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
Makovka662 [10]
2 years ago
10

Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr

action 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
1 answer:
maw [93]2 years 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).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

You might be interested in
In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate
crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0
2 years ago
What is 99,056 divided by 52
telo118 [61]
Answer: 1,904.92308 if you round it that will be 1904.9 or 1904.92

I used a calculator
4 0
3 years ago
the surface area of a square pyramid is 84 square inches. the side length of the base is 6 inches. what is the value of x?
Sladkaya [172]
The formula is(V=B•h)(84•6)
8 0
3 years ago
Neeed a lot of help pls answer this pls
daser333 [38]

Answer:

32

Step-by-step explanation:

100: 25

4:1

x : 8

(8x 4) : 8

32: 8

ans 32

7 0
3 years ago
Read 2 more answers
a box of national brand cornflakes is $2.09 for 12 ounces in a box of store label cornflakes is $3.09 with 20 ounces find the un
hichkok12 [17]
2.09/12 = 0.174...rounds to 17 cents per oz
3.09/20 = 0.154..rounds to 15 cents per oz
8 0
3 years ago
Other questions:
  • What is the effective rate of a $30,000 non-interest-bearing simple discount 5%, 60-day note?
    11·2 answers
  • PLEASE HELP ASAP 25 PTS + BRAINLIEST FOR RIGHT/BEST ANSWER
    8·2 answers
  • Is 56 ft, 65 ft, 16 ft a right triangle
    10·2 answers
  • Decompose 3/8 as the sum of unit fractions
    13·1 answer
  • Your friend has a fabulous recipe for salsa, and he wants to start packing it up and selling it. He can rent the back room of a
    5·2 answers
  • David's heart beats 75 beats per minute.
    8·1 answer
  • Solve. Check for extraneous solutions.<br><br> (x-2)^(1/2) - (28 - 2x)^(1/4) = 0
    13·1 answer
  • Clay has 5 pounds of beef. How many 8 ounce servings does he have? *
    11·2 answers
  • If i'm in 9th grade right now what years was my 6th grade year ?
    7·1 answer
  • NEED HELP ASAP for this test please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!