Answer:
C. g(x) eventually exceeds f(x) because g(x) is increasing exponentially
Step-by-step explanation:
Comments on the other choices:
A -- an exponential function eventually exceeds any polynomial function. (A linear function is a polynomial of degree 1.)
B -- at x=13, f(x) = 17; g(x) ≈ 18.2, so g(x) is more
D -- over the given interval, the average rate of change of g(x) is about 1/2 (1 unit rise for 2 units run) compared to the slope of 1 that f(x) has.
Answer:
Take the first two expressions (you can actually take any two expressions): $\frac{a+b-c}{c}=\frac{a-b+c}{b}$.
$\frac{a+b}{c}=\frac{a+c}{b}$
$ab+b^2=ac+c^2$
$a(b-c)+b^2-c^2=0$
$(a+b+c)(b-c)=0$
$\Rightarrow a+b+c=0$ OR $b=c$
The first solution gives us $x=\frac{(-c)(-a)(-b)}{abc}=-1$.
The second solution gives us $a=b=c$, and $x=\frac{8a^3}{a^3}=8$, which is not negative, so this solution doesn't work.
Therefore, $x=-1\Rightarrow\boxed{A}$.
Step-by-step explanation:
Answer:
Volume of a cube= 1/8 cubic meter
We know that volume of a cube= side x side x side
= 
From here, we get side of cube= 
meter
Hence, the side of a cube = meter
We have to find a fraction, when it is multiplied by itself
x = 
Here we get our answer
Answer:
A.
Step-by-step explanation:
?
1,000 = 10^3 (3 because there are 3 digits after the first one)
2,000 = 2 * 10^3
