Answer: m=
1
3
√2 or m=
−1
3
√2
Step-by-step explanation:
This system can be a bit tricky unless you write it out:
(2n + 2)(2n - 2) ~ First you have to take one variable and multiply it to each of the other two variables, like:
2n * 2n ~ And:
2n * -2 ~ This gives you:
4n^2 - 4n
Now we do this with the other:
2 * 2n
2 * -2
4n - 4
Now we combine them both while adding like terms:
4n^2 - 4
Therefore your answer is: A. 4n^2 - 4
(This is due to how when having the positive 4n subtracted by the negative it cancels it out. Leaving us with the remaining two terms left.)
I hope this helps, have a great rest of your day! ^ ^
~Ghostgate
9.) Answer: B. f(x) = 4 - x
Explanation/Proof:
If we substitute, the answers are correct.
f(x) = 4 - (1)
f(x) = 3 ✅
f(x) = 4 - (2)
f(x) = 2 ✅
And so on and so forth.
9x^2 + 18x + 9 = 5
9(x^2 + 2x +1) - 5 = 0
x^2 + 2x - 4 = 0
Then use the quadratic formula.
Answer:
a) 86%
b) 2nd unit = 82 hs.
3rd unit = 75 hs
c) 100th unit = 36 hs
Step-by-step explanation:
We can model the learning curve for manufacturing the units as:

where t is the time for the Xth unit, and a and b are parameters that we will calculate from the data,
We know that t(1)=95. Then, we have:

And we know that the fourth unit (X=4) take 71 hours to be completed (t(4)=71). Then, we can calculate the other parameter as:

We have the model for the learning curve:

The learning rate percentage is calculated from the b parameter:

The learning rate percentage is 86%.
b) The most likely times required for the 2nd and 3rd units are calculated with the model:

c) If we use the model to calculate the time required for the 100th unit, we have:
