Relative extrema occur where the derivative is zero (at least for your polynomial function).
So taking the derivative we get
<span>20<span>x3</span>−3<span>x2</span>+6=0
</span><span>
This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.</span>
1.50 + 0.50(x-1) <u><</u> 25
1.50 + 0.50x - 0.50 <u><</u> 25
1 + 0.50x <u><</u> 25
<u>-1 -1</u>
0.50x <u><</u> 24
<u> ÷0.50 ÷0.50</u>
x <u><</u> 48
1.50 + 0.50x <u><</u> 25 ; x <u><</u> 47 miles 3rd option in the choices.
To check:
1.50 + 0.50(47) <u><</u> 25
1.50 + 23.50 <u><</u> 25
25 <u><</u> 25
Answer:
Well to estimate a decimal the best option would be to round it to.
10 or 11 (For 10.9)
11 (For 11.1)
and since two of them equal 11.
The estimation would be 11.
I hoped this helped.
The distance rounded to the nearest tenth is 333.7 kilometers
