When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0
What is an Undefined Function?
A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.
From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.
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Answer:
x^2 -2x = 4x+1
2x^2 +12x = 0
9x^2 +6x -3=0
Step-by-step explanation:
A quadratic equation has the highest power of x being squared
x^2 -2x = 4x+1
2x^2 +12x = 0
9x^2 +6x -3=0
These are all quadratic equations
So the answer would be16*4=64
1) 1 1/4 =5/4
2) 2/3 *5/4 = 5/6
or 1/3 of 5/4 = 5/4 :3 = 5/4*1/3 =5/12
1/3 of 5/4 is 5/12, so
2/3 of 5/4 = 2 * 5/12 = 5/6
Answer is 5/6.
The value of P(4<X≤12) is 0.45
<h3>How to determine the probability?</h3>
The complete question is added as an attachment
To calculate P(4<X≤12), we use the following equation
P(4<X≤12) = P(4<X≤8) + P(8<X≤12)
From the histogram, we have:
P(4<X≤8) = 0.1
P(8<X≤12) = 0.35
So, we have:
P(4<X≤12) = 0.1 + 0.35
Evaluate
P(4<X≤12) = 0.45
Hence, the value of P(4<X≤12) is 0.45
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