Answer:
The last term on the paper after 50 students = 
Step-by-step explanation:
The general term of the equation:
Here, the first term = 1
Second term = 2(1) + 1 = 3 = 4 - 1 = 
Third Term = 2(a2) + 1 = 2(3) + 1 = 7 = 8 -1 = 
Fourth term = 2( a3) + 1 = 2(7) + 1 = 15 = 16 - 1 = 
Continuing this way, we get
Last term : 
So, the 50th term of this sequence is

Hence, the last term on the paper after 50th student changes it = 
Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
1) c) y = 500 * 2^x
In year 1, x = 1 and the population is 500 * 2^1 = 1000
In year 2, this doubles to 500 * 2^2 = 500 * 4 = 2000
ans so on
This model describes the population doubling every year
2)
A) 3 (1/2)^x and C) (0.25)^x
These numbers reduce as x increases because there is a number with an absolute value less than 1 is being raised to the power of x. They also will never totally reach zero or become negative, but will approach zero as x becomes very large.
Answer:
x= -5 or -1
Step-by-step explanation:
subst y = -x + 5 into y = x^2 + 5x + 10
-x +5 = x^2 + 5x +10
x^2 +6x +5 = 0
(x+5)(x+1)=0
x= -5 or -1
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
lmk if you want an explanation