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06.12.2019 •
Mathematics
How many solutions does the system have?
{y=−2x+2
{y=x^2−3x
enter your answer in the box
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Ответ:
x^2-3x=-2x+2 add 2x to both sides
x^2-x=2 subtract 2 from both sides
x^2-x-2=0 factor
(x-2)(x+1)=0
So x=-1 and 2, using y=-2x+2 we find:
y(-1)=4 and y(2)=-2
So the two solutions occur at the points:
(-1,4) and (2,-2)
Ответ:
Price after discount = (1 - 0.15)y = 0.85y
Price after sales tax = (1 + 0.05)0.85y = 1.05(0.85y) = 0.8925y