Tristen and gorge are stuck simplifying radical expressions. Tristren has to simplify . William has to simplify . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Tristena dn George started with equivalent expressions or if they started with expressions that are not equal?

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Tristen and gorge are stuck simplifying radical expressions. Tristren has to simplify . William has to simplify . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Tristena dn George started with equivalent expressions or if they started with expressions that are not equal?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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they are the same equations...
Vanessa will simplify as below: \[{x^{4/3 - 5/6}} = {x^{3/6}} = {x^{1/2}} = \sqrt x \]

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William will simplify as below: \[\sqrt[{16}]{{{x^{1 + 3 + 4}}}} = \sqrt[{16}]{{{x^8}}} = {x^{8/16}} = {x^{1/2}} = \sqrt x \]
for vanessesa isn't it saying to divide?
yes! infact I have computed the difference between exponents
okay:)
Can you help with this one?
ok!
let's suppose that the graph of f(x) is: |dw:1437512461162:dw|
namely f(0)=5
Yes
here is the graph of f(x)+2: |dw:1437512550200:dw|
I see
here is the graph of -2*f(x): |dw:1437512657609:dw|
namely if g(x)=-2*f(x), then: g(0)=-10
@Michele_Laino so where would it be increasing
the y-intercept for f(x)+2 is greater than the y-intercept of f(x)
whereas the y-intercept of g(x)=-2*f(x), is less than the y-intercept of f(x), if the y-intercept of f(x) is positive, and viceversa if the y-intercept of f(x) is negative
How did you get that answer?
isn't it -1/2 times f(x)
for example if the y-intercept of f(x) is 5, as in my drawing, then the y-intercept of -2*f(x), is -2*5=-10<5
oh sorry, I have made an error, I have considered the function -2*f(x) I have to consider the function -0.5 * f(x). here is the right drawing: |dw:1437513335915:dw|
the y-intercept of g(x)=-0.5*f(x), is less than the y-intercept of f(x), if the y-intercept of f(x) is positive, and viceversa if the y-intercept of f(x) is negative
for example if the y-intercept of f(x) is 5, as in my drawing, then the y-intercept of -0.5*f(x), is -2.5 <5
what about where the graphs are increasing/decreasing. I mean the points
whereas if the y-intercept of f(x) is -7, then the y-intercept of -0.5*f(x), is: -0.5*(-7)=3.5 > -7
as you can see from m,y last drawing, if f(x) increases also f(x)+2 increases, whereas if f(x) increases, then g(x)=-0.5*f(x) decreases
oops..from my* last drawing...
okay hahah! I see
I'm very sorry, it is 23:21 from me (Italy time zone) and I have to go to sleep
Aww :( OK! I'll see if I can find someone else. Byeee<3
Thanks so much!!!!
bye :) :)
thanks! :) :)

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