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.
2/5x=-20
x=-50
Explanation:
Whenever you take the 2/5 and divide it from -20 you are left with x=-50. Therefore, the value for x is -50.
Answer:
B
Step-by-step explanation:
26 letters 10 numbers no repeating
P(26,2)×P(10,4)
=26×25×10×9×8×7=3276000
Answer:
The set of all real values except 7
Step-by-step explanation:
We are given that,
Domain of the function f(x) is 'the set of all real values except 7'.
Domain of the function g(x) is 'the set of all real values except -3'.
It is required to find the domain of 
.
Now, we know that,
<em>The composition of functions 
and 
will be defined where the function is defined.</em>
Since, the domain of f(x) is 'the set of all real values except 7'.
Thus, the domain of is also 'the set of all real values except 7'.
38(4)+p(4)=210
152+p(4)=210
P(4)=58
58/4=14.5
It cost $14.5 for one person to rent a locker
