Answer:

Step-by-step explanation:
−5x - 3y = 21
+ 5x + 5x
__________

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Answer:
It's A.
Step-by-step explanation:
4 x 2.5 = 10
It's the only true statement
I feel like you just want the answers right now. Tell me later if u want explanations.
1. D 2. J 3. B 4. F 5. D 6. G 7. B 8. J 9. B 10. G
Answer:
There are many examples for the first request, but none for the second.
Step-by-step explanation:
a) There is a theorem which states that the sum of two convergent sequences is convergent, so any pair of convergent sequences (xn), (yn) will work (xn=1/n, yn=2/n, xn+yn=3/n. All of these converge to zero)
If you meant (xn) and (yn) to be both divergent, we can still find an example. Take (xn)=(n²) and (yn)=(1/n - n²). Then (xn) diverges to +∞ (n² is not bounded above and it is increasing), (yn) diverges to -∞ (1/n -n² is not bounded below, and this sequence is decreasing), but (xn+yn)=(1/n) converges to zero.
b) This is impossible. Suppose that (xn) converges and (xn+ýn) converges. Then (-xn) converges (scalar multiples of a convvergent sequence are convergent). Now, since sums of convergent sequences are convergent, (xn+yn+(-xn))=(yn) is a convergent sequence. Therefore, (yn) is not divergent and the example does not exist.
(0.6x^4)(0.2x^6)
<span>
=<span><span>0.6<span>x^4</span></span>*<span>0.2<span>x^6</span></span></span></span><span>
=<span><span><span>0.6*<span>x^4</span></span>*0.2</span>*<span>x^6</span></span></span><span>
=<span><span>(<span>0.6*0.2</span>)</span>*<span>(<span><span>x^4</span>*<span>x^6</span></span>)</span></span></span><span>
=<span>0.12*<span>x^10</span></span></span><span>
=<span>0.12<span>x^<span>10</span></span></span></span>