The solution to the equation is p = 1/3 and q = undefined
<h3>How to solve the equation?</h3>
The equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
The best way to solve the above equation is by the use of a graphing calculator i.e. graphically
However, it can be solved algebraically too (to some extent)
Recall that the equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
Split the equation
So, we have
p^2 - 2qp + 1/q = 0
p - 1/3 = 0
Solve for p in p - 1/3 = 0
p = 1/3
Substitute p = 1/3 in p^2 - 2qp + 1/q = 0
So, we have
(1/3)^2 - 2q(1/3) + 1/q = 0
This gives
1/9 - 2/3q + 1/q = 0
This gives
2/3q + 1/q = -1/9
Multiply though by q
So, we have
2/3q^2 + 1 = -1/9q
Multiply through by 9
6q^2 + 9 = -q
So, we have
6q^2 + q + 9 = 0
Using the graphing calculator, we have
q = undefined
Hence. the solution to the equation is p = 1/3 and q = undefined
Read more about equations at:
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Answer:
All except the second one (angle g is not similar to angle r)
Step-by-step explanation:
Just look at the order of the letters. It it's the same, its similar.
8/3
divide both sides by 3 and you get x=8/3
- The number of vertical pieces will be 28. Then the correct option is A.
- The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Horizontal pieces can be produced at a rate of 200 per labor hour.
A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.
You have 900 horizontal pieces and 50 vertical pieces in stock right now.
For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.
1. Then at the end of the next hour, the number of vertical pieces available in stock will be
→ 50 - 22
→ 28
Thus, the number of verticle pieces will be 28.
2. Then at the end of the next hour, then the number of horizontal pieces available in stock will be
→ 900 + 200 - 500
→ 600
More about the decision-making link is given below.
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