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Iteru [2.4K]
4 years ago
8

Solve the system by graphing. y=x−22 x+y=1

Mathematics
2 answers:
trapecia [35]4 years ago
6 0

Answer:

C

Step-by-step explanation:

raketka [301]4 years ago
4 0
1.\\y=x-2\\\\for\ x=0\to y=0-2=-2\to(0;-2)\\for\ x=2\to y=2-2=0\to(2;\ 0)\\\\2x+y=1\to y=1-2x\\\\for\ x=0\to y=1-2\cdot0=1\to(0;\ 1)\\for\ x=1\to y=1-2\cdot1=-1\to(1;-1)\\\\Look\ at\ the\ picture.\\\\Answer:\boxed{(1;-1)}\to\fbox{A.}


x^2+x=12\\x^2+x-12=0\\\\a=1;\ b=1;\ c=-12\\\Delta=b^2-4ac\\if\ \Delta \ \textgreater \  0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\Delta=1^2-4\cdot1\cdot(-12)=1+48=49 \ \textgreater \  0\\\sqrt\Delta=\sqrt{49}=7\\\\x_1=\dfrac{-1-7}{2\cdot1}=\dfrac{-8}{2}=-4\\\\x_2=\dfrac{-1+7}{2\cdot1}=\dfrac{6}{2}=3\\\\Answer:\boxed{-4;\ 3}\to\fbox{A.}


-14+x^2=5x\to x^2-5x-14=0\\\\x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\(x-7)(x+2)=0\iff x-7=0\ or\ x+2=0\\x=7\ or\ x=-2\\\\Answer:\boxed{-2;\ 7}\to\fbox{C.}
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Answer:

Step-by-step explanation:

Simplifying

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Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-8' to each side of the equation.

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Simplifying

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