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2 years ago

Each factory at a candy company has 498 workers. There are 12 factories. )

Mathematics

2 answers:

harkovskaia [24]2 years ago

8 0

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

oksano4ka [1.4K]2 years ago

4 0

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

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2 years ago

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ElenaW [278]

Answer with Step-by-step explanation:

We are given that

$f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.$

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We know that if function is continuous at x=a then LHL=RHL=f(a).

$f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}$

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}$

$\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}$

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Substitute

x=2+h

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}$

$=\frac{2}{4}=\frac{1}{2}$

LHL=RHL= $\frac{1}{2}$

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$LHL=RHL\neq f(2)$

Hence, function is discontinuous at x=2

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3 years ago