Solve the proportion2x + 1/x + 1 = 14/3x-1

2 answers:

monitta4 years ago

6 0

$\frac{2x+1}{x+1} = \frac{14}{3x-1} \ \ \Leftrightarrow\ \ (2x+1)(3x-1)=14(x+1)\ \ and\ \ x\in R-\{-1; \frac{1}{3}\}\\ \\6x^2-2x+3x-1=14x+14\\6x^2-13x-15=0\ \ \Rightarrow\ \ \Delta=(-13)^2-4\cdot6\cdot(-15)=169+360=529\\ \\ \sqrt{\Delta} =2\\ \\x_1= \frac{13-23}{2\cdot6} = \frac{-10}{12}=- \frac{5}{6}\ \in D\ \ \ and\ \ \ x_2= \frac{13+23}{2\cdot6} = \frac{36}{12}=3\ \in D$

bazaltina [42]4 years ago

4 0

2x+1/x+1=14/3x-1
find their lcm which is (x+1)(3x-1)
(2x+1)(3x-1)=14(x+1)
6x^2+x-1)=14x+14
6x^2-13x-15=0
(6x+5)(x-3)=0
X=-5/6 or x=3

um hope this helps

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P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
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3 years ago

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ehidna [41]

Simple...

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3 years ago

Read 2 more answers

find the x-intercepts of the parabola with vertex(6,27) and y-intercept (0,-81). write answer in form (x1,y1)(x2,y2). if necessa

sergey [27]

The vertex form of the equation is:
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a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
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The x-intercepts are ( 3, 0 ) and ( 9, 0 ).

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3 years ago

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dlinn [17]

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

Multiply (-4.5t)(49.5t):

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