All categories

3 years ago

Solve the system 2/3x-1/2y=1 1/4x+3/4y=-1

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

y=4x/3-2 x=-3y-4

Step-by-step explanation:

You might be interested in

What is the way to show the work of box a and box b each contain black tiles and white tiles. They have the same total number of

allsm [11]

Simplifying
$\frac{45}{100}$

7 0

3 years ago

On a number line what is the difference between -3/7 and -2/3?

Yakvenalex [24]

Answer: -5/21

Step-by-step explanation:

-3/7 & -4/6

common detonator is 42

-3/7 = -18/42 reduced to -9/21

-4/6 = -28/42 reduced to -14/21

difference between -9/21 and -14/21 = -5/21

4 0

3 years ago

1/4 times a number is -12.<br><br><br> one step equations

alexgriva [62]

Answer:

1/4x = -12

X=-48

8 0

3 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

2 years ago

Angles P and Q are supplementary. If mZP is<br> 32°, what is the mZQ?

Ratling [72]

Step-by-step explanation:

Supplementary angles add up to 180°

$\therefore m\angle P + m\angle Q = 180° \\ \therefore 32 \degree+ m\angle Q = 180° \\ \therefore m\angle Q = 180° - 32° \\ \huge \purple{ \boxed{\therefore m\angle Q = 148°}}$

6 0

3 years ago