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4 years ago

What is the quotient

Mathematics

1 answer:

Mars2501 [29]4 years ago

3 0

Answer: -2, 5

Step-by-step explanation:

3x² - 2x + 5

x² + 3x + 1 ) 3x⁴ + 7x ³ + 2x² + 13x + 5

- (3x⁴ + 9x³ + 3x²) ↓ ↓

-2x³ - x² + 13x ↓

- (-2x³ - 6x² - 2x) ↓

5x² + 15x + 5

- (5x² + 15x + 5)

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Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train

MrRa [10]

Answer:

The rate of the trains is 75 miles per hour

Step-by-step explanation:

* Lets explain how to solve the problem

- Trains A and B leave the central station at the same time

- They travel with the same speed

* Assume that their speed is x miles/hour

- They travel in opposite direction, Train A towards station A and train

B towards station B

- Train A reaches station A after 4 hours

* Train A travels for 4 hours

- Train B reaches station B after 3 1/2 hours

* Train B travels for 3 1/2 hours

- Station A and Station B are 562.5 mi apart

* The total distance that the two trains travel is 562.5 miles

- Lets solve the problem

∵ Distance = speed × time

# For train A

∵ Its speed is x miles/hour

∵ Its time is 4 hours

∴ Its distance D(A) = 4 × x = 4 x miles

# For train B

∵ Its speed is x miles/hour

∵ Its time is 3 1/2 hours

∴ Its distance D(B) = 3 1/2 × x = 3.5 x miles

∵ The total distance is 562.5 miles

∴ D(A) + D(B) = 562.5

∴ 4 x + 3.5 x = 562.5

∴ 7.5 x = 562.5

- Divide both sides by 7.5

∴ x = 75

∵ x represents the speed of the trains

∴ The rate of the trains is 75 miles per hour

8 0

3 years ago

Which expression is equal to (3 × 5) × 4?

laila [671]

Answer:

Step-by-step explanation:

did the test :)

6 0

3 years ago

Read 2 more answers

If x equals 5, then find the matching value for y. 3x+y=9

timofeeve [1]

3x + y = 9
3*5 + y = 9
15 + y = 9
y = 9 - 15
у = -6

4 0

4 years ago

Read 2 more answers

The current temperature in Smalltown is 14 °F. This is 8 degrees less than twice the temperature that it was six hours ago. What

ruslelena [56]

Answer:

look t up

Step-by-step explanation:

5 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

4 years ago