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trasher [3.6K]
3 years ago
8

Find the domain for the rational function f(x) = x-5/2x-3

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

the domain of f(x) is set of all real numbers except 3/2

Step-by-step explanation:

Since the denominator cannot equal 0,  2x - 3 ≠ 0

                                                                        2x ≠ 3

                                                                          x ≠ 3/2

Any real number can replace x in the numerator.  

So, the domain of f(x) is all real numbers except 3/2

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4 years ago
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0
3 years ago
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