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2 years ago

What is the sum of the rational expression below? x-4/2x+3x/2x-1

Mathematics

2 answers:

Dima020 [189]2 years ago

5 0

The answer is right here:

svetoff [14.1K]2 years ago

4 0

Answer:

8x2−9x+4

4x2−2x

Step-by-step explanation:

For Ap3x

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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

Rashid [163]

Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the inlet rate and the outlet rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

1. Inlet rate:

$1vat/5hours$

2. Outlet rate:

$1vat/8hours$

3. Net rate:

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

4. Time to fill the vat

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

7 0

2 years ago

What is 1504.92 x8%x 1/12=

valentinak56 [21]

Answer:

10.0328

Step-by-step explanation:

this is the answer

4 0

2 years ago

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$

$0= -264\ x+4682$

Subtracting both sides by 4682.

$0-4682= -264\ x+4682-4682$

$-4682= -264\ x$

Dividing both sides by -264

$\frac{-4682}{-264}= \frac{-264\ x}{-264}$

$17.73= x$

∴ $x=17.73$

Thus x-intercept is at point $(17.73,0)$

5 0

3 years ago

The two lines graphed on the coordinate grid each represent an

shusha [124]

9514 1404 393

Answer:

C. (-4, -3)

Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

(x, y) = (-4, -3)

7 0

2 years ago

Please help me I really need help

Oliga [24]

Answer:

Step-by-step explanation:

(1) 2x - 6y = -12

(2) x + 2y = 14

There is a -6y and a +2y. Since they have opposite signs, I'll try to eliminate the y terms. (That's my choice. There is more than one way to solve these.)

Multiply eq. (2) by 3:

3x + 6y = 42

Then add the result to eq. (1) to eliminate the y terms:

2x - 6y = -12

3x + 6y = 42

------------------

5x = 30, so x = 6

Now plug the value of x into eq. (2) and solve for y:

6 + 2y = 14

2y = 8

y = 4

Why did I use eq. (2) to solve for y? Because it's less work. I could have used eq. (1) instead:

2(6) - 6y = -12

12 - 6y = -12

-6y = -24

y = 4

More than one way to solve.

5 0

2 years ago