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allierl2001
17.10.2019 •
Mathematics
Based on the graph below, what is the solution to the equation f(x) = g(x)?
graph of function f of x equals negative x plus 2.5 and graph of function g of x equals x squared plus 2 multiplied by x minus 8
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Ответ:
g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8
I will work with the last one, so my system of equation is:
f(x) = - x +2.5
g(x) = x^2 + 2x - 8
f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8
x^2 + 3x - 8 - x - 2.5 = 0
x^2 + 3x - 10.5 = 0
Use the quadratic formula to solve for x:
x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2
x = - 5.07 and x = 2.07
Ответ:
because
500× 0.35
500× 35/100
we cross the zeros
5× 35
= 175