Answer:
Option B gives the directly proportional relation.
Step-by-step explanation:
If a function can be written as in the form y = kx ........... (1), where x is the independent variable, y is the dependent variable and k is the proportionality constant.
Now, from the given four tables in options, the table in option B only satisfies this relation between x and y.
The ordered pairs in the option B are (1,0.5), (2,1), (3,1.5) and (4,2).
Now, take any two pairs of coordinates and find the equation of the function that satisfies all four points.
Taking (1,0.5) and (2,1) points, the equation of the straight line will be
⇒ 2(y - 1) = x - 2
⇒ 2y = x
⇒ 
............. (2)
Therefore, this equation (2) is similar to equation (1) and hence this table is directly proportional relationship. (Answer)
Answer:
I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.
Step-by-step explanation:
idk if that's the same question i had, but that was the answer for mine. hehehe good luck.
is that on edge?
Answer:
This question is growth because the number 7/3 is greater than 1. basically the number in front or the a value is greater than one is growth and if the number is between 1 and zero it is decay
Step-by-step explanation:
<h3>
Answer: Choice C. |x+3| < 5</h3>
=======================================================
Explanation:
Let's go through each answer choice and solve for x
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Choice A
|x+3| < -5
This has no solutions because |x+3| is never negative. It is either 0 or positive. Therefore, it can never be smaller than -5. So we can rule this out right away.
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Choice B
|x+8| < 2
-2 < x+8 < 2 .... see note below
-2-8 < x+8-8 < 2-8 ... subtract 8 from all sides
-10 < x < -6
We will have a graph where the open circles are at -10 and -6, with shading in between. This does not fit the original description. So we can rule this out too.
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Choice C
|x+3| < 5
-5 < x+3 < 5 .... see note below
-5-3 < x+3-3 < 5-3 .... subtracting 3 from all sides to isolate x
-8 < x < 2
We found our match. This graph has open circles at -8 and 2, with shading in between. The open circles indicate to the reader "do not include this value as a solution".
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note: For choices B and C I used the rule that 
turns into 
where k is some positive number. For choice A, we have k = -5 which is negative so this formula would not apply.
K = y/x
k = 30/2
k = 15 <=== constant of proportionality
