Answer:
D. -1/8
Step-by-step explanation:
6 - 34 + 96 - 384 +...
a 1 = 6 , a 2 = a 1 * ( - 4 ) , a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...
a 5 = - 384 * ( - 4 ) = 1,536
a 6 = 1536 * ( - 4 ) = - 6,144
a 7 = - 6,144 * ( - 4 ) = 24,576
This is a sum of a geometric sequence:
S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662
Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
= 6 * (-16,385) / (-5 ) = 19,662
1957 avg rate of 500,000 per every person
Answer:
Step-by-step explanation:
Using the equation of line
y - y_1 = m(x - x_1)
y = mx + C
First first the slope of the equation
y = 9x - 4
Note: if two lines are perpendicular, their slope will be negative reciprocal
Slope = 9, but because it is perpendicular
m = -1/9
Using the equation
y - y_1 = m(x - x_1)
With the point (-9,-17)
x_1 = -9
y_1 = -17
y - (-17) = -1/9(x - (-9)
y + 17 = -1/9(x + 9)
y = -1/9(x + 9) - 17
Open the bracket.
y = (-x -9)/9 - 17
Lcm is 9
y = -x -9 - 153 / 9
y = -x - 162 / 9
Let's separate
y = -x/9 - 162/9
y = -x/9 - 18
y = -1/9x - 18
Therefore, the equation of the line is y = -1/9x - 18
