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natita [175]
3 years ago
14

Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End

Fraction + StartFraction x Over x + 3 EndFraction Step 1: StartFraction x Over (x minus 2)(x minus 3) EndFraction + StartFraction 3 Over x + 3 EndFraction Step 2: StartFraction x Over (x minus 2) (x + 3) EndFraction + 3 (x minus 2) Over (x minus 2) (x + 3) EndFraction Step 3: StartFraction x + 3 x minus 6 Over (x minus 2) (x + 3) EndFraction Step 4: StartFraction 4 x minus 6 Over (x minus 2) (x + 3) EndFraction She added the two fractions incorrectly. She used the wrong common denominator. She did not distribute the negative correctly. She did not multiply the first fraction by a factor.
Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

Answer:

The answer is:

She used the wrong common denominator

Step-by-step explanation:

Solving the given equation

\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}

Lets consider the steps given in the question:

Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}

Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\

Lets compare both solutions:

In the original solution, the denominator of first term is (x-2)(x-3)

In the solution given in the question, the denominator of first term is (x-2)(x+3).

So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.

Brrunno [24]3 years ago
4 0

Answer: it’s b

Step-by-step explanation:

Took quiz on edge 2020

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Step-by-step explanation:

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2 years ago
In Art class, there was a bucket of markers on the counter with nine blue, six green, and ten orange markers. Each student will
Oxana [17]

Answer: 19/25

Step-by-step explanation:

There are 25 markers in total and 6 of them are green. The odds of a student not getting a green marker would be the number of markers that aren’t green out of 25

25 - 6 = 19

19/25

6 0
3 years ago
E=mc^2 in terms of m
JulijaS [17]
E/(c^2) = mc^2/(c^2)
m = E/(c^2) 
7 0
3 years ago
Verify the identity:<br> tan(x+pi/2)=-cotx<br><br> please!!
olya-2409 [2.1K]
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb

tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx, 
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx, 
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</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
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5 0
3 years ago
Perform the following division:
Radda [10]
Hey!


Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction.  To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

<em>Original Fraction :</em>
3 \frac{3}{4}

<em>New Fraction {Changed by Conversion} :</em>
\frac{15}{4}

Now that we've successfully done that we'll have to change the equation.

<em>Old Equation :</em>
\frac{15}{4} ÷ \frac{2}{8} = ?

<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
\frac{15}{4} · \frac{8}{2} = ?

Now we multiply straight across.

<em>Old Equation :</em>
\frac{15}{4} · \frac{8}{2} = ?

<em>Solved :</em>
\frac{120}{8}

Almost done!
Now we have to simplify the fraction.

<em>Old Fraction :</em>
\frac{120}{8}

<em>New Fraction {Changed by Simplification} :</em>
\frac{15}{1}

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

<span><em>So, 3  \frac{3}{4} ÷ \frac{2}{8} equals</em></span>  15.

Hope this helps!


- Lindsey Frazier ♥
7 0
3 years ago
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