MATHEMATICS HIGH SCHOOL

Which term describes when governments do not interfere with trade between countries? 1) A. Trade balance 2) B. Exchange trade 3) C. Tariff trade 4) D. Free trade

Answers

Answer 1

Answer:

Answer:

D. Free trade

Step-by-step explanation:

"Do not interfere" = Free of government intervention.

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What are the possible values of x in 6x^2 + 432 = 0

Answers

Answer:

x = ±6i sqrt(2)

Step-by-step explanation:

6x^2 + 432 = 0

Subtract 432 from each side

6x^2 =- 432

Divide by 6

6x^2 /6 =- 432/6

x^2 =-72

Take the square root of each side

sqrt(x^2) = ±sqrt( -72)

x = ±sqrt(-1) sqrt(2*36)

We know the square root of -1 = i

x = ±i sqrt(2*36)

x = ±i sqrt(36) sqrt(2)

x = ±6i sqrt(2)

What two numbers add to 4 and when multiplied together equal 5

Answers

Answer:

$\large\text{no real solution}\n\n\text{complex solution}$

$\large\boxed{x=2+i\ and\ y=2-i\ or\ x=2-i\ and\ y=2+i}$

Step-by-step explanation:

$x,\ y-\text{the numbers}\n\nx+y=4\nxy=5\n\nx+y=4\qquad\text{subtract y from both sides}\nx=4-y\n\n\text{substitute it to the second equation}\n\n(4-y)y=5\qquad\text{use distributive property}\n\n4y-y^2=5\n\n-y^2+4y=5\qquad\text{change the signs}\n\ny^2-4y=-5\n\ny^2-2(y)(2)=-5\qquad\text{add}\ 2^2\ \text{to both sides}\n\ny^2-2(y)(2)+2^2=-5+2^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\n\n(y-2)^2=-5+4\n\n(y-2)^2=-1<0\to\boxed{no\ real\ solution}$

$\text{If you need the complex solution, then}\n\n(y-2)^2=-1\to y-2=\pm√(-1)\n\ny-2=-i\ \vee\ y-2=i\qquad\text{add 2 to both sides}\n\n\boxed{y=2-i\ \vee\ y=2+i}\n\n\text{Put the values of y to the first equation:}\n\nx=4-(2-i)\ \vee\ x=4-(2+i)\n\nx=4-2+i\ \vee\ x=4-2-i\n\n\boxed{x=2+i\ \vee\ x=2-i}$