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seraphim [82]
3 years ago
11

Which of the following lists of ordered pairs is a function? A. (2, 4), (0, 2), (2, -4), (5, 3) B. (1, 2), (1, -2), (3, 2), (3,

4) C. (0, 2), (2, 3), (0, -2), (4, 1) D. (1, 6), (2, 7), (4, 9), (0, 5)
Mathematics
2 answers:
Blababa [14]3 years ago
8 0
B
..........................
Angelina_Jolie [31]3 years ago
4 0
D.
Because a function has to pass the "vertical line test" meaning that no two points can have the same X value
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Dave rented a limousine for his wife's birthday. The hourly rate is $80. They used the limousine for 4 hours, plus Dave gave the
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2 years ago
Lena is 10 years old. She asks her dad how old he is. He tells her that the lowest common multiple of their ages is 14 times the
Ksju [112]

Answer:

  35

Step-by-step explanation:

We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.

Apparently, the dad's age is 5·7 = 35.

___

The GCF is 5; the LCM is 70 = 5×14.

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Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...

  (2 [5) 7]

where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.

Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.

7 0
3 years ago
In a sheet metal operation, three identical notches and four identical bends are required. If the operations can be done in any
goldfiish [28.3K]

Answer:

<h2>There are 5040 different possible sequences.</h2>

Step-by-step explanation:

Three identical notches and four identical bends are required in the sheet metal operation.

In total 7 things are required in the metal operation.

We can think it as we need to put the 3 notches and 4 bends in 7 places.

First, lets put the 3 notches in 3 places.

In order to do so, we need to choose 3 places from the 7 places.

We can choose 3 places in \frac{7!}{3!\times4!} = \frac{5\times6\times7}{6} = 35 ways.

The 3 notches can be arrange in 3! = 6 ways.

The 4 bends can arrange in 4! = 24 ways.

Thus, in total 35\times24\times6 = 5040 different possible sequences.

3 0
3 years ago
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