Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below. Andrea’s Work Step 1 m = StartFraction 72 minus 48 Over 195 minus 61 EndFraction = StartFraction 24 Over 134 EndFraction = StartFraction 12 Over 67 EndFraction Step 2 61 = (StartFraction 12 Over 67 EndFraction) (48) + b Step 3 b = StartFraction 3,511 Over 67 EndFraction Step 4 y = StartFraction 12 Over 67 EndFraction x + StartFraction 3,511 Over 67 EndFraction What was the first error that Andrea made? Andrea used the reciprocal of the slope. Andrea made a computational error when she simplified m. Andrea substituted incorrectly when she solved for b. Andrea made a sign error when she solved for b.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

answer: 414,377,008

step-by-step explanation:

just multiply it