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8_murik_8 [283]
3 years ago
10

What is the simplified form of x-2 over x2+x-6 divided x2+5x+4 over x+4

Mathematics
2 answers:
pychu [463]3 years ago
7 0

Answer:

1/((x+3)*(x+1))

Step-by-step explanation:

We can write the expression as:

((x-2)/(x^2+x-6))/((x^2+5*x+4)/(x+4))

We can write the term as a single division by multiplying the terms in numerator by the inverse on the terms in the denominator:

((x-2)/(x^2+x-6))*((x+4)/(x^2+5*x+4)/)

((x-2)*(x+4))/((x^2+x-6)*(x^2+5*x+4))

We can simplfy the denominator terms as:

x^2+x-6=(x+3)*(x-2)

x^2+5*x+4=(x+4)*(x+1)

Therefore (x-2) and (x+4) in the numerator and denominator cancels out and we are left with:

1/((x+3)*(x+1))

skad [1K]3 years ago
5 0
X-2 over x2+x-6 divided x2+5x+4 over x+4 requires 2 factoring, canceling like factors, and inverting the divisor and multiplying.

(x-2) over (x+3)(x-2) divided by (x+4)(x+1) over (x+4) after factoring twice

canceling like factors
1 over (x+3) divided by (x+1) over 1
invert denominator and multiply

answer 1 over (x+3)(x+1)

 
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The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

<em>Travel time = distance ÷ speed </em>

<u>Second half of the trip</u> :

  • <em>Speed = s mph</em>

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<u>Time taken for second half of trip</u> :

Time taken = 15 / s

<u>First half of the trip</u> :

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<u>Time taken for first half of trip :</u>

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B)

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<em>Substitute s = 12 into the expression</em> :

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Learn more : brainly.com/question/18796573

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6 0
3 years ago
Read 2 more answers
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