the formula for the nth term of a sequence of numbers is 1/2n(n+1) the first term of this sequence is 1. Use the formula to writ
e down the next three terms of this sequence.
1 answer:
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Let's assume
number of chairs =x
number of tables =y
we are given
Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each
So, we can find objective function as
now, we can find inequalities
A table requires 10 hours and $15 worth of supplies to make
so, total hours to make table =10y
amount spent on table =15y
It takes Gavin 4 hours and $10 worth of supplies to build each chair
so, total hours to make chair =4x
amount spent on chair =10x
total number of hours to make chair and table =4x+10y
Gavin wants to work for no more than 40 hours per week
so, we get
spend no more than $80 on materials
so, we get
so,
objective function:
Constraints:
This is possible as shown in the illustration in the attached picture. By definition, a ray has a point on one end, and extending infinitely as a line on the other end. The common ray is ED with points A and P located in between. As you can see, the intersection of the two angles is created by two parallel segments and a traversing ray ED.
