Answer:
- the value of the function changes sign in the interval
- the function is monotonic in the interval
Step-by-step explanation:
All polynomial functions are continuous, so we know from the intermediate value theorem that if the expression on the left changes sign in the interval [-2, 1] then there will be a zero in that interval. If the function is monotonic in the interval, there can only be one zero.
a) For f(x) = x^3 +x +3 = (x^2 +1)x +3, the values at the ends of the interval are ...
f(-2) = (4+1)(-2) +3 = -7
f(-1) = (1 +1)(-1) +3 = 1
The function value goes from -7 to +1 in the interval, so there exists at least one root in that interval.
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b) The derivative of the function is ...
f'(x) = 3x^2 +1
This is positive for any x, so is positive in the interval [-2, -1]. That is, the function is continuously increasing in that interval, so cannot have more than one crossing of the x-axis. There is exactly one root in the interval [-2, -1].
Where is this restaurant? It sounds good right now.<span />
Answer:
The correct option is;
E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender
Step-by-step explanation:
The question states that Aaliyah randomly selects the following;
First sample
Sample gender = Males
Sample size = 35
Age bracket of sample = 20 to 30 years
Second sample
Sample gender = Females
Sample size = 45
Age bracket of sample = 45 to 55 years
The plan is to determine how age and gender are related to movie genre preference
Appropriate sample distribution to determine movie genre preference is as follows;
Gender = Male
Age bracket = 20 to 55 years
Gender = Female
Age bracket = 20 to 55 years
Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.
Answer: 1/20 (fraction) or 0.05 (decimal)
Step-by-step explanation:
first i like to make them a decimal so its easier.
1/4 = 0.25
1/5 = 0.2
multiply 0.25 and 0.2 = 0.05
make 0.05 a fraction
1/20
simplify. (it's already in its simplest form)
the answer is 1/20 as a fraction or 0.05 as a decimal.
(i dont know which one ur teacher wants u to do fraction or decimal?)
Answer:
5a+25ab-6b
Step-by-step explanation:
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