Simplify the rational expression
-12x^3/x^3-5x^4

Answers

Answer 1
Answer: Simplifying the rational expression "-12x^3/x^3-5x^4" involves cancelling out the terms or variables that are common or present in each term. For this example, the common term is "x^3". So for the first step, bring out all of the x^3 terms. This gives:

-->   -12x^3/x^3(1-5x)

Since this is a fraction, the x^3 can be cancelled out from the numerator and denominator.

final answer --> -12/(1-5x)

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie? A. 0. 018 B. 0. 268 C. 0. 536 D. 0. 821.

A football team gained 12 yards on one play, lost 40 yards on another, and gained 34 yards on the last play of the first half. They had already gained 345 already during the half. What was the total yardage gain for the first half?

Answers

351 was the total yardage gain for the first half.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

A football team gained 12 yards on one play,

lost 40 yards on another,

and gained 34 yards on the last play of the first half.

They had already gained 345 already during the half.

so, we get,

It would be 345+12=357,

then 357-40=317,

and finally,317+34=351

hence. 351 was the total yardage gain for the first half.

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It would be 345+12=357, then 357-40=317, and finally,317+34=351

What is the measure of AC?

Answers

Answer:

A or B

Step-by-step explanation:

What is the median cost of 26$, 35$, and 50$

Answers

(26+35+50)/(3)=(111)/(3)=37
The average is $37. The number closest to it is $35.

Answer:

I believe it should be $37.

Step-by-step explanation:

If I'm correct median mean average, so you find the average.

26+35+50=111

and since there were 3 variables,

111/3= 37.

You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?

Answers

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

How long does each trip take?

Remember the relation:

Distance = Speed*Time.

Here the total distance of the trip is 55mi + 50mi = 105mi

And the total time is 5 hours and 15 minutes, remember that:

60 min = 1 hour

Then; 15 min = 0.25 hours.

So the total time is 5.25 hours, with that we conclude that the average speed is:

S = 105mi/5.25 h = 20 mi/h

The first trip is 55 miles long, then the time in which it is travelled is:

T = (55 mi)/(20 mi/h) = 2.75 hours

The second trip is 50 miles long, then:

T' = (50mi)/(20 mi/h) = 2.5 hours.

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

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Solve a÷b(×)-c=0 for x
Help me please :)

Answers

a b x−c=0 Step 1: Multiply both sides by b. ax−bc=0 Step 2: Add bc to both sides. ax−bc+bc=0+bc ax=bc Step 3: Divide both sides by x. ax x = bc x a= bc x Answer: a= bc x

Answer:

ejrc 2sce onsv3dn3nvps

Step-by-step explanation:

ec3 r24d34 lkg

Evaluate the following:Options are:
-12/(5)
0
12/(5)
The integral diverges.

Answers

Answer:

The integral diverges

Step-by-step explanation:

∫₁³ 2 / (x − 2)^(8/3) dx

∫₁³ 2 (x − 2)^(-8/3) dx

There is a discontinuity in the function at x = 2.  Splitting this into two integrals:

∫₁² 2 (x − 2)^(-8/3) dx + ∫₂³ 2 (x − 2)^(-8/3) dx

(-6/5) (x − 2)^(-5/3) |₁² + (-6/5) (x − 2)^(-5/3) |₂³