Hope this helps
Answer:
Step-by-step explanation:
parallel lines have the same slope so you can have any line that is y=3x plus a number thats not 4
EXAMPLES:
Which statement describes the relationship between point P and the other points in the scatter plot?
1 answer:
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Let x = 6 = 2y so
3(6 - 2y) + 14y = 8 so
18 - 6y + 14y = 8 so
8y = -10 and
3(6 - 2y) + 14y = 8 so
18 - 6y + 14y = 8 so
8y = -10 and
Answer:
- x + 2y = 14
- 2x -y = 13
Step-by-step explanation:
I find it easier to work with the given standard-form equation. The parallel line will have the same x- and y-coefficients and a new constant. That constant can be found by substituting the given x- and y-values into the left-side expression:
x + 2y = 8 + 2·3 = 14
The parallel line is x + 2y = 14.
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The perpendicular line will have the x- and y-coefficients swapped and one of them negated. (In standard form, the x-coefficient is positive, so in this case it is convenient to negate the y-coefficient.) Then the perpendicular line through (8, 3) is ...
2x -y = 2·8 -3 = 13
The perpendicular line is 2x - y = 13.
Answer:
C
Step-by-step explanation:
Solution:-
- The Alternate series test is applicable for alternating series with has terms summed and subtracted alternatively and takes the form of:
∑ an
Were,
- Where, { bn } > 0 for all n. Then if the following conditions are met:
1. Lim ( n -> ∞ ) { b_n } = 0
2. b ( n + 1 ) < bn .... bn is a decreasing function.
Conclusion:- The series { ∑ an } is convergent.
- The following series is given as follows:
∑
Where,
1 . We will first test whether the sequence { bn } is decreasing or not. Hence,
We see that for n = 1 , 2 , 3 ... 6 the sequence { b_n } is decreasing; however, for n ≥ 7 the series increases. The condition is not met for all values of ( n ). Hence, the Alternating series test conditions are not satisfied.
We will now apply the root test that states that a series given in the following format:
∑ an
- The limit of the following sequence { an } is a constant ( C ).
1. C < 1 , The series converges
2.C > 1 , The series diverges
3. C = 1 , test is inconclusive
- We will compute the limit specified by the test as follows:
- Here, the value of C = +∞ > 1. As per the Root test limit conditions we see that the series { ∑ an } diverges.
Note: Failing the conditions of Alternating Series test does not necessarily means the series diverges. As the test only implies the conditions of "convergence" and is quiet of about "divergence". Hence, we usually resort to other tests like { Ratio, Root or p-series tests for the complete picture }.