer
Answer:
5:24
Step-by-step explanation:
We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have
90:432
Simplification:
Dividing both sides by 2 we obtain
45:216
Dividing both sides of the above ratio by 3 we obtain
15:72
Dividing both sides of the above ratio further by 3 we obtain
5:24
Therefore, rhe simplified ratio of rebounds ro steals is 5:24
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
