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Yakvenalex [24]
2 years ago
14

Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

Mathematics
1 answer:
Alinara [238K]2 years ago
5 0

Answer:

Step-by-step explanation:

- 1 / 3 + - 7/4

-4/12 - 21/12

=-25/12

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Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
3x-1/5=x+1/3 solve for x
Maru [420]

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

6 0
2 years ago
A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = 1 *10^6 bytes

kilobyte = 1*10^3 bytes

and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

10^3 kilobytes (1000 kilobytes)

Hope this helped!

6 0
2 years ago
The vertices of the triangle is A(-2,4), B(1,2), C(-2,-2)
spin [16.1K]
See description in the pic.

5 0
2 years ago
In which quadrant is the value of the x-coordinate of a point on the unit circle always greater than the y-coordinate?
Yuliya22 [10]

Answer:

IV

In the fourth quadrant (IV).

Step-by-step explanation:

In the IV quadrant the x coordinate is always positive and the y coordinate is always negative. So the x coordinate is always larger than the y coordinate.

4 0
1 year ago
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