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Find Slope
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y = -1/3 x + 4
Slope = -1/3
Slope of the parallel line = -1/3
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Insert slope into y = mx + c
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y = -1/3 x + c
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Find y-intercept
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y = -1/3 x + c
at point (6, 5)
5 = -1/3 (6) + c
5 = - 2 + c
c = 5 + 2
c = 7
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Insert y-intercept into y = -1/3x + c
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y = -1/3 x + 7
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Answer: y = -1/3 x + 7 (Answer B)
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Answer:
Part A = C
Part B = 1/12
Step-by-step explanation:
Part A= this is because you need all the outcomes from the coin and from the dice joined together .
Part B= Because there is only one outcome that shows how you get a head on the coin and 6 on the dice.
Answer:
Outstanding balance after two months payments = 7893.33
Step-by-step explanation:
Interest accrued every month = I = PRT/100
P = 8000
R = 8%
T = 6
I = (8000 x 8 x 6) ÷ 100 = 3840
Amount paid every month = (8000 + 3840) ÷ 6 = 1973.33
Hence amount paid after two months = 2 x 1973.33 = 3946.67
Outstanding balance after two months payments = 8000 +3840 - 3946.67 = 7893.33
I think the correct answer from the choices listed above is option A. The completely factored formed of the function xy^3 – (x^3)y would be xy (x+y) (x-y). It is factored as follows:
<span>xy^3 – x^3y
xy (y^2 - x^2)
xy (x+y) (x-y)
</span><span>
</span>
8 x² + 14 x + 5 = 0
2 ( 4 x² + 7 x ) = - 5
2 ( 4 x² + 7 x + 49/16 - 49/16 ) = -5
2 ( 4 x² + 7 x + 49/16 ) - 98/16 = - 5
2 ( 2 x + 7/4 )² = - 5 + 98/16
2 ( 2 x + 7/4 )² = -80/16 + 98/16
2 ( 2 x + 7/4 )² = 18/16 = 9/8 / : 2
( 2 x + 7/4 )² = 9/16 / √
2 x + 7/4 = 3/4
2 x = 3/4 - 7/4 = -1
x = - 1
and 2 x + 7/4 = -3/4
2 x = -7/4 - 3/4 = - 10/4= -5/2
x = - 5 / 4
