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3 years ago

Complete the work shown to find a possible solution of the equation.

Mathematics

1 answer:

Andrei [34K]3 years ago

4 0

Answer: the answer is 14

Step-by-step explanation:

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Does this set of ordered pairs represent a function? Why or why not? {(–1, 5), (0,-3), (2,7), (4,0), (7, 5)}

Kisachek [45]

Yes, it does. Because these points do respect the "law" that for each "x" there is only one "y" that corresponds to it

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3 years ago

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Will I lose points when use brainly plus to ask questions?

dlinn [17]

Answer:

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2 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

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3 years ago

Which of the following numbers is a solutikn for inequality below k >3

Leya [2.2K]

Answer:

Step-by-step explanation:

It is any number that is 3 or less

Hope that helps! :)

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3 years ago

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A bag has 30 tiles, numbered 1-30. Write the ratio even tiles to odd tiles in simplest form.

guapka [62]

Answer:

r=1

Step-by-step explanation:

<u>Ratio of Values </u>

A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same

We have a set of tiles numbered 1 to 30:

1,2,3,4,5,6...,29,30

Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is

$\displaystyle r=\frac{even}{odd}$

$\displaystyle r=\frac{15}{15}$

r=1

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3 years ago