The answer you are looking for is C
Answer:
(2x+1)/(x^2 -4)
Step-by-step explanation:
When you add fractions (or rational expressions) you need to express each of them over a common denominator, so you can add the numerators. (Parentheses or other grouping symbols are required.)
You factor the denominator on the left so you can see what factors are missing from the denominator on the right.
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<em>Numerical example</em>
Suppose you want to add the fractions 4/15 and 3/5. You would factor the denominator 15 into 3·5, so you can see that the fraction 3/5 needs to be multiplied by (3/3) in order to give it a denominator of 15. Once the two fractions have a common denominator, you can add their numerators.
4/15 + 3/5 = 4/15 + (3/5)(3/3)
= 4/15 + 9/15
= (4+9)/15 = 13/15
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<em>Comment on grouping symbols</em>
When a rational expression is typeset, the division bar of the fraction identifies the numerator and the denominator:
When you write it in plain text as ...
x - 1/x^2 -4
this becomes a 3-term expression:
(x) -(1/x^2) -(4)
which is very different from what you may intend. In order to match the original typeset expression, parentheses must be added to show the group in the numerator and the group in the denominator:
(x -1)/(x^2 -4)
The same holds for exponents. The superscript position in a typeset expression tells you what the exponent is. When you write the same thing in plain text, parentheses are needed to show the exponent group.
= 3^(x -1) ≠ 3^x -1
Answer:
10 buses are needed.
9 buses will only be able to take 468 people.
Explanation:
There are 461 + 20 = 481 people altogether needing transport. Each bus can take at most 52 people. The number of buses needed =
482 ÷ 52.
482 ÷ 52 = 9.25 buses. You might be tempted to round down to 9 buses (because of the 2 that follows the decimal) However, if there are 9 buses,
9 × 52 = 468 people can be taken There will still be
13 people to be transported. This is an example of where you need to round UP to the next whole number.
10 buses are needed. In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.
Answer:
7 x 5 = 35 or the amount lost
Step-by-step explanation:
Answer:
all of the above
Step-by-step explanation: