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malfutka [58]
3 years ago
9

Hannah has a bowl containing 54 goldfish crackers. She is eating crackers at a rate of 9 crackers every two minutes. What is the

slope of the line?
Mathematics
1 answer:
taurus [48]3 years ago
3 0
<span>The line would first have to have a negative slope, since she is consuming the crackers, leading to fewer crackers left in the bowl every minute. Since she is eating 9 crackers every two minutes, this would be a slope of (-9/2) to describe the number left in the bowl.</span>
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What is the solution of |2x + 3| = 3x + 5?
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Answer:

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Step-by-step explanation:

The given absolute value equation is

|2x+3|=3x+5

This implies that;

-(2x+3)=3x+5\:or\:2x+3=3x+5

-2x-3=3x+5\:or\:2x+3=3x+5

Group similar terms in both equations;

-2x-3x=5+3\:or\:2x-3x=5-3

-5x=8\:or\:-x=-2

x=-\frac{8}{5}\:or\:x=2

CHECK

|2(2)+3|=3(2)+5

|4+3|=6+5

7=11.

This false. Hence  x=2 is an extraneous solution.

When x=-\frac{8}{5}

|2(-\frac{8}{5})+3|=3(-\frac{8}{5})+5

|-\frac{16}{5}+3|=(-\frac{24}{5})+5

|-\frac{1}{5}|=\frac{1}{5}

\frac{1}{5}=\frac{1}{5}

This statement is true

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