Physics, 29.05.2021 02:10 toshahoskins0098

Dakota lives in New Orleans. He knows that scientists have predicted some changes on Earth due to global warming, and he is concerned it will affect his city. What effects are scientists concerned about in relation to global warming? Choose the two that apply.
A. decreases in temperatures
B. melting of sea ice
C. decreasing sea levels
D. decreases of greenhouse gas concentrations
E. increase in carbon dioxide from melting permafrost

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answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

Answer from: Quest

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we have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is $[2,\infty)$ .

if we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

let us know find its inverse.

$y=(x-5)^{2}+2$

upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

let us now solve this function for y.

$(y-5)^{2}=x-2\\ y-5=\pm \sqrt{x-2}\\ y=5\pm \sqrt{x-2}\\$

hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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Dakota lives in New Orleans. He knows that scientists have predicted some changes on Earth due to gl...

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