Answer:
the slope or gradient is 8/2=4
Find the slope: m=(19.00-13.60)/(2003-1998)=1.08
so we have y=1.08x +b
next, use the point (2003, 19.00) to find b:
19.00=1.08*2003 +b =>b=-2144.24
so the equation is y=1.08x-2144.24
Step-by-step explanation:
3/8x-1/3x+6=x
(3(3x)-1(8x))/24=x-6
(9x-8x)=24(x-6)
x=24x-24×6
x=24x-144
144=24x-x
23x=144
x=144/23
Answer:
b = (5±√17)/4 ≈ {0.2192, 2.2808}
Step-by-step explanation:
The average on the interval is found from the integral ...

We want the value of this integral to be 5, so we want to find b such that ...
5 = -2b^2 +5b +4
2b^2 -5b +1 = 0
b^2 -5/2b = -1/2
b^2 -5/2b +25/16 = -1/2 +25/16
(b -5/4)^2 = 17/16
b = (5±√17)/4
The average value of f(x) is 5 on the intervals ...
[0, (5-√17)/4] and [0, (5+√17)/4]