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galben [10]
3 years ago
7

Combine the like terms -6m + 4m. Simplify your answer

Mathematics
2 answers:
Temka [501]3 years ago
6 0

Answer:

-2m

Step-by-step explanation:

-6m + 4m

Combine like terms by performing the operation between the coefficients. In this case, one must add the different coefficients, yet since one of the coefficients is negative, then adding the two coefficients is the same as subtracting the two terms.

-6m + 4m

= -2m

Salsk061 [2.6K]3 years ago
4 0
It would be -2m have a good night
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4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

First term: -20     Common Difference: 2.5

Explicit Rule:  a_n=2.5n-22.5       Recursive Rule: a_1=-20,\ a_n=a_{n-1}+2.5

5.

a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

First term: 123      Common Difference: 8

Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

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