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Nezavi [6.7K]
3 years ago
15

Write an equation for that graph,where y depends on x. ____

Mathematics
2 answers:
Firlakuza [10]3 years ago
5 0

y = -2x + 6

Steps:

y = mx + b

m is slope

b is the y-intercept

m = -2

b = 6

plug in m and b

y = -2x + 6

jasenka [17]3 years ago
5 0

Answer: y=-3x+6

Step-by-step explanation:

The equation of a line (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

From the given graph , the line is passing through (2,2) and (0,6) is given by :_

(y-6)=\dfrac{6-0}{0-2}(x-0)\\\\\Rightarrow\ y-6=\dfrca{6}{-2}x\\\\\Rightarrow\ y=-3x+6

Hence, the equation of the graph : y=-3x+6

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A swimming pool has an average depth of 1.6 m. It is 50 m long and 30 m wide. What is the volume?
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8 0
3 years ago
(x^(2)-11x+30)/(x^(2)-25)*(x^(2)+6x+5)/(x-5x-6) simplify the rational expression
DanielleElmas [232]
Simplify the following:
((x^2 - 11 x + 30) (x^2 + 6 x + 5))/((x^2 - 25) (x - 5 x - 6))

The factors of 5 that sum to 6 are 5 and 1. So, x^2 + 6 x + 5 = (x + 5) (x + 1):
((x + 5) (x + 1) (x^2 - 11 x + 30))/((x^2 - 25) (x - 5 x - 6))

The factors of 30 that sum to -11 are -5 and -6. So, x^2 - 11 x + 30 = (x - 5) (x - 6):
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x - 5 x = -4 x:
((x - 5) (x - 6) (x + 5) (x + 1))/((x^2 - 25) (-4 x - 6))

Factor -2 out of -4 x - 6:
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x^2 - 25 = x^2 - 5^2:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (x^2 - 5^2) (2 x + 3))

Factor the difference of two squares. x^2 - 5^2 = (x - 5) (x + 5):
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((x - 5) (x - 6) (x + 5) (x + 1))/((x - 5) (x + 5) (-2) (2 x + 3)) = ((x - 5) (x + 5))/((x - 5) (x + 5))×((x - 6) (x + 1))/(-2 (2 x + 3)) = ((x - 6) (x + 1))/(-2 (2 x + 3)):
((x - 6) (x + 1))/(-2 (2 x + 3))

Multiply numerator and denominator of ((x - 6) (x + 1))/(-2 (2 x + 3)) by -1:

Answer: (-(x - 6) (x + 1))/(2 (2 x + 3))
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3 years ago
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Answer:

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Hence, the equation is false.

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2 years ago
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