Answer:
a7 = 36
Step-by-step explanation:
Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)
a1 = 12
using the recursive formula given in the question
a2 = 12 + 4 = 16
a3 = 16 + 4 = 20
a4 = 20 + 4 = 24
a5 = 24 + 4 = 28
a6 = 28 + 4 = 32
a7 = 32 + 4 = 36



Maximum number of packets = 8
16 ÷ 8 = 2
There are 2 pencils in each packet.
24÷8 = 3
There are 3 erasers in each bag.
Rosy can have a maximum of 8 packets. Each packet has 2 pencils and 3 erasers.
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by

Dividing, we have,

Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are
and 
Thus, substituting the coordinates in the slope formula, we get,

Simplifying, we have,

Thus, the slope of the graph is 
1 Factor completely.
p2+7p+10 = (p + 5)(p + 2)
2 Factor completely.
x2+10x+16 = (x + 4)(x + 6)
3 Factor completely.
x2+7x−18 = (x + 9)(x - 2)
4 Factor completely.
x2−5x−24 = (x - 8)(x + 3)
5 Factor completely.
x2−3x−40 = (x - 8)(x + 5)
9513 rounded to the nearest thousandth is 10,000.
I hope that helped! :>