You have a lot of questions here, try breaking them up into multiple posts and you may get more responses.
I will help with some.
<span>(x+3)=0
The solution is just -3.
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3m(m-4)=0
The two solutions are 0 and 4.
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(r-3)(r+2)=0
The two solutions are and 3 and -2.
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I hope this gets you started in the right direction.
Answer: The given series neither converges nor diverges.
Step-by-step explanation: We are given to determine whether the following series converges or diverges :
If the series converges, we are to find its sum.
The given series can be written as :
We note that the given series is a geometric one with first term 1 and common ratio given by
We know that a geometric series with common ratio r converges if |r| <1 and diverges if |r| > 1.
Since |r| = 1 for the given series, so the series will neither converge nor diverge.
Thus, the given series neither converges nor diverges.
7b - 2b + 3 - 1 = 0
(7b - 2b) = 5b
3 - 1 = 2
Thus:
5b + 2 = 0
5b = -2
b = -2/5 = -0.4
Answer:
15
Step-by-step explanation:
The x-intercepts -3 and -5 are also "roots" of the polynomial. The corresponding factors are (x + 3) and (x + 5). Multiply the constants together: 3*5 = 15. This is the desired constant term.
Note that your f(x) = x2 + 8x + should be written f(x) = x^2 + 8x + ... The " ^ " denotes exponentiation.
Check: Multiply (x + 3) and (x + 5) together and compare the result to the given polynomial with constant term 15:
f(x) = (x + 3)(x + 5) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15. This matches!
Well, from the sequence, notice <span>70,63,56,49,…
is simply dropping on the next term by 7 units, so,
70 - 7, 63
63 - 7, 56
and so on
thus, the "common difference", or the number you "add" to get the next term is -7..... as from the sequence itself, you can see the first term's value is 70.
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