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Crazy boy [7]
4 years ago
15

Select the rational expression that is equivalent to the given expression below. 4 over x - 3

Mathematics
1 answer:
Ad libitum [116K]4 years ago
4 0
When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number: \frac{1}{3}. in our rational number the denominator is 1, and the numerator is 3

Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation: \frac{4}{x-3}. In this case, the numerator is 4, and the denominator is x-3.

We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>\frac{4}{x-3}.

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4 years ago
Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.
Dahasolnce [82]

<em>Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept. </em>

The complete Question:

Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.

a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Answer:

Part a)

An expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>n=\frac{k}{2} -4

Part b)

Keenan could not have started with 6 strawberries

Step-by-step explanation:

Part a) <em>Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.</em>

Let k be the total number of strawberries which Keenan has.

So,

\frac{k}{2} is the number of strawberries Keenan gave to Tisha.

As Tisha keeps 4 strawberries and gives the rest to Suvi. Let n be the number of strawberries which Suvi has.

So,

n=\frac{k}{2} -4

\frac{k}{2}=n+4

k=2n+8

Therefore, an expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>n=\frac{k}{2} -4

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Considering the expression for the number of strawberries Tisha gives to Suvi

n=\frac{k}{2} -4

Putting k = 6 in the expression

n=\frac{6}{2} -4

Solving the expression

n=3-4         ∵ \mathrm{Divide\:the\:numbers:}\:\frac{6}{2}=3

\mathrm{Subtract\:the\:numbers:}\:3-4=-1

n=-1

So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.

Therefore, Keenan could not have started with 6 strawberries.

Keywords: word problem, expression

Learn more about word problem from brainly.com/question/3196729

#learnwithBrainly

3 0
3 years ago
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