8-2(3x+5)=0
8(-6x-10)=0
-48x-80=0
-48x=80
x= -8/5 or -1.6
Answer:
5/6, 5/8, 5/11, 5/19
Step-by-step explanation:
The larger the denominator, the smaller the sections
Area of circle=Πrsquare
A=Πx5x5
A=78.5
Area of rect 10x9=90
Tsurface =168.5
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.