Which shows the expression x^2-1/x^2-x in simplest form

Answers

Answer 1

Answer:

The expression x^2-1 / x^2-x in its simplest form is 1 + 1/x.

How to simplify a given expression?

The given expression can be simplified by eliminating the common terms from the denominator and numerator. By doing this, the expression can be simplified.

The given expression is:

$(x^(2)-1 )/(x^(2)-x)$

It can be simplified as shown below:

$(x^(2)-1 )/(x^(2)-x) = ((x+1)(x-1 ))/(x(x-1))$

The numerator is split using the identity :

$a^(2) -b^(2) =(a+b)(a-b)$

It can be further simplified as follows:

$(x^(2)-1 )/(x^(2)-x) = ((x+1)(x-1 ))/(x(x-1))\n= (x+1)/(x) \n=(x)/(x) +(1)/(x) \n= 1+(1)/(x)$

We have simplified the given expression into 1 + 1/x.

Thus, the expression x^2-1 / x^2-x in its simplest form is 1 + 1/x.

Learn more about simplifying here: brainly.com/question/723406

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Answer 2

Answer:

Answer:

$\large\boxed{(x+1)/(x)=1+(1)/(x)}$

Step-by-step explanation:

$(x^2-1)/(x^2-x)=(*)\n\nx^2-1=x^2-1^2\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\n=(x-1)(x+1)\n\nx^2-x=(x)(x)-(x)(1)\qquad\text{use the distributive property}\n=x(x-1)\n\n(*)=((x-1)(x+1))/(x(x-1))\qquad\text{cancel}\ (x-1)\n\n=(x+1)/(x)=(x)/(x)+(1)/(x)=1+(1)/(x)$

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What is 54÷6+2×(8-3×4)? show work

Answers

54 ÷ 6 + 2 × (8-3 × 4); 54 ÷ 6 + 2 × (8 - 12); 54 ÷ 6 + 2 × (-4); 9 + 2 × (-4); 9 + (-8) ; 1 Remember PEMDAS

Write a whole number and a fraction greater than 1 to name the part filled. think: 1 container= 1

Answers

2 and 5/4 (if you mean fraction greater than 1)
or
3 and 1/4
Happy to Help!

Andrew Shapiro has a single membership in his company’s medical insurance program. The total cost is $5,360 annually and his employer pays 75% of the total cost. He also pays for the optional annual dental premium of $600 and the optional vision premium of $200 per year. His contribution is deducted monthly from his paycheck. How much is Andrew’s monthly deduction?

Answers

Answer:

$178,33

Step-by-step explanation:

Let's calculate Andrew's total yearly costs first.

The cost of the program is $5,360 annually, which is paid at 75% by the employer.

So, how much does the basic plan costs to Andrew per year?

He has to pay the remaining 25% so 25% of $5,360 is $1,340

He then chose to enroll in the dental and vision premium plans:

Dental: $600

Vision: $200

So, in total, Andrew's costs are $1,340 + $600 + $200 = $2,140

Assuming he pays that in equal payments each month, his monthly cost/deduction will be: $2,140 / 12 = $178,33

Is 49 prime or composite

Answers

If it has any other factors besides ' 1 ' and '49',
then it's composite.

7 is a factor of 49. (In fact, it's two of them.)

So 49 is composite.

Prime because nothing can time to equal it but 1x49.

Evaluate 3/7r + 5/8s when r = 14 and s = 8.

Answers

Answer:

$11$

Step-by-step explanation:

we have

$(3)/(7)r+(5)/(8)s$

Substitute the values of $r=14$ and $s=8$ in the expression to evaluate

$(3)/(7)(14)+(5)/(8)(8)$

$=3*2+5$

$=6+5$

$=11$

3/7 (14) + 5/8 (8)

= 6 + 5

=11<answer

Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.