Answer:
the answer is 6
Step-by-step explanation:
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
96x² = 8x(12x)
88x = 8x(11)
GCF = 8x
Answer:
The average rate of change of f(x) from 2-3 is 0.176
Step-by-step explanation:
Rate of change= change in y / change in x
= log 3 - log 2 / 3-2
= 0.477-0.301 / 1
= 0.176