By what percent will the product of two numbers decrease if one of them is increased by 30% and the other is decreased by 30%?

Mathematics

2 answers:

77julia77 [94]3 years ago

8 0

Answer:

Step-by-step explanation:

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Ivan3 years ago

7 0

Two numbers A & B, whose product is AB

when A increased by 30% and B decreased by 30%, the product is:
1.3A * 0.7B = 0.91AB
then
1AB - 0.91AB = 0.09 which is 9% decrease. So the answer is a 9% decrease. 
Hope this helps. :)

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Step-by-step explanation:

Given the logarithmic equation

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$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$