Answer:
7/12
Step-by-step explanation:
1, 2, 3, 4, 5, 6, and 7, are all possible rolls less than 8. that's seven combos.
Seven out of twelve. That's 7/12. So the probability of rolling a number less than 8 on a 12 sided die is 7/12.
Answer:
y^6/x^2
Step-by-step explanation:
(y^3/2x^-1/2)^4= y^(4*3/2)x^(-1/2*4)=y^6x^-2= y^6/x^2
Answer:
y=-7x-9
Step-by-step explanation:
y=mx+b(where m is slope and b is y intercept)
y=-7x+b
plugging the number in we get
12=-7(-3)+b
12=21+b
b=-9
so y= -7x-9
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Answer:
the equation D ) would cause a consistent-independent system.
Step-by-step explanation:
A ) 5 x + y = 7 /*( -2 )
10 x + 2 y = 14
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- 10 x - 2 y = - 14
10 x + 2 y = 14
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0 x = 0 ( Dependent system )
B ) 5 x + y = 7 / * 3
- 15 x - 3 y = - 6
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15 x + 3 y = 21
- 15 x - 3 y = - 6
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0 x = 15 ( Inconsistent system )
C ) 5 x + y = 7
5 x + y = - 7 / * ( - 1 )
---------------------------
5 x + y = 7
- 5 x - y = 7
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0 x = 14 ( Inconsistent system )
D ) 5 x + y = 7 / * ( - 2 )
6 x + 2 y = 7
------------------
- 10 x - 2 y = - 14
6 x + 2 y = 7
-----------------------
- 4 x = - 7; x = 7/4; y = - 7/4