The correct answer is A) 2:3 because 4/6 simplified is 2/3
An equation is formed of two equal expressions. The value of the constant of proportionality is 0.41.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given there exists a proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents. Therefore,
c ∝ j
c = kj
As the relation is represented by the equation c=0.41j. Therefore, the value of the constant of proportionality is 0.41.
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Answer:
No
Step-by-step explanation:
Flipping two coins is independent because the outcome of the first coin doesn't affect the outcome of the second coin. There is still a 1/2 chance of of getting heads or tails.
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The solutions to the equation
are k = 1 and 8
The given equation is:

Square both sides of the equation

Expand the left side of the equation above

Write the quadratic equation in standard form

Factor the quadratic equation

Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation
are k = 1 and 8
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Answer:
(-1, 1)
Step-by-step explanation:
Anything that is greater than -1/2 on the x-axis is included.