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3 years ago

Write this expression so that its denominator, if any, is a positive integer. 2/(3+sqrt(7))

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7 the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7) the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2 the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1 the equation after you divide out the 2's

= 3 - sqrt7 is THE ANSWER

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3 years ago

Please help with 30!

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The equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

The equation of the graph y = $x^{3}-2x^{2} +3x-4$

Replace y with -y in the given equation

-y = $x^{3}-2x^{2} +3x-4$

When replacing y with -y gives the different equation. The equation is not symmetric with respect to x axis

Replace x with -x in the given equation

y = $(-x)^{3} -2(-x^{2} )-3(-x)-4$

y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x gives the different equation. The equation is not symmetric with respect to y axis

Replace x with -x and y with -y in the equation

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-y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x and y with -y gives the different equation. The equation is not symmetry with respect to origin.

Hence, the equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

Learn more about symmetry here

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1 year ago

pet food makes a profit of $5.50 per bag if the store wants to make a profit of no less than $5225, how many bags does it need t

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4 years ago

Indicate the equation of the given line in standard form, writing the answer in the equation box below.

yawa3891 [41]

9514 1404 393

Answer:

x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

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For points (-2, -2) and (16, 4), this equation is ...

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6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

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4 years ago