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larisa [96]
3 years ago
5

A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

y = 5x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b

4 = 0 + b

4 = b

y = 5x + 4

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What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.
almond37 [142]

ANSWER


-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1


Multiply through by LCM of 15


(15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)





-10(2x-\frac{1}{2})\le 3x-15



Expand brackets to obtain,



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Group like terms



15+5\le 20x+3x




20\le 23x


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x\ge \frac{20}{23}


In interval form it is written as


[\frac{20}{23}, \infty)







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