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3 years ago

Where is the removable discontinuity of f(x) located? x = -5 F(x)=5x+10/x^2+7x+10

Mathematics

2 answers:

stiks02 [169]3 years ago

4 0

The discontinuity of f(x) is at x=25. The denominator goes to zero.

zvonat [6]3 years ago

3 0

Answer:

F(x)=0

Step-by-step explanation:

5x+10/x^2+7x+10

When x=-5

Substitute the value of x in the equation

5(-5)+10/(-5^2+7(-5)+10

-25+10/25-35+10

-15/-10+10

-15/0

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3 years ago

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3 years ago

A small town had a population of 960 people last year. The population increased to 1200 people this year. By what percentage did

Licemer1 [7]

Answer:

25%

Step-by-step explanation:

25% of 960 is 240. to find that we need to do...

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2 years ago

After allowing 20% discount on the marked price with 13%

saveliy_v [14]

Answer:

The marked price of the article is 22,600

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Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is

$\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)$

Discount D = 20%

Substituting the given values

SP = $\mathrm{MP}\left(1-\frac{20}{100}\right)$

18080 = $\mathrm{MP}\left(1-\frac{1}{5}\right)$

$18080=\mathrm{MP}\left(\frac{4}{5}\right)$

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Therefore the marked price of the article is 22,600

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3 years ago

Which simplified fraction is equal to 0.1ModifyingAbove 7 with bar? StartFraction 9 Over 17 EndFraction StartFraction 8 Over 45

Kazeer [188]

Answer:

8/45

Step-by-step explanation:

Define x to be the value of your fraction:

$x=0.1\overline{7}\\\\10x=1.7\overline{7}\qquad\text{multiply by 10}\\\\10x-x=1.7\overline{7}-0.1\overline{7}=1.6\\\\x=\dfrac{1.6}{9}=\dfrac{8}{45}\qquad\text{divide by 9; put in lowest terms}$

____

When in doubt, you can use your calculator to see which fraction gives you 0.1777777778.

_____

We multiplied by 10^1 above, because there is 1 repeating digit. The power of 10 we use matches the number of repeating digits.

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3 years ago