Line p is perpendicular to S and the equation is y=x +3 which is D
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
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The linear equation that describes the pattern in the cost of renting a car is given by:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:

When d = 4, c = 161, and this is used to find b.



Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744
The correct answer is that a factor of f(x) is (x+1)
This is due to the zero product property, which states that if two binomials multiply to 0, then one of its factors must equal 0.
(x+1) must equal 0.
(x+1)=0
x=-1
If (x-1)=0, then x would equal 1 instead of -1 which is what the question is asking for.