Answer:
Range: 1 > x > 3
Step-by-step explanation:
We are given then function;
y = x³ - 6x² + 9x + 5
dy/dx = 3x² - 12x + 9
We want to find the range of values of x for which dy/dx > 0
Thus;
3x² - 12x + 9 > 0
Using quadratic formula, we have;
x = 1 and x = 3
Let's define the range;
try x = 0
3(0²) - 12(0) + 9 = 9
This is more than 0, so it is part of the solution.
Let's try x = 4
3(4²) - 12(4) + 9 = 9
This is more than 0 so it is part of the solution
Let's try x = 2
3(2²) - 12(2) + 9 = -3
This is less than 9 and so it's not part of the solution.
Thus the range of values of x for which dy/dx > 0 is;
1 > x > 3
The answer is A.30%
The way I did this problem was from a number line. I don't have a one: so I'll just make one.
10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
So, what you do here is you take out 30% because those are NOT tornadoes fans. 10% 20% 30% 40% 50% 60% 70% .
It says that 40% are girls so... 10% 20% 30%.
Hope you get it right!
The confidence level would be 99.5%.
When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.
Algebraically, this looks like:
Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
To begin solving this, we will subtract 1 from both sides:
We will now multiply both sides by 2:
Subtract 1 from both sides:
Multiply both sides by 100:
CL = 99.5
Answer:
The system has no solutions
Step-by-step explanation:
we have
-----> equation A
----> equation B
Isolate the variable y in the equation A
-----> equation A'
Isolate the variable y in equation B
------> equation B'
Compare the equations A' and B'
The lines have the same slope but different y-intercept
Are parallel lines
therefore
The system has no solutions
Answer:7x=7x
f (3)+ g (3) = 30
Step-by-step explanation:
Use the given functions to set up and simplify
7x=7x
f (3)+ g (3) = 30
Hopefully this is what you were talking about