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Bogdan [553]
3 years ago
5

Determine all numbers at which the function is continuous.

Mathematics
1 answer:
andre [41]3 years ago
4 0

Answer:

B

Step-by-step explanation:

\lim_{x \to 5} \frac{x^2-7x+10}{x^2-14x+45}\\= \lim_{x \to 5} \frac{x^2-2x-5x+10}{x^2-5x-9x+45}  \\= \lim_{x \to 5}  \frac{x(x-2)-5(x-2)}{x(x-5)-9(x-5)} \\= \lim_{x \to 5}\frac{(x-2)(x-5)}{(x-5)(x-9)} \\= \lim_{x \to 5} \frac{x-2}{x-9}  \\=\frac{5-2}{5-9} \\=-\frac{3}{4}\\also~f(5)=-3/4\\so~ it~ is~ continuous~ at ~x=5

it does not exist at x=9.

so it is not continuous at x=9

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Answer:

Hi, There!

Option B 125% Is the Most Accurate Answer

Step-by-step explanation:

Circumference is the distance around a plane shape. So, it also measures length.

Length and area of two similar shapes are related by the formula

\frac{A_{1} }{A_{2} } =(_{} \frac{I_{1} }{I_{2\\ ^{~2~} }}

Where the A in both cases represents area and the L represents length. But here the Ls will represent circumference.  

Since the circumference of the circle increased by 50%, then the new circumference becomes

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Hence option B is the correct answer

7 0
3 years ago
Nancy bought 570 crayons that came in packs of 15 how many packs of crayons did Nancy buy​
Finger [1]

Answer:

The answer to your question is 38 packs

Step-by-step explanation:

Data

570 crayons

packs of 15 crayons each

total number of crayons = ?

Process

To solve this problem just divide the number of crayons by the number of crayons in each pack.

                           38

                    15  570

                        -45

                          120

                        - 120

                              0

Conclusion

Nancy bought 38 packs to have 570 crayons.

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