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Viefleur [7K]
3 years ago
6

What is 5x-2=9+ 3x+10​

Mathematics
2 answers:
Furkat [3]3 years ago
5 0
21 and a half!
Much love ❤️
ANTONII [103]3 years ago
3 0

Answer:21/2

Step-by-step explanation: first you subtract 3x from both sides ending up with 2x on the left side. 2x-2= 9+10. You’ll then combine like terms adding 9 and 10 having 2x-2=19 You then add 2 to both sides. 2x=21 then dived by 2 on both sides. It won’t simplify so the answer is x=21/2

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Lim t^4 - 6 / 2t^2 - 3t + 7
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I think you meant to say

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(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

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