Answer:
6825
Step-by-step explanation:
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
The slope intercept form of equation of required line is y = 3x + 9
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If
is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = 
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 3
The line passes through (8, 33)
Equation of required line
y - 33 = 3(x - 8)
y - 33 = 3x - 24
y = 3x - 24 + 33
y = 3x + 9
To learn more about equation of line in slope intercept form, refer to the link:
brainly.com/question/25514153
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Answer:
x=-3
Step-by-step explanation:
-2x2=-4
-4-16x-44=0
combine like terms (-4,-16)
-48-16x=0
move the 16x to the other side of the equal sign (add 16 since its -)
-48=16x
you need x alone so you need to divide by 16
-3=x