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Sladkaya [172]
3 years ago
9

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

Mathematics
1 answer:
EastWind [94]3 years ago
4 0
For x\neq a, we have

\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a

So for g(x) to be continuous at x=a, we require that the limit as x\to a is equal to 4.

\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2
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A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?
serious [3.7K]

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

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Only the positive solution is of any use in this problem, so ...

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__

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8 0
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In 7 minutes, Jenny can type 63 words. What is her rate in words per minute?​
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Step-by-step explanation:

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Find cos(B) in the triangle.<br> Choose 1 answer:
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Cosine: adjacent/hypothenuse
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