1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vaieri [72.5K]
1 year ago
15

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. Mark this and return
Mathematics
1 answer:
exis [7]1 year ago
4 0

The mathematical mistake that Riley made is that: "She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3  Apply the Law of Multiplicative Distribution:

Hence we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 -  Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us:  ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 -  check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

Learn more about Common Denominators at:

brainly.com/question/542317

#SPJ1

You might be interested in
Need help quick ASAP!!!
Dmitry_Shevchenko [17]
The answer is 3 and I'm just going to keep typing because I can't post under 20 characters
4 0
3 years ago
Read 2 more answers
What do I do with the “y = -f(x) +6” given to find the Domain and Range?
Bond [772]

Answer: hvfiikncdnf;oewh;d..ew

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
P L E A S E A N S W E R
Pavlova-9 [17]

Answer:

7-8

Step-by-step explanation:

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D" id="TexFormula1" title="\frac{1}{9}" alt="\frac{1}{9}" align="absmiddle
Jobisdone [24]

\dfrac{1}{9} - \dfrac{5}{6}

  • Set up

\dfrac{2}{18} - \dfrac{15}{18}

  • Get all fractions to a common denominator which will allow you to subtract them

\dfrac{2 - 15}{18}

  • Subtract numerators

\boxed{- \dfrac{13}{18}}

  • Simplify
4 0
3 years ago
CAN SOME ONE PLZ HELP I NEED HELP
Romashka [77]

Answer:

9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Another question I need help ! answer ASAP please .
    12·2 answers
  • Heeeeeeeeeeelp download the doc
    10·2 answers
  • A company's flexible budget for 14,000 units of production showed total contribution margin of $42,000 and fixed costs, $40,000.
    15·1 answer
  • Does the equation: y = 1/2x - 7 represent a proportional relationship?
    13·1 answer
  • 9.<br> Square Root Functions
    5·1 answer
  • I just need a quick explanation pls and thank you!
    13·1 answer
  • A right triangle is ____ a scalene triangle.<br> Always, sometimes, or never
    11·1 answer
  • If a is 5, b is 4, and c is 3, them ab-bc is
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B50%7D%20%2B%5Csqrt%7B18%7D" id="TexFormula1" title="\sqrt{50} +\sqrt{18}" alt="\sqrt
    5·1 answer
  • TIME REMAINING
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!