A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
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Answer:
32 weeks.
Step-by-step explanation:
Let w represent number of weeks.
We have been given that the new plan will have the office recycling 1 kilogram of paper each week. So kilograms of paper recycled in w weeks would be .
We are also told that Toby's office had already recycled 7 kilograms. So total kilogram of paper recycled in w weeks would be .
Since Toby's office has to recycle a total of 39 kilograms of paper, so we will equate 39 with paper recycled in w weeks as:
Therefore, it will take 32 weeks for Toby's office to recycle a total of 39 kilograms of paper.
Given :
A point ( -3 , -2 ).
An equation of a line, y = x + 2.
To Find :
An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Solution :
Let, equation of new line is :
y = mx + c ....1)
Here, m and c are slope and intercept respectively.
We know, product of slope of two line is -1 :
m( 1 ) = -1
m = -1
It is also given that point ( -3,-2 ) passes through this point.
Putting value of this point and slope in equation 1), we get :
Therefore, the equation of line is : y = -x -5 .