Easy peasy

the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))

A.

section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24

section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216

section A has an average rate of change of 24
section B has an average rate of change of 216

3 0

4 years ago

Which has the same solution as 2 (x+4)=-7-3x

pentagon [3]

2(x+4)=2x+8=-7-3x switch 3x+2x=-7-8=-15=5x so x=-15/5=-3

3 0

3 years ago

Find the domain of f(x)=x-9/x squared-81

vagabundo [1.1K]

$f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}$

7 0

4 years ago

3/4 and 16/20 equivalent

Sergeeva-Olga [200]

1.55

3/4 and 16/20 equivalent = 3/4 + 16/20 = (?)

$\boxed{3/4+16/20=1.55}$

7 0

3 years ago