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Goshia [24]
3 years ago
8

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0
The lower left one is the correct answer, as its given that the root is -8,-5,1,2, only that graph can fulfill all
Korvikt [17]3 years ago
5 0

Answer: bottom left graph

<u>Step-by-step explanation:</u>

"roots" are where the graph crosses the x-axis. The given roots of -8, -5, 1, and 2 are coordinates (-8, 0), (-5, 0), (1, 0), and (2, 0).  The only graph that has those coordinates is the one at the bootom left.

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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
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Answer: 4/9

Step-by-step explanation:

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3 years ago
19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Sonbull [250]

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 |

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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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