You can FOIL (First, Outside, Inside, Last)
(3z+1)(4z+2)
First
(3z+1)(4z+2)
3z * 4z
Outside
(3z+1)(4z+2)
3z * 2
6z
Inside
(3z+1)(4z+2)
4z * 1
4z
Last
(3z+1)(4z+2)
2*1
2
Combine all the products of FOIL together
+ 6z + 4z + 2
Combine like terms
+ 10z + 2
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
6x^2
Step-by-step explanation:
Answer:
a) 5/21
b) 4/21
c) 4/21
d) 8/21
Step-by-step explanation:
total number of coins: 21
a) number if dollars: 5
therefore fraction is 5/21
b) number of quarters: 4
therefore fraction is 4/21
c) number of dimes: 4
therefore fraction is 4/21
d) number of nickels: 8
therefore fraction is 8/21
Answer:
Total possible number of outcomes = C(24,6) [24 choose 6]
=24!/(6!18!)
= 134596
Out of which there is only one winning combination.
Therefore we conclude:
P(win 20000)=1/134596
P(lose 1)=134595/134596
and hence the expected value is:
20000*(1/134596)+(-1)*(134595/134596)
=-114595/134596
=-0.8514 (rounded to four places after decimal)
Step-by-step explanation:
Hope this helped!
Answer:
D 12
Step-by-step explanation:
The product of the lengths of the segments of one chord equal the product of the segments of the other.
x*4 = 6*8
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
