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Crank
3 years ago
12

A(3-x)=-2x+B if x=2 How do I find A and B what are the answers

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

A=5,B=9\\\\or\ A=-9,B=-5

Step-by-step explanation:

A(3-x)=-2x+B\\\\Given\ x=2\\\\Substitute\ the\ value\ of\ x\\\\A(3-2)=-2\times 2+B\\\\A=-4+B\\\\A=B-4\\\\So\ the\ value\ of\ A\ is\ 4\ less\ than\ the\ value\ of\ B.\\\\When\ B=9\Rightarrow A=9-4=5\\\\When\ B=-5\Rightarrow B=-5-4=-9\\\\Hence\ A=5,B=9\\\\or\ A=-9,B=-5

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Answer:

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Step-by-step explanation:

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You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.

When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.

When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.

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