Answer:
41. <u>(2) x² - 3x - 4 =0</u>
Step-by-step explanation:
<u>Question 41</u>
<u>Standard form of polynomial</u>
- x² - (sum of roots) + product of roots = 0
- <u>(2) x² - 3x - 4 =0</u>
d = 2*3 -10 = -4
The n-th term of the sequence is
.. t[n] = 3 +d(n -1) = 7 -4n
Answer:

Where
represent the half life and the intial amount would be 
And we want to find the time in order to have a 95% of decay so we can set up the following equation:

If we apply natural log on both sides we got:

And solving for t we got:

So then would takes about 14.26 hours in order to have 95% of the lead to decay
Step-by-step explanation:
For this case we can define the variable of interest amount of Pb209 and for the half life would be given:

Where
represent the half life and the intial amount would be 
And we want to find the time in order to have a 95% of decay so we can set up the following equation:

If we apply natural log on both sides we got:

And solving for t we got:

So then would takes about 14.26 hours in order to have 95% of the lead to decay
The slope of a line in form ax+by=c is -a/b
the yint of the line is c/b
so
-6x-5y=15
slope=-(-6)/-5=6/-5=-6/5
yint is 15/-5=-15/5=-3
slope=-6/5
yint is -3
or you could just do slope intercept and solve for y
y=mx+b
m=slope
b=yintercept
slope=-6/5
yint is -3