Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows

Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

So :

Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
====
You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
You simply need to find the price of one orange at each store, and multiply that by 30.
Store A: 5/3= around $1.67= 1.67*30= $50.10
Store B: 3/2= $1.50= 1.5*30= $45.00
Store C: 9/5= $1.80= 1.8*30= $54.00
Store D: $1.25= 1.25*30= $37.50
As you can see above, at Store D, 30 oranges would only cost $37.50, making it the cheapest store to buy oranges.
I hope this helps :)
Answer:
A
Step-by-step explanation:
it's A cuz it's the answer (I'm 99.9 percent sure)