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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

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The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be
nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:


If two events are independent, then:

  • Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

  • Pr(A/B) = Pr(A∩B) / Pr(B)
  • Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

  • Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
  • Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

  • Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0
1 year ago
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost and same-day tickets cost . Fo
AveGali [126]

Answer:

83746+4747+48484=3943848343

Step-by-step explanation:

Easy

8 0
2 years ago
The daily supply of oxygen for a particular multicellular organism is provided by 625 feet of lawn. A total of 3,750 square feet
Ainat [17]

Answer:

The answer to your question is 6 organisms.

Step-by-step explanation:

Data

625 ft² -------- 1 multicellular organism

3750 ft² -- number of organisms

Process

1.- To know the number of organisms that can supply 3750 ft² of lawn, we need to use proportions and cross multiplication.

                    625 ft² ------------------ 1 multicellular organisms

                  3750 ft² ------------------  x

                    x = (3750 x 1) / 625

                    x = 3750 / 625

                    x = 6

2.- Conclusion

3750 ft² can supply of oxygen 6 organisms.

5 0
3 years ago
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