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3 years ago

44 POINTS

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Answer:

The standard form is -x + 2y = 8

Step-by-step explanation:

To find this, start by using point-slope form with the given information.

y - y1 = m(x - x1)

y - 3 = 1/2(x + 2)

Now solve for the constant.

y - 3 = 1/2(x + 2)

y - 3 = 1/2x + 1

-1/2x + y - 3 = 1

-1/2x + y = 4

Now to get integers, multiply the whole thing by 2.

-x + 2y = 8

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zlopas [31]

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Step-by-step explanation:

(SUBSTITUTION)

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3 years ago

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mr_godi [17]

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2 years ago

Solve the following proportion x/2 = 8/9

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Answer:

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3 years ago

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How to show these 2 problems are inverses

nataly862011 [7]

$\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x$

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other

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2 years ago

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Step-by-step explanation:

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3 years ago

*44 POINTS*

44 POINTS