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Zarrin [17]
3 years ago
6

Find the least common denominator for these two rational expressions,

Mathematics
2 answers:
kap26 [50]3 years ago
5 0

Answer:

(y + 2)²(y + 4)

Step-by-step explanation:

Factor the denominators of both fractions

y² + 4y + 4 = (y + 2)²

y² + 6y + 8 = (y + 2)(y + 4)

The least common denominator is (y + 2)²(y + 4)

Artyom0805 [142]3 years ago
3 0

Answer:

Step-by-step explanation:

y²+4y+4=(y+2)² =(y+2)(y+2)

y²+6y+8 = (y+2)(y+4)

the least common denominator for these

two rational expressions is : (y+2)²(y+4)

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Do I have to solve this before graphing it and if so how do I go about it?
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Given the System of Equations:

\begin{cases}y=4x-1 \\  \\ y=x-4\end{cases}

The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.

In order to graph it, you can find the x-intercepts and the y-intercepts:

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y=mx+b

Where "m" is the slope of the line and "b" is the intercept.

In this case, you can identify that the y-intercept of the first line is:

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And the y-intercept of the second line is:

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\begin{gathered} y=4x-1 \\ 0=4x-1 \\ 1=4x \\  \\ \frac{1}{4}=x \\  \\ x_1=0.25 \end{gathered}

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\begin{gathered} y=x-4 \\ 0=x-4 \\ 4=x \\ x_2=4 \end{gathered}

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4. Knowing those points, you can graph the lines:

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