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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2/3, 4/5, 1/8 is the correct order from greatest to least.
Answer: y=4x-9
explanation: move the -4x over to the other side and it becomes positive 4x and -9 stays the same.
Sue Brown owe $280.00 in state taxes for the month. Option B is correct.
Step-by-step explanation:
Gross pay for June= $8000
State tax rate = 3.5%
We need to find how much will Sue Brown owe in state taxes for the month.
We need to find 3.5% of 8000
Solving:
So, Sue Brown owe $280.00 in state taxes for the month.
Option B is correct.
Keywords: Income Tax amount
Learn more about finding income tax amount at:
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Answer: choice B
Step-by-step explanation:
the mean is the sum of terms divided by the number of terms
mean=75.77, has to be rounded so it is 75.8
mode = 63 the one who appears the most
median is 76.5
