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3 years ago

How do i tell if a relation is a function?

Mathematics

1 answer:

kramer3 years ago

4 0

You can set up the relation as a table of ordered pairs.

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What is the percent of 12000 to 150

soldier1979 [14.2K]

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3 years ago

What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago

What is the quotient and remainder of 26 divided by4

Sphinxa [80]

Answer:

6 with a remainder of 2

Step-by-step explanation:

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What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18

Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

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3.The _________ of sets is the set of all the members of both sets without repeating any of the members in the sets.

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Answer:

4.Ans: intersection part of set

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