Answer:
The rate of change is "-3". Which means the rate at which the tractor uses fuel.
Step-by-step explanation:
The equation describes a line and any line follows the equation:
y = m*x + c
Where "m" is the rate of change and "c" is the shift on the line. Comparing the equation for the fuel and the equation from the line, the rate of change must be "-3". The rate of change in this context describes the speed at which the tractor uses fuel, at a rate of 3 gallons per hour.
44 chicken and 28 rabbits
Given:
chicken head + rabbit head = 72 heads
chicken feet + rabbit feet = 200 feet
c + r = 72
2c + 4r = 200
find the value of c using the 1st equation:
c = 72 - r
substitute c by its value in the 2nd equation:
2c + 4r = 200
2(72-r) + 4r = 200
144 - 2r + 4r = 200
2r = 200 - 144
2r = 56
r = 56/2
r = 28
c = 72 - r
c = 72 - 28
c = 44
c = 44 ; r = 28
To check:
2c + 4r = 200
2(44) + 4(28) = 200
88 + 112 = 200
200 = 200
the first one y= 4x (8 - x)
Step-by-step explanation:
y = 5x^2 + 2x - 1
The maximum degree of polynomial is 2 expressed by 5x^2.
The min is -1.
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From the angle bisector theorem
15/3 = (4x+1)/5
5 = (4x+1)/5
4x+1 = 25
4x = 24
x = 6
