In this case all you do is add all the numbers, answer is 100
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
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1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
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2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
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3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
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<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Answer: 1
y=1x-3
m=-3/-3=-1/-1=1
Answer:
Vertex: (13/6,-133/12)
Axis of symmetry: x=13/6
y-intercept: y=3
Step-by-step explanation:
Answer:
0.216
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.
The probability that an event a will happen or that another independent event b will happen is the sum of the probability that a will happen to the probability that b will happen.
The probability that the event B will occur 3 times in a row may be interpreted as BBB and in probability, "and" is interpreted as multiplication while "or" is addition.
Pr(BBB)
= 0.6 * 0.6 * 0.6
= 0.216
