The equation of the first line can be written in point-slope form as
.. y = 3(x +1) -8
or
.. 3x -y = 5
The equation of the second line can be written in 2-point form as
.. y = (-1-3)/(10-(-6))*(x +6) +3
.. y = (-1/4)(x +6) +3
or
.. x +4y = 6
A graph shows the solution to this system is (x, y) = (2, 1).
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The second equation can be used to write an expression for x:
.. x = 6 -4y
This can be substituted into the first equation.
.. 3(6 -4y) -y = 5
.. 18 -13y = 5 . . . . . . . collect terms
.. 13 = 13y . . . . . . . . . add 13y-5
.. 1 = y . . . . . . . . . . . . divide by 13
From the above equation for x
.. x = 6 -4*1 = 2
With y coordinates down means subtracting and with x coordinations left means subtracting so to find coordinate K’ you take its coordinates (1,3) and do 1-3=-2 and 3-4=-1. K’ is at (-2, -1)
Grams of cocoa =30% of 50g=(30/100) * 50 g=(30 * 50 g)/100=15 g
Soltution: 15 g
Answer:
The probability that a single
randomly selected salary is at least 134000 dollars is 0.4871
Explanation;
See attached picture
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