Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
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A graphing calculator confirms this result.
Hi,
4 > 0, it's correct so 4 is a solution.
0 < 7
, the same as the first.
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
-------------add
-x = -2
x = 2
5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
9,000 that will be you answer or if is double will be 18,000
Let the two integers be x and y respectively
Hence;
From the first equation ;
Substitute into the third equation
Open up the bracket
Take everything to the right hand side of the equation and you'll have a quadratic equation
Solve the quadratic equation and you'll have two roots
Substitute for each value of y in the first equation
Therefore:
Therefore the answer is A
