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Zanzabum
3 years ago
7

Ju-long is making punch. For every 3 cups of juice, he adds 6 cups of selzer Graph this relationship. Is there a proportional re

lationship between the cups of juice and cups of seltzer? EXPLAIN.
|y

|

|

|__________x
Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

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Find the median and mode(s)of the data set 53,53.5,57,54,54.5,47,55,54.5​
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Answer:

the median is the middle number.

and the mode is the number that occurs most.

so if we put everything in order

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If f(x)=3x+2,find f(f^-1(14)).
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<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

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x - 2 = 3y

\dfrac{x-2}{3}=y

\implies f^{-1}(x)=\dfrac{x-2}{3}

\implies f^{-1}(14)=\dfrac{14-2}{3}

\implies f^{-1}(14)=\dfrac{12}{3}

\implies f^{-1}(14)=4

f(f⁻¹(14)) = f(4)

              f(4) = 3(4) + 2

                     = 12 + 2

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NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

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Which rule explains why these triangles are congruent?
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