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3 years ago

Which equation represents a direct variation?

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

Answer:

a y=.5x

Step-by-step explanation:

please dont look at my name

Aleksandr [31]3 years ago

3 0

A the first one the one with y=5x

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What is the answer to this question<br> -5x-6=??

bekas [8.4K]

-5x-6=?

Is 5x-6

So, it is:

-1(x)

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2 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

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3 years ago

A tee-ball team for 5 year-olds has half as many girls as boys. If there are 15 children on the team, how many are boys and how

Usimov [2.4K]

There are 10 boys because half of 10 is 5 5+5 equals 10

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3 years ago

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kozerog [31]

the answer is 54 9/14

because Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

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Leslie found the volume of a cone having both a height

Mademuasel [1]

Answer:

D.No, she forgot to take one-third of the base area times height.

Step-by-step explanation:

I just did it and its right.

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2 years ago

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