A(n)=a(1)+d(n-1), d=a(16)-a(15)=-5-(-53)=48
a(15)=a(1)+d*(15-1),
-53=a(1)+48*(15-1),
a(1)=-53-48*14= -725
a(n)=-725+48(n-1)
Answer:
Option D.
Step-by-step explanation:
Consider option D. 
Take point (0,0)
On putting this point in inequation
, we get
which is true . So, solution is region towards the origin i,e region below the line
including the line itself .
On putting (0,0) in inequation
, we get
which is false , so solution is region away from the origin i.e region below line
including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations: 
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
Answer:
3n + 12 = 45
Step-by-step explanation:
3n + 12 = 45
3n = 45 - 12
3n = 33
n = <u>3</u><u>3</u>
3
n = 11