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:
brainly.com/question/13763238
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Answer:
are there any numbers?
Step-by-step explanation:
Answer:
![\left( fg\right) \left( x\right) =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right) \left( x\right) =\frac{2x^{3}}{\sqrt[3]{x} }](https://tex.z-dn.net/?f=%5Cleft%28%20fg%5Cright%29%20%20%5Cleft%28%20x%5Cright%29%20%20%3D2x%5E3%5Csqrt%5B3%5D%7Bx%7D%5C%5C%5C%5C%5Cleft%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cright%29%20%20%5Cleft%28%20x%5Cright%29%20%20%3D%5Cfrac%7B2x%5E%7B3%7D%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
Step-by-step explanation:
Answer:
5.4
Step-by-step explanation:
<h3>
Answer: 300</h3>
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Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
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Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
