Answer:
2,058
Step-by-step explanation:
first term : a_1 = 6
common ratio r = 7
a_n = (a_1) * r ^(n-1)
a_4 = 6 * 7^(4-1)
a_4 = 6 *7^3
a_4 = 6 * 343 = 2,058
the one strip is a whole fraction strip and the others are just part of the whole
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
16/5= 3 1/5
Rational
Irrational numbers never end and can't be written as a fraction. Ex. pi