The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying 
we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
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Answer:
By the Empirical Rule, 68% of IQ scores are between 87 and 121
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 104
Standard deviation = 17
Using the empirical rule, what percentage of IQ scores are between 87 and 121
87 = 104 - 1*17
So 87 is one standard deviation below the mean
121 = 104 + 1*17
So 121 is one standard deviation above the mean
By the Empirical Rule, 68% of IQ scores are between 87 and 121
Answer:
350 lightbulbs
Step-by-step explanation:
First find the number of batches made.
20,000 divided by 400 = 50
This means that there are 50 batches in which 7 light bulbs will be selected at random to be inspected.
We can multiply the number of batches to the lightbulbs being inspected.
50 times 7 = 350
Therefore, 350 lightbulbs will be inspected.
Please tell me if I am incorrect :)
Answer: X > -10
Step-by-step explanation:
