The next term in the sequence is double the previous term . so it would be the 3rd option (48,96,192)

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction
8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})
goes to

now we can simplify the multiplied terms

Now that we have common bases, we can add the 2 fractions together to get

Answer: D) -5/6 < -3/5 < -4/7 < -4/9
Step-by-step explanation:
Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.
slope intercept form
y -y1 = m(x-x1)
y-3 =1/4 (x-4)
distribute
y-3 =1/4 x-1
stand form of a line is Ax +by =c
so subtract 1/4 x from each side
y -3 -1/4 x =-1
add 3 to each side
y-1/4 x =2
-1/4 x +y =2
I would multiply by -4 on both sides to make the 1st term positive and get rid of the fraction
x -4y = -8
Find the slope of the line that crosses through the points (-3, -4) and (2, -3).
slope = (y2-y1)/(x2-x1)
m = (-3--4)/(2--3)
m = (-3+4)/(2+3)
m =(1/5)
m=1/5