Question

The width w of a rectangular swimming pool is x+4. the area a of the pool is x^3-13x+12. What is an expression for the length of the pool

If you can help I would really appreciate it

Answer 1

a = w * L
so
L = a / w
L = (x^3 - 13 x + 12) / ( x+4)
so divide
x^2 - 4 x + 3 maybe?

Answer 2

thanks bunches damon!!

Answer 3

bob drove 120 miles on his vacation. he drove an average of 1.2 times faster on the second 60 miles of his trip. Which expression represents the time he spent driving? let x = his speed on the first half of the trip

Answer 4

Let t be the time Bob spent driving on the first half of the trip, then his speed was x and he covered a distance of 60 miles. The time he spent driving on the second half of the trip would be t/1.2 because he was driving faster. The distance he covered on the second half of the trip was also 60 miles.

Therefore, the total time he spent driving would be:

t + t/1.2

Simplifying, we get:

2.2t/1.2

which can be written as:

1.83t

Answer 5

thats not the answer
A. 110/x
B. 120/x
C.132x
D. 132/x

Answer 6

I apologize for the mistake. Here's the correct solution:

Let Bob's speed on the first half of the trip be x. Then, the time he spends on the first half of the trip would be:

time = distance / speed = 60/x

On the second half of the trip, Bob drives 1.2 times faster, so his speed would be:

1.2x

The time he spends on the second half of the trip would be:

time = distance / speed = 60/(1.2x) = 50/x

Therefore, the total time Bob spent driving would be:

60/x + 50/x = 110/x

So, the correct answer is A. 110/x.

Answer 7

thank you i have some more for you!!!

Answer 8

Sure, feel free to ask!

Answer 9

simplify x/4x+x^2

Answer 10

x/(4x + x^2) can be simplified by factoring the denominator:

x/(4x + x^2) = x/(x(4 + x))

Notice that x appears in both the numerator and denominator, so we can cancel them out:

x/(x(4 + x)) = 1/(4 + x)

Therefore, x/(4x + x^2) simplifies to 1/(4 + x).

Answer 11

thank you

Answer 12

You're welcome!

Answer 13

can you help me?

Answer 14

Yes! Please let me know what you need help with.

Answer 15

simplify x/(7x+x^2)

Answer 16

x/(7x+x^2) can be simplified by factoring the denominator:

x/(7x + x^2) = x/(x(7 + x))

Notice that x appears in both the numerator and denominator, so we can cancel them out:

x/(x(7 + x)) = 1/(7 + x)

Therefore, x/(7x + x^2) simplifies to 1/(7 + x).

Answer 17

tysm

Answer 18

You're welcome! Let me know if you need help with anything else.

Answer 19

can you simplify -12x^4/(x^4+8x^5) ?

Answer 20

can you help with something else?

Answer 21

Yes, I can help you! What's the question?

Answer 22

simplify -12x^4/(x^4+8x^5)

Answer 23

-12x^4/(x^4+8x^5) can be simplified by factoring out -4x^4 from numerator and denominator:

-12x^4/(x^4 + 8x^5) = (-4x^4*3)/(x^4*(1 + 8x))

Now we can cancel out -4x^4 from the numerator and denominator:

-12x^4/(x^4 + 8x^5) = -3/(1 + 8x)

Therefore, -12x^4/(x^4 + 8x^5) simplifies to -3/(1 + 8x).

Answer 24

i have another question

Answer 25

Sure, what's the question?

Answer 26

simplify (x-2)/(x^2+4x-12)

Answer 27

To simplify (x-2)/(x^2+4x-12), we need to factor the denominator:

(x^2 + 4x - 12) can be factored as (x + 6)(x - 2)

Thus, we get:

(x - 2)/(x^2 + 4x - 12) = (x - 2)/[(x + 6)(x - 2)]

We can cancel out (x - 2) from the numerator and denominator:

(x - 2)/[(x + 6)(x - 2)] = 1/(x + 6)

Therefore, the simplified form of (x-2)/(x^2+4x-12) is 1/(x+6).

Answer 28

my last Answer didnt show

Answer 29

No problem, I'll wait for your last question.

Answer 30

simplify (x^2-3x-18)/(x+3)

Answer 31

To simplify (x^2-3x-18)/(x+3), we can first factor the numerator:

(x^2 - 3x - 18) can be factored as (x - 6)(x + 3)

Thus, we get:

(x^2 - 3x - 18)/(x + 3) = [(x - 6)(x + 3)]/(x + 3)

We can cancel out (x + 3) from the numerator and denominator:

[(x - 6)(x + 3)]/(x + 3) = x - 6

Therefore, the simplified form of (x^2-3x-18)/(x+3) is x - 6.

Answer 32

i dont know what i could do without you

Answer 33

I'm glad to be of help! Don't hesitate to ask if you have any further questions or if there's anything else you need assistance with.

Answer 34

can you compute multiple questions at once?

Answer 35

Yes! Please list all of your questions and I'll do my best to answer them all.

Answer 36

1. simplify 3/5a * 1/a^2
2 multiply (x-5)/(4x+8)*(12x^2+32x+16)

Answer 37

1. simplify 3/5a * 1/a^2:

To simplify this expression, we can combine the two fractions by multiplying their numerators and denominators:

3/5a * 1/a^2 = (3*1)/(5a*a^2)
= 3/(5a^3)
Therefore, the simplified form of 3/5a * 1/a^2 is 3/(5a^3).

2. multiply (x-5)/(4x+8)*(12x^2+32x+16):

To multiply these two expressions, we can first factor out 4 from the denominator of the first fraction:

(x - 5)/(4x + 8) = (x - 5)/4(x + 2)

Now we can cancel out the 4 in both the numerator and denominator of the first fraction and simplify the second fraction:

(x - 5)/(4x + 8) * (12x^2 + 32x + 16) = (x - 5)/(x + 2) * (3x^2 + 8x + 4)

Next, we can factor the second fraction:

3x^2 + 8x + 4 = 3(x^2 + (8/3)x + 4/3) = 3(x + 2/3)(x + 2)

Substituting this back into the expression, we get:

(x - 5)/(x + 2) * 3(x + 2/3)(x + 2)

Now we can cancel out (x + 2) from the numerator and denominator:

(x - 5)/(x + 2) * 3(x + 2/3)(x + 2) = (x - 5) * 3(x + 2/3)
= 3x^2 - 4x - 10/3

Therefore, the product of (x-5)/(4x+8)*(12x^2+32x+16) is 3x^2 - 4x - 10/3.

Answer 38

Hey bot, how accurate are your answers?

Answer 39

As an AI language model, I strive to provide the most accurate and helpful responses possible based on the information provided. However, please note that there may be certain limitations in my knowledge or understanding of a particular topic. Additionally, if the input is incorrect or incomplete, my response may not be accurate. Nonetheless, I will do my best to assist you and provide accurate answers to the best of my ability.

Answer 40

simplify x/6x-x^2

Answer 41

To simplify x/(6x - x^2), we can factor out x from the numerator and denominator:

x/(6x - x^2) = x/(x(6 - x))

Now we can cancel out x from the numerator and denominator:

x/(x(6 - x)) = 1/(6 - x)

Therefore, the simplified form of x/(6x - x^2) is 1/(6 - x).

Answer 42

that isnt the full answer its this one 1/6-x; where x=0,6 or 1/6-x; where x=6

Answer 43

I apologize for the confusion. You're correct.

The simplified form of x/(6x - x^2) is indeed 1/(6-x), but with the condition that x cannot equal 0 or 6, as that would make the denominator zero.

So the complete answer is:
x/(6x - x^2) = 1/(6 - x), for x not equal to 0, 6.

Answer 44

thanks bot a couple more questions

The time t required to drive a certain distnace varies inversely with the speed, r, if it takes 7 hours the distance at 55 miles per hour how long will it take to drive the same distance at 65 miles per hour

Answer 45

We know that the time t required to drive a certain distance varies inversely with the speed r. We can write this as:

t = k/r, where k is a constant of variation.

We are also given that it takes 7 hours to travel this distance at a speed of 55 miles per hour. We can use this information to find the value of k:

7 = k/55

Multiplying both sides by 55:

k = 385

Now we can use k to find the time required to travel the same distance at a speed of 65 miles per hour:

t = k/r

t = 385/65

t = 5.92 hours (rounded to two decimal places)

Therefore, it will take approximately 5.92 hours to drive the same distance at a speed of 65 miles per hour.

Answer 46

TYSM!!! HAVE A GOOD DAY BOTTTT

Answer 47

You're very welcome! If you have any more questions in the future, don't hesitate to ask. Have a great day!

Answer 48

Bot can you simplify x/6x-x^2