3 years ago

Which coordnates represent a point on the graph of 3y = 5x - 13?

1 answer:

3 0

(x,y)
sub given points and see if true

A, (0,-13)
x=0
y=-13
3(-13)=5(0)-13
-39=0-13
-39=-13
false (other user was just guessing)

B. (3,1)
x=3,
y=1
3(1)=5(3)-13
3=15-13
3=2
false

C. (7,7)
x=7
y=7
3(7)=5(7)-13
21=35-13
21=22
false

D. (-6,-1)
3(-1)=5(-6)-13
-3=-30-13
-3=-43
false

answer is none of them

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3 years ago

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chubhunter [2.5K]

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Step-by-step explanation:

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2 years ago

Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
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3 years ago