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2 years ago

PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!

Mathematics

1 answer:

max2010maxim [7]2 years ago

4 0

Answer:

Step-by-step explanation:

y intercept is -6

the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6

the slope is positive

Some plots you can put are (6, 2) and (12, 10)

Just start at (0, -6) and counts 4 up and 3 right

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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>

7 0

3 years ago

6-2x=5x-9x+12 what is the value of x<br><br> its for savvas realize

Sidana [21]

Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.

Step-by-step explanation:

6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.

7 0

3 years ago

Read 2 more answers

7. Is y = x - 4 a linear function?

LekaFEV [45]

Answer:

yes it is cause it has a slope and stuff

5 0

3 years ago

Read 2 more answers

Multiply or divide. Show your work.<br><br> 3n²-n/n²-1÷n²/n+1

Ugo [173]

$\frac{3n^{2} - n}{n^{2} - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n) - n(1)}{n^{2} + n - n - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n) + n(1) - 1(n) - 1(1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n + 1) - 1(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} * \frac{n + 1}{n^{2}}$
$\frac{3n - 1}{n - 1} * \frac{1}{n}$
$\frac{3n - 1}{n(n - 1)}$

5 0

3 years ago

5y = 3478 - 3c if the equation above, c is a constant. If y = 8 is a solution to the equation, what is the value of c?

docker41 [41]

What you would do is simply plug in 8 where y is and solve.
5(8)=3478-3c -Times 5 by 8
40=3478-3c -Add 3c to the opposite side of the equal sign
40+3c=3478 -Subtract 40 from the opposite side of the equal sign
3c=3438 -Divide equation by 3
c=1146

Hope this helps! :)

5 0

3 years ago