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2 years ago

(5b-9)-3(8-2b) simplify the expressio

Mathematics

2 answers:

Ratling [72]2 years ago

8 0

Answer:

11 • (b - 3)

Step-by-step explanation:

Step by Step Solution

STEP1:STEP2:Pulling out like terms

2.1 Pull out like factors :

8 - 2b = -2 • (b - 4)

Equation at the end of step2: (5b - 9) - -6 • (b - 4) STEP3:STEP4:Pulling out like terms

4.1 Pull out like factors :

11b - 33 = 11 • (b - 3)

Final result :

11 • (b - 3)

dezoksy [38]2 years ago

5 0

First you can remove the first parenthesis and multiply 3 for the second one:

5b - 9 - 24 - 6b

Then you sum the similar terms

-33 - b

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2 years ago

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3 years ago

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is 76

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

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2 years ago