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uysha [10]
3 years ago
12

A set of equations is given below:

Mathematics
1 answer:
Zanzabum3 years ago
4 0
The answer is:  [A]:  "No solution" .
_______________________________________________
Note:  Given:
_______________________________________________
  y = 4x + 8 ;
  y = 4x + 2 ;
_______________________________________________

Since:  "y = y" ;

4x + 8 = 4x + 2 ; which is not true;
______________________________
 4x  +  8  ≠  4x  +  2 ;  since,  "8  ≠ 2" ;

Note:  Suppose:  "4x + 8 = 4x + 2" ; 

→ Subtract "4x" from each side of the equation:

4x + 8 − 4x  = 4x + 2 − 4x ;

to get:
_________________
 " 8 = 2 " ;  not true ; since  "8 ≠ 2" ;
______________________________
Also, suppose:
_______________________________
 4x + 8 = 4x + 2 ;

→ Subtract "2" from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note:  "4x + 0 = 4x" ;  but "4x + 6 ≠ 4x") l

But even if we have:

4x + 6 = 4x ;

→ Subtract "4x" from EACH side of the equation:

4x + 6 − 4x  = 4x − 4x ;

to get:

   6 = 0 ; which is not true;  "6 ≠ 0" . 
____________________________________
The correct answer is:  [A]:  "No solution" .
______________________________________

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7 0
2 years ago
Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu
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Let y=C_1x+C_2x^3=C_1y_1+C_2y_2. Then y_1 and y_2 are two fundamental, linearly independent solution that satisfy

f(x,y_1,{y_1}',{y_1}'')=0
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Note that {y_1}'=1, so that x{y_1}'-y_1=0. Adding y'' doesn't change this, since {y_1}''=0.

So if we suppose

f(x,y,y',y'')=y''+xy'-y=0

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To make sure everything cancels out, multiply the second degree term by -\dfrac{x^2}3, so that

f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y

Then if y=y_1+y_2, we get

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Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

<h3>What is tax?</h3>

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

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The assessment value is found as;

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The amount which goes to funding schools is;

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Hence your taxes went to funding schools will be $2641.

To learn more about the tax refer to the link;

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29 + 16

45

Note that * is used to signify multiplication.

5 0
3 years ago
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