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
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Answer:
24
Step-by-step explanation:
no explanation, I'm very sorry!
Answer:
The fourth graph.
Step-by-step explanation:
We have f(x + 1) so the x values will be increased by 1.
first value = 108 (when x = 1)
next value = 108 * 2/3 = 72 (when x = 2)
next = 72 * 2/ 3= 48 (when x = 3)
next = 48 * 2/3 = 32 (when x = 4)
Answer:
7/8
Step-by-step explanation:
Start by finding a common denominator. In this case you can turn the 4 into an 8 by multiplying by 2 but you have to do the same to the 3
2(3/4)= 6/8
Step 2: Add 6/8 + 1/8
6/8+1/8= 7/8
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