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3 years ago

What is the expanded form of the series represented below?

Mathematics

2 answers:

kirill [66]3 years ago

5 0

Answer:

See below

Step.-by-step explanation:

Choice A has first term -3 and common difference 5. The formula for the kth term is -3 + (k - 1)5. It is an arithmetic series.

The required expanded form for the Sum is:

S5 = ∑ [-3 + (k - )5)]

k = 1

natka813 [3]3 years ago

3 0

Answer:

Expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

Step-by-step explanation:

when k=1 -3+(k-1)5= -3

when k=2 -3+(k-1)5= -3+5=2

when k=3 -3+(k-1)5= -3+10=7

when k=4 -3+(k-1)5= -3+15=12

when k=5 -3+(k-1)5= -3+20=17

Hence, value of $S_{5}= -3+2+7+12+17$

Hence, expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

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The diagram shows two parallel lines and a traversal. If the measure of ∠2 is 47°, what is the measure of ∠3?

goldenfox [79]

Answer:

The answer is b.133

Step-by-step explanation:

180 is a straight line and if angle 2 is 47 then angle 3 would be 133 because 133+47=180

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4 years ago

The system of equations is given:

Nutka1998 [239]

Answer:

x=-1/85; y=-283/85; z=2/17

Step-by-step explanation:

Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:

$\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]$

To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:

$\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]$

By applying the Gaussian elimination, the final matrix is the following:

$\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]$

In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

$2(-1/85)-4(-283/85)+6(2/17)=14\\9(-1/85)-3(-283/85)+1(2/17)=10\\5(-1/85)+9(2/17)=1$

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3 years ago

Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression

Vlad1618 [11]

Answer:

Step-by-step explanation:

Given the expression (x+11)(2x+3)

We want to expand it and write equivalent expression

Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other

E.g, (a+b) × (c + d)

Then, we take a × (c+d) and also b × (c+d)

We can do it the other way round too and it will give the same results.

So, applying this to the given expression

(x+11)(2x+3)

x(2x+3) + 11(2x+3)

2x² + 3x + 22x + 33

2x² + 25x + 33

Then, the equivalent expression is 2x² + 25x + 33

(x + 11)(2x + 3) = 2x² + 25x + 33

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Lunna [17]

Answer:

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Step-by-step explanation:

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3 years ago