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Annette [7]
3 years ago
15

PLS HELP 35 POINTS

Mathematics
2 answers:
vlabodo [156]3 years ago
5 0

Answer:

Slope: -2

Y - Intercept: 5

Slope - Intercept Form: y=-2x+5

Step-by-step explanation:

leonid [27]3 years ago
3 0

Answer:

y=-2x+5, Slope:-2 , Intercept:5

Step-by-step explanation:

Mark brainliest

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
Can someone please help me with this
vaieri [72.5K]

Answer:4 in each package

Step-by-step explanation:

3 0
2 years ago
Complete the graph below with 3 points plotted to earn 30 points and brainliest :))
Firdavs [7]

Answer:

Point 1: (-5.03, 0.001)

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Step-by-step explanation:

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3 years ago
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Answer:

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muminat

Answer:

Step-by-step explanation:

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