Let
be the root with the positive square root and
the root with the negative square root. Then
The simplest quadratic with these roots can be written as
(f-g)(x) = f(x) - g(x)
= (x^3 -2x+6) - (2x^3+3x^2-4x+2)
= x^3 -2x +6 -2x^3 -3x^2 +4x -2 . . . . distribute the negative sign
= (1-2)x^3 -3x^2 +(-2+4)x +(6-2) . . . . . combine like terms
(f-g)(x) = -x^3 -3x^2 +2x +4
Answer:
Step-by-step explanation:
volume of soil = 12×8×(12-2) = 960 in³
Answer:
( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2
Step-by-step explanation:
x^2 = - 7x - 8
x^2 + 7x + 8 = 0
Here,
a = 1
b = 7
c = 8
D = b^2 - 4ac
= 7^2 - 4 ( 1 ) ( 8 )
= 49 - 32
D = 17
x = - b ± √D / 2a
= - 7 ± √17 / 2 ( 1 )
x = ( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2
(I) $ 846
(II) 157.64 cm²
Step-by-step explanation:
(I)
The area of the rectangle is;
720 * 500 = 360,000
10,000 m2 = 1 hectare
Therefore to convert the area to hectare;
360,000 / 10,000
= 36
If the cost of spraying the pesticide is $23.50 per hectare, then total cost is;
36 * 23.50
= 846
(II)
To find the area of the trapezoid;
(sum of the parallel sides * height) / 2
Height is the diameter of the circle – 21 cm
((19 + 29)*21) / 2
= 504
Then the area of the circle;
πr²
π * (21/2)²
= 346.36
The shaded area;
Area of the trapezoid – area of the circle
504 – 346.36
= 157.64
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