Answer: <span>If x – 5 ≠ 10, then 4x + 1 ≠ 61
Justification:
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1) The inverse of a conditional is negating both the hipothesis and the conclusion of the conditional, keeping the same sense of the implication.
2) This is the scheme (the symbol ~ is used to negate)
conditional: p → q
hypothesis: p
conclusion: q
negated hypothesis: ~p
negated conclusion: ~ q
inverse conditional: ~p → ~q
3) So, for the hypotheis <span>p: x – 5 =10 and the conclusion q: 4x + 1 = 61, the conditional p→ q is:
if x - 5 = 10 then 4x + 1 = 61.
And the inverse is negating both the x - 5 = 10 and 4x + 1 = 61, leading to:
If x – 5 ≠ 10, then 4x + 1 ≠ 61, which is the answer.</span>
Answer:
-3
Step-by-step explanation:
If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.
In this case, factoring the polynomial at the top would be helpful.
The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)
The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:
-1-2 = -3
Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.
I hope this helped you.
Answer:
1203/100
Step-by-step explanation:
12 times 100 equals 1200 plus three equals 1203/100
