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erastovalidia [21]
3 years ago
14

3x+y=8, 2x+4y=12 (system of equations)

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer:

(2,2)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

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Let f(x) = |x| / x , where x can be any real number except 0.
mash [69]

Answer: Hello there!

we have the function f(x) = IxI/x

Then this function can be piecewise writen as:

f(x) = 1 if x > 0

f(x) = -1 if x < 0

because:

suposse that n is a number greater than 0, then:

f(n) = InI/n = n/n = 1

and this is independent of the number n, so for all the positive values of x, we have f(x) = 1

and

f(-n) = I-nI/(-n) = n/(-n) = -1

and again, this does not depend on the value of n, so for all the negative values of x, we have f(x) = -1.

On the other hand, the Heaviside function is defined as:

H(x) = 1 if x>0

H(x) = 0 if x<0

Then the difference is that, when the Heaviside function takes the value of 0 for negative values of x, our function f(x) takes the value of -1 for negative values of x.

6 0
3 years ago
Solve the Equation <br> 2x-3=14<br> -x+3y=-6
andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}

If first equation is correct.

2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}

6 0
3 years ago
The exchange rate is £1 =$1.54 how many $ would I get for £200
Andreyy89
Let's see, if 1 pound = $1.54, let's times 1.54 by 200, the answer is $308, hope this helps
3 0
3 years ago
What does it take to be a friend?
dangina [55]

Answer:You need to be nice

Or just be you own way

But be nice

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the following proportion by cross multiplying:<br> x / 8 = 28 / 32
AveGali [126]
Since it is an equality that means the left side of the equation (x/8) has to be equal to the right side of the equation (28/32). One way you can solve for x is to isolate it. Since it’s an equality like we said you have to do to the left side the same that you would do to the right side to isolate x. So if I multiply by 8 on the left I need to also multiply by 8 on the right. So 8* (x/8) becomes just x since 8x/8 becomes 8/8 * x which is 1 *x. On the right side we do 8 *(28/32) which becomes 28 * 8/32 which becomes 7. So x = 7.
6 0
2 years ago
Read 2 more answers
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