To solve the equation |x-9|=0.5x, kiana graphed the functions f(x)=|x-9| and g(x)=0.5x on the same set of coordinate axes. she then found that the graphs intersected at the points (6,3) and (18,9). finally, she concluded that the solutions of the equation |x-9|=0.5x are x=6 amd x=18. which of the following reasons best justifies kiana's conclusion.

The answer is the option D

and

Step-by-step explanation:

we have

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

see the attached figure

The solution are the points and

therefore

The solution of the equation are

so

For

For

therefore

and because the intersection points are common points for both graphs

Option: D is the correct answer.

  F(6)=G(6)     and   F(18)=G(18)

We know that the point of intersection of the graph of two function f(x) and g(x) is the set of possible x values at which both the function have the same output values.

i.e. if the graph of two functions intersect at x=a than that means:

                                 f(a)=g(a)

Hence, here the graph of F(x)=|x-9| and G(x)=0.5x intersect at x=6 and x=18 ,

this means that:

                F(6)=G(6)

      and    F(18)=G(18)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without