Answer:
x=1,y=3
correct answer is (1,3)
Step-by-step explanation:
We can quickly eliminate y by subtracting one equation from the other
(-2x+y=1)-(-4x+y=-1)
2x=2
x=1
plug x=1 into equation 1
-2(1)+y=1
y=1+2=3
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
A) Business means the process of earning money, so she earned $350 at first time, so her initial value would be: $350
Rate of change = 750 - 350 / 350 * 100
= 400 / 350 * 100
= 40000 / 350
= 114.28
Now, There are 4 years between 2014 & 2010 so it will be:
= 114.28 / 4 = 28.57
In short, Your Answer would be 28.57% per year
B) Equation would be: Y = x + 0.2857x
Where, x = number of year
Hope this helps!
Steps to solve:
3^2 • 3^-8 • 3^0
~Apple exponent rule [ a^b * a^c = a^b+c ]
3^2-8+0
~Simplify
3^-6
~Use exponent rule [ a^-b = 1/a^b ]
1/3^6
~Simplify
1/729
Best of Luck!
1st is 3 2nd is undefined 3rd is -3/2 4th is 1/4
