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
How do you write <br> 82.33 in words
aliya0001 [1]
Eighty two point thirty three ..?
7 0
3 years ago
Read 2 more answers
The directions are with the question. Please answer numbers 6 through 10, please.
prisoha [69]

Answer:

6) 4 (tiny 5) in the upper corner

7) 9 (tiny 2) in the upper corner

8) 4 (tiny 2) in the upper corner

9) 3 (tiny4) in the upper corner

10) 5 (tiny 5) in the upper corner

Step-by-step explanation:

Once you get the hang of it, it's quite easy! Here are the steps for how I figured it out:

1) Figured out what number they are giving me. For the first one, I saw that they gave me the number 4. For the second one, they gave me the number 9 etc.

2) Next, I looked at each problem individually. For the first one, you know that they are giving you the number 4. You would then count the amount of numbers, in this case 4, that you see in the equation.

3) Now knowing the numbers of numbers in the equation, you'd write it in exponential notation. For the first one, they are giving you the number 4, however, they are giving it to you 5 times. Thus, by writing the number 5, smaller than the number 4, you are allowing you and your math teacher to know that you have to take the number 4 and multiply it by itself 5 times.

4) Try doing this for the others too. Trust me, once you get the hang of it, it's pretty simple. Hope this helped!

4 0
3 years ago
Which number is divisible by both 3 and 9?
poizon [28]

Answer:

OC

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
From the given figure,write the corresponding angle of puv​
zepelin [54]

Answer: RVN

Step-by-step explanation:

Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

By that - the bottom angle RVN can be an example of corresponding angles.

Please give brainliest!

4 0
2 years ago
Read 2 more answers
What is the equivalent expression for a (4-a)-5(a-7)
balu736 [363]

Answer:

39-6a

Step-by-step explanation:

(4 - a) - 5(a - 7)               Distribute the -5 throughout (a-7)

4 - a - 5a + 35                  Combine like terms

4 + 35 - a - 5a

39 - 6a

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help NEEDED asap if you dont know atleast comment
    12·1 answer
  • Plz Help???
    5·1 answer
  • Pamela deposits $4,000 in an account that earns interest at 5% APR compounded weekly. What is her ending balance after 2 years?
    12·2 answers
  • Could use some help please
    11·1 answer
  • What answer to <br> −2k+(−4k)+5
    14·1 answer
  • What is 3 divided by 5 1/2?
    15·2 answers
  • Assume that x is a char variable has been declared and already given a value. Write an expression whose value is true if and onl
    12·1 answer
  • What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
    8·1 answer
  • JJ: ANswer question for me(Tasha) <br> WHat is 456789x456
    10·2 answers
  • 2. Pat is making flower bouquets. She has 12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!