2 years ago

Which equation represents the vertical asymptote of the graph?

Mathematics

1 answer:

My name is Ann [436]2 years ago

7 0

Answer:

X= -8

Step-by-step explanation:

The vertical line that the graph cannot cross is X=-8

The graph gets exponentially closer to that point but never reaches it

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The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m

Tresset [83]

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

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2 years ago

Use l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove

steposvetlana [31]

Answer:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}$

Step-by-step explanation:

The limit is:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}$

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

$\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}$

by replacing, and applying repeatedly you obtain:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}$

hence, the limit of the function is -1/14

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3 years ago

Solve x2 - 8x = 3 by completing the square. Which is the solution set

Simora [160]

Answer:

4\pm\sqrt{19}

Step-by-step explanation:

Move everything to left side

$x^{2} -8x -3 =0$

Now to solve this square equation we need to find Descriminant

$D=b^{2} -4ac=64+12=76$

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

$x_{1,2}=\frac{-b\pm\sqrt{D}}{2a} =\frac{8\pm2\sqrt{19}}{2}=4\pm\sqrt{19}$

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3 years ago

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dybincka [34]

Answer:

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Step-by-step explanation:

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3 years ago

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Lelu [443]

Answer:

Step-by-step explanation:

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