Answer:
b=(2a-1)/(3a-1)
Step-by-step explanation:
a=(b-1)/(3b-2)
3ab-2a=b-1
3ab-b=2a-1
b(3a-1)=2a-1
b=(2a-1)/(3a-1)
Multiplicity
is how many times the root repeats
roots
r1 and r2 of a polynomial factor to
(x-r1)(x-r2)
so 3
multiplicty 2 means (x-3)^2 is in the factorization of that
polynomial
also,
for a polynomial with real coefients, if a+bi is a roots, a-bi is
also a root
5i is
a root, therefor -5i is a root as well
roots
are
(x-5i)(x+5i)(x-3)^2
if we
expand
x^4-6x^3+34x^2-150x+225
the
polynomial is
f(x)=x^4-6x^3+34x^2-150x+225
Answer:
5/9
Step-by-step explanation:
What we have in this question are four white balls and 5 red balls.
This is the sample space
[(4w,0R) (4w,1R)(4w,2R)(4w,3R)(4w,4R)(0w,5R)(1w,5R)(2w,5R)
So we have 9 possible sets of events
The event number with the last ball being white = 5
Probability of the last ball drawn being white = 5/9
= 0.56
Answer:
A) 130
Step-by-step explanation:
(2x + 18) + y = 180 <--- Is True
(4x - 14) + y = 180 <--- Is True
(2x + 18) + y = y + (4x - 14)
(2x + 18) = (4x - 14)
2x + 18 = 4x - 14
-2x + 18 = -14
- 18 - 18
-2x = -32
x = 16
2(16) + 18 = 50
4(16) - 14 = 50
180 - 50 = 130
Multiply
(x+a)(x+b) = x^2 + bx + ax + ab
looking at; x^2 + 10x + 24
can you see that
ab = 24
bx + ax = 10x
then
a + b = 10
use substitution: a = 10 - b
(10-b)b = 24
10b - b^2 = 24
-b^2 + 10b -24 = 0
now find the values for b using the quadratic equation. I'm on my phone so you'll have to plug the numbers in. let me know if you have any questions.
