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babymother [125]
3 years ago
8

What is the x coordinate?

Mathematics
1 answer:
mash [69]3 years ago
7 0
X=16 put 5 in the place of Y Then solve for X
5=1/2x-3 add three on both sides
8=1/2x multiply 2 on both sides
16=x
x=16 And thats your answer
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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
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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

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Someone please give me the answers...And thank you
ale4655 [162]

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

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