Assessment items mrs. sheng has two batches of bamboo plants that she will use to make a fence with poles of similar heights. when she transplanted the plants, the first batch, which grows at a rate of 2 ft/week, had stalks that were about 4 ft high. the second batch, which grows at a rate of 1.5 ft/week, had stalks that were about 7 ft high. the equation y=2x+4 y=2x+4 models the height, y, of the plants in the first batch x weeks after they were transplanted. the equation y= 3 2 x+7 y=32x+7 models the height, y, of the plants in the second batch x weeks after they were transplanted. graph the system formed by the equations.

The below graph shows the given situation.

Step-by-step explanation:

Here x represents the number of week and y represents the total height f the plant after x weeks.

Then, According to the question,

For the first  batch,

y = 2x + 4  ------  (1)

Which is the line having the x-intercept = (-2,0)

And, y-intercept = (0,4)

And, For the second batch,

y = 1.5x + 7

y = 3x/2 + 7 -------(2)

Which is a line that having x-intercept = (-14/3,0)

And, y-intercept = (0,7)

By solving equation (1) and (2),

We get,

x = 6 and y = 16

That is, the intersection point of line (1) and (2) is (6,16)

Thus, By the above explanation we can plot the solution of the system of equations (1) and (2) in the graph.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: