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Pachacha [2.7K]
3 years ago
12

Explain how you know that 7/12 is greater than 1/3 but less than 2/3

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0
Simple, 7/12 is greater than 1/3 because 7/12=0.58333 and 1/3=0.333, 0.58333 is greater than 0.333. That is how I know that 7/12 is greater than 1/3. I know that 1/3 is less than 2/3 because 1/3=0.333 and 2/3=0.666, 0.333 is less than 0.666
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1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


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To find the y- intercept, plug x=0  

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4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


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Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




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<!> Brainliest is appreciated! <!>

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