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tia_tia [17]
3 years ago
9

(8x+5)+(4x-3) what is that equal to

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Answer:

12x + 2

Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

(8x + 5) + (4x - 3)        Remove brackets to add a binomial (2-term brackets)

= 8x + 5 + 4x - 3        Collect like terms

= 8x + 4x + 5 - 3        I rearranged so you can see which terms are alike

= 12x + 5 - 3        Collected like terms with "x" (8x + 4x = 12x)

= 12x + 2        Collected like terms with no variables (5 - 3 = 2)

Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.

12x + 2

= 2(12x/2 + 2/2)

= 2(6x + 1)        This is equal, but in factored form.

nata0808 [166]3 years ago
3 0

Answer:

12x+2

Step-by-step explanation:

8x+4x=12x

5-3=2

12x+2

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I suppose a_n denotes the n-th term of some sequence, and we're given the 3rd and 5th terms a_3=2 and a_5=16. On this information alone, it's impossible to determine the 100th term a_{100} because there are infinitely many sequences where 2 and 16 are the 3rd and 5th terms.

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The arithmetic case seems more likely since the final answer is a simple integer, but that's just my opinion...

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