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3 years ago

Help with the question below plz <3

Mathematics

2 answers:

Yanka [14]3 years ago

6 0

Hi!

Let's put in the value of x.

9 * 4 - 2 * 6 ___ 2(9 - 6)

Solve

36 - 12 ___ 2(3)

24 ___ 6

Now let's try all of the options and see which statement is true.

24 = 6 false

24 > 6 true

24 < 6 false

24 ≤ 6 false

The answer is 24 > 6

Hope this helps! :)

-Peredhel

beks73 [17]3 years ago

3 0

Hello!

Let's plug our x-value of 6 into each expression, evaluate our expression, and compare them using an inequality, which will be our answer.

9(4)-2(6)

36-12

2(9-6)

2(3)

As you can see, this gives us 24_6. As you can see, 24 is greater, so we will use the > inequality, giving us 24>6.

Therefore, our answer is B) >.

I hope this helps!

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3 years ago

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1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

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Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

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2 years ago

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see explanation and attachment

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2 years ago