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aniked [119]
4 years ago
5

Which is the graph of f(x)= 100(0.7)x?

Mathematics
2 answers:
lidiya [134]4 years ago
8 0
1,70 2,140 3,210 so on and so forth. The function would be y=70x
Sliva [168]4 years ago
3 0

Answer with explanation:

⇒⇒The equation of the function is

    f(x)=100 \times (0.7)^x

Which will be similar to (a)^x, where a is any real number.

⇒As,value of x increases, the value of  (0.7)^x will decrease, because 0.7 <1.

⇒It has a Horizontal Asymptote equal to

     y=0.

⇒The graph of the function is Strictly decreasing and then remains constant..

     

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use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2

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