Maths-
General
Easy
Question
Find the Quotient and the domain .
Hint:
The expansions of certain identities are:
Finding the quotient is same as division. Dividing a number and multiplying it with a reciprocal of the number have the same effect.
We are asked to find the quotient and the domain of the expression.
The correct answer is: Hence, the domain is, (-∞,3)∪(3,∞).
Step 1 of 3:
The given expression is, 
.
Now, take the reciprocal of the second expression and multiply them,
Step 2 of 3:
Simplify the expression and cancel out the common factors,
Thus, the quotient is, 
.
Step 3 of 3:
The domain of a rational expression should exclude the value for which the denominator attains a zero value. Thus, we have:
Hence, the domain is, -∞,3)∪(3,∞).
We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
Related Questions to study
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Order from least to greatest
0.363636..... , √15 , 
Order from least to greatest
0.363636..... , √15 ,
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Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an in slope-intercept form to represent the distance Becky has left to run.
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Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
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The Approximate annual interest rate r of a monthly installment loan is given by the formula:
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
a. Find the approximate annual interest rate for a four year signature loan $20,000 that has monthly payments of $500.
Maths-General
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The line 
passes through the points 
.Find b, n, and p.
The line passes through the points .Find b, n, and p.
Maths-General
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Find the Quotient and the domain .
Find the Quotient and the domain .
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For What value of X is 
undefined ?
For What value of X is undefined ?
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Give an example of two irrational numbers whose product is rational .
Give an example of two irrational numbers whose product is rational .
Maths-General
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Find the Quotient and the domain .
Find the Quotient and the domain .
Maths-General
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A Basketball coach is considering three players for most valuable player . The table shows the proportion of shots each player made of the shots they attempted.
a) For a technical foul , the team can pick any player they want to shoot the free throw. Which player should the team pick ?
b) Which player is most successful with their field goal shots? Explain.
c) Rank the players by the percentage of the 3- point shots each made .
d) If all the players attempted the same number of shots , which player would you choose as the most valuable player? Justify your answer.
In this question, it can be explained further:
A. Kimberly: 0.857 > 4/5 > 71%
Here, Kimberly's free throws have the highest proportion.
B. Martin: 49.5% > 9/20 > 0.448
Here, Martin's proportion of field goals is the highest.
C. Corey: 0.338 > 1/3 > 32%
Kimberly > Corey > Martin
From the above explanation, we can conclude Kimberly is first, Corey is second, and Martin is third.
I'd go with Kimberly because he has a higher percentage on all shots than the other two players.
A Basketball coach is considering three players for most valuable player . The table shows the proportion of shots each player made of the shots they attempted.
a) For a technical foul , the team can pick any player they want to shoot the free throw. Which player should the team pick ?
b) Which player is most successful with their field goal shots? Explain.
c) Rank the players by the percentage of the 3- point shots each made .
d) If all the players attempted the same number of shots , which player would you choose as the most valuable player? Justify your answer.
Maths-General
In this question, it can be explained further:
A. Kimberly: 0.857 > 4/5 > 71%
Here, Kimberly's free throws have the highest proportion.
B. Martin: 49.5% > 9/20 > 0.448
Here, Martin's proportion of field goals is the highest.
C. Corey: 0.338 > 1/3 > 32%
Kimberly > Corey > Martin
From the above explanation, we can conclude Kimberly is first, Corey is second, and Martin is third.
I'd go with Kimberly because he has a higher percentage on all shots than the other two players.
Maths-
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Maths-General
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Write an expression that is equivalent to 
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Which expression can be used as part of a proof that shows the sum of a rational number and an irrational number is irrational ?
A. 
B. 
, where c is irrational
C. 
Which expression can be used as part of a proof that shows the sum of a rational number and an irrational number is irrational ?
A.
B. , where c is irrational
C.
Maths-General
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Find and simplify the ratio of the volume of Figure A to the Volume of Figure B.
Find and simplify the ratio of the volume of Figure A to the Volume of Figure B.
Maths-General
