Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
1 answer:
Answer:
x = 0
Step-by-step explanation:
I think you mean
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
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Answer:
The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.
Step-by-step explanation:
Given:
Maximum safe-weight of 37 cars = 82 tons
∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)
Mean weight of 1 car (μ) = 2 tons
Standard deviation of 37 cars = 0.8 tons
So, standard deviation of 1 car is given as:
Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?
The sample is normally distributed (Assume)
Now, let us determine the z-score of the mean weight.
The z-score is given as:
Now, finding P(x > 2.22) is same as finding P(z > 1.69).
From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.
But we need the area under the curve for z > 1.69.
So, we subtract from the total area. Total area is 1 or 100%.
So,
Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
Cross Multiply the expression
Divide both sides by 20
Therefore, the value of x = 9