Answer: Check explanation
Step-by-step explanation: (3,-5), because that's the point where the two lines intersect.
Y=-2x+1
Y=-3/2x-1/2
Substitute the Y to get -2x+1=-3/2x-1/2
1/2x=3/2
x = 3
Now plug x into first equation: y=-2*3+1=-5
so the intersection point is (3,-5)
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
I think the answer is <span>2P = 12,000 but I might be wrong
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