Write an equation of the line that passes through the point (3,1) and is perpendicular to y= 3/2x +1

Chico

Step-by-step explanation:

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Step 1) Find the slope of the given line, y = (1/2)x - 1.  Hint.  The given line is the slope-intercept form y = mx + b.

Step 2) The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line.

slope of perpendicular line = - 1/m

Step 3) Use the slope found in step 2 and the given point (1, 3) to write the equation of the line.  Use the point-slope form y - y0 = m(x - x0) where (x0, y0) is the given point.  Solve for y

Step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x