<span>First note that y cannot equal -7 or -1 as division by zero is undefined. So that if it comes up in our solution we know that it is not a real solution.
[(y+4)/(y+7)]+1=(y+3)/(y+1) make the left side have a common denominator
(y+4+y+7)/(y+7)=(y+3)/(y+1) combine like terms on left side
(2y+11)/(y+7)=(y+3)/(y+1) cross multiply
(2y+11)(y+1)=(y+3)(y+7) expand
2y^2+13y+11=y^2+10y+21 subtract y^2 from both sides
y^2+13y+11=10y+21 subtract 10y from both sides
y^2+3y+11=21 subtract 21 from both sides
y^2+3y-10=0 expand so factoring is easier
y^2-2y+5y-10=0 factor
y(y-2)+5(y-2)=0 which is equal to
(y+5)(y-2)=0
y=-5 or 2</span>
Answer:
The slope of any horizontal line is 0!
Step-by-step explanation:
Answer:
15,136 hands off with cards contain exactly three queens and three jacks.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Standard deck:
4 queens and 4 jacks.
The other 52 - 8 = 44 cards are neither queens nor jacks.
Wow many hands off with cards contain exactly three queens and three jacks?
3 queens from a set of 4.
3 jacks from a set of 4.
2 other cards(not queens neither jacks) from the other 44. So

15,136 hands off with cards contain exactly three queens and three jacks.
Let's assume initial population is in 1999
so, production of passenger cars in Japan is 3.94 million in 1999
so, P=3.94 million
and the production of passenger cars in Japan is 6.74 million in 2009
so, A=6.74 million in t=2009-1999=10 years
now, we can use formula

here , r is interest rate
so, we can plug values

now, we can solve for


so,
the geometric mean annual percent increase is 5.516%............Answer