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ira [324]
3 years ago
13

What are the x intercepts for 5/x + 1/3x = 4x/3

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0
\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}

now, the cheap answer will be, let's just get the LCD of all those fractions, hmm let's see is 3x, and multiply all the fractions by the LCD, that way, getting rid of the denominators.

\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}\impliedby \times \stackrel{LCD}{3x}
\\\\\\
\boxed{3x}\cdot \cfrac{5}{x}+\boxed{3x}\cdot \cfrac{x}{3}=\boxed{3x}\cdot \cfrac{4x}{3}\implies 15+x^2=4x^2\implies 15=3x^2
\\\\\\
\cfrac{15}{3}=x^2\implies 5=x^2\implies \pm\sqrt{5}=x
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Step-by-step explanation:

5 0
3 years ago
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Jet001 [13]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.
True [87]
Question 1:

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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

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Insert slope into the general equation y = mx + c
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y = 5x + c

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Find y-intercept
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At point (2, -1)
y = 5x + c
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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11

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Answer: y = 5x - 11
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Question 2:

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Find Slope
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y = 9x 
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Insert slope into the equation y = mx + c
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y = 9x + c

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Find y-intercept
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y = 9x + c
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Insert y-intercept into the equation
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y = 9x + c
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7 0
3 years ago
Armando got a job selling bags of peanuts at the local art festival. He is paid a fixed amount of $320 per
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0.67n + 320

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= 288.1 + 320

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0.67n = 728.70 - 320

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6 0
2 years ago
Someone plz help me with this
Phoenix [80]

Answer:

5y^{6}\sqrt{2}

Step-by-step explanation:

We want to  simplify:

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Simplify the square root for the perfect squares to get:

5y^{6}\sqrt{2}

Therefore the simplified form is: 5y^{6}\sqrt{2}

8 0
3 years ago
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