Answer:
The answer to your question is the letter b) y = -3x + 11
Step-by-step explanation:
Data
Original line y = 1/3x - 2
Point = (3, 2)
New line = ? (perpendicular)
Process
1.- Get the slope of the original line
The slope is the coefficient of the x in the line equation.
y = 1/3x - 2
slope = m = 1/3
2.- Find the slope of the new line
new slope = -3 (because the lines are perpendicular)
3.- Find the equation of the new line
y - y1 = m(x - x1)
x1 = 3 y1 = 2
-Substitution
y - 2 = -3(x - 3)
-Simplification
y - 2 = -3x + 9
y = -3x + 9 + 2
-Result
y = -3x + 11
Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Subtract 45 on each side so it would be
0.15X=104 then divide both sides by 0.15X
then X= 700
:) Hope this answers your question :)
