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Mathematics 16 Online
OpenStudy (destinyyyy):

Help with three problems.

OpenStudy (destinyyyy):

OpenStudy (destinyyyy):

I got -1, 5, 5

OpenStudy (destinyyyy):

Nnesha (nnesha):

how did you get -1 ?

OpenStudy (destinyyyy):

OpenStudy (destinyyyy):

I did the first equation x=/ 5

Nnesha (nnesha):

yes right so substitute x for 3

OpenStudy (destinyyyy):

Omg I see what I did.. 8 is the correct answer

Nnesha (nnesha):

yes right

OpenStudy (destinyyyy):

I miss read my own writing. I thought I wrote x^3 when it was x^2

OpenStudy (destinyyyy):

Are the other two answers correct?

Nnesha (nnesha):

yes

OpenStudy (destinyyyy):

Okay.. For the other two questions I posted im stuck.

OpenStudy (destinyyyy):

I got to 10/ (x+h) - 10/x all over h

OpenStudy (destinyyyy):

lcd= x(x+h) .. My example does something weird so im stuck here

Nnesha (nnesha):

how did you get 10 ? can you please show the work so i can find the mistakes :=)

OpenStudy (destinyyyy):

Oh my gosh. Sorry it some how posted the same question twice and not the correct question 22.. One second

OpenStudy (destinyyyy):

OpenStudy (destinyyyy):

That picture above is the question I was talking about.. @Nnesha

Nnesha (nnesha):

oh alright wait a sec

OpenStudy (destinyyyy):

Okay. Sorry about that

Nnesha (nnesha):

\[\huge\rm \frac{\color{ReD}{ \frac{ 10 }{ x+h }-\frac{ 10 }{ x}} }{ h }\] first deal with the top red part find the common denominator

OpenStudy (destinyyyy):

x(x+h)

Nnesha (nnesha):

yes right so what about the numerator ?

Nnesha (nnesha):

\[\huge\rm \frac{\color{ReD}{ \frac{??? }{ x(x+h )} } }{ h }\] multiply the numerator of first by denominator of the 2nd fraction multiply the numerator of 2nd fraction by denominator of first fraction

OpenStudy (destinyyyy):

Um what? I assumed it would leave me with 10x- 10(x+h) all over h

Nnesha (nnesha):

that's the numerator of top fraction \[\huge\rm \frac{\color{ReD}{ \frac{10x-10(x+h) }{ x(x+h )} } }{ h }\] like this

OpenStudy (destinyyyy):

??? How do you still have x(x+h) shouldnt it cancel out?

Nnesha (nnesha):

how would you cancel out that ? that's our common denominator

OpenStudy (destinyyyy):

Thats what happens when you get rid of fractions..

Nnesha (nnesha):

alright here is the example \[\huge\rm \frac{ a }{ b } +\frac{ b }{ d}\] \[\huge\rm \frac{ ad+ cb }{ bd }\]i would the common denominator

OpenStudy (destinyyyy):

Um okay?

OpenStudy (destinyyyy):

Whats the next step?

Nnesha (nnesha):

\[\huge\rm \frac{\color{ReD}{ \frac{10x-10(x+h) }{ x(x+h )} } }{ h }\] we should change division to multiplication to do that you should multiply the top with the `reciprocal` of the bottom

OpenStudy (destinyyyy):

Bottom as in x(x+h) or h?

Nnesha (nnesha):

\[\huge\rm \frac{\color{ReD}{ \frac{ a }{ b }} }{ \frac{ c }{ d } }=\color{reD}{\frac{a}{b}} \times \frac{d}{c}\] like this

Nnesha (nnesha):

\[\huge\rm \frac{\color{ReD}{ \frac{10x-10(x+h) }{ x(x+h )} } }{ \frac{h}{1} }\] h

Nnesha (nnesha):

h is same as h over 1

OpenStudy (destinyyyy):

Multiple by h/1?

OpenStudy (destinyyyy):

10x-10(x+h)/x(x+h) * h/1

Nnesha (nnesha):

what is the reciprocal of h/1 ?

OpenStudy (destinyyyy):

1/h

Nnesha (nnesha):

yes so multiply bye 1/h

OpenStudy (destinyyyy):

Okay

Nnesha (nnesha):

\[\huge\rm \color{ReD}{ \frac{10x-10(x+h) }{ x(x+h )} \times \frac{1}{h}} \] now distribute 10(x+h) multiply x(x+h)

OpenStudy (destinyyyy):

Okay

OpenStudy (destinyyyy):

-10h/ x^2+x * 1/h

OpenStudy (destinyyyy):

-10h/ x^2+xh

Nnesha (nnesha):

hmm there is a mistake in the denominator

Nnesha (nnesha):

\[\huge\rm \frac{ -10h }{ x(x+h) \times h }\] distribute x+h by x

OpenStudy (destinyyyy):

xh^2 +xh^2

OpenStudy (destinyyyy):

Right or no?

Nnesha (nnesha):

yes right h is common factor we take it out \[\huge\rm \frac{ -10h }{ h(x^2+xh) }\]now simplify

OpenStudy (destinyyyy):

-10/ x^2+h

Nnesha (nnesha):

hmm

Nnesha (nnesha):

\[\huge\rm \frac{ -10\cancel{h} }{ \cancel{h}(x^2+xh) }\] so final answer would be what ?

OpenStudy (destinyyyy):

-10/ x^2 +xh .. I noticed I forgot the second x

Nnesha (nnesha):

yes right

OpenStudy (destinyyyy):

Okay.. For the next one with the square root I have nothing.. I wasnt sure where to start

OpenStudy (destinyyyy):

I can put it in a new question if youd like

Nnesha (nnesha):

which one ?

OpenStudy (destinyyyy):

Ill tag you on it..

Nnesha (nnesha):

alright

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