For y=x^2-6x-11
complete the square
so roots
set y=0
0=x^2-6x-11
group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots
+/-2√5=x-3
add 3 to both sides
3+/-2√5=x
so
x=3+2√5 and 3-2√5
Answer:
communitive property of addition
Step-by-step explanation:
The community property of addition states: a+b=b+a
This basically means that when you add two numbers, the order of when you add them does not occur.
A=2000(1+.05)^4
A=2000(1.05)^4
A= $2,431.01
After 4 years there will be $2,431.01 in the account.
1 1/2
Hoped this helps! Mark as branliest if possible!
The volume of the mineral = increase in volume of the water whuich is 16 - 8 = 8mls.
Therefore the mineral's density = 9.6 / 8
= 1.2 g/ ml answer
