1. As x approaches 1, f(x) approaches 3-1, that is 2.
If a = 2 and b = 3, f(1) = 2(1)^2 + 3(1) = 5
So there is a 'jump' in values of x at x = 1. So its not continuous at x=1.
2. For continuity at x = 1, ax^2 + bx must = 2 that is when a + b = 2.
3. for continuity at x = 2 , ax^2 + bx must be = 0 that is when a*2^2 + 2b = 0
- that is 4a + 2b = 0.
4. we have system of equations:-
a + b = 2
4a + 2b = 0
this gives a = -2 and b = 4 So f(x) is continuous when a = -2 and b = 4.
Answer:
1) 200.
Step-by-step explanation:
Men = 1/³
Women = ⅔
50 men, 100 women
2:1 women to men.
there are 200 people in total.
<span>(15 x 79) - (15 x 39) using distributive property
1185 - 585</span> = 800
The strongest linear relationship of correlation coefficient is a -1 or 1.
According to the statement
we have given that the cases and the out of these we have to ensure that which case show the correlation coefficients is indicative of the strongest relationship between the two variables
So, For this purpose
The relationship of correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables.
And according to the given cases
The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.
The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
So, The strongest linear relationship of correlation coefficient is a -1 or 1.
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