Which expression is equivalent to 9^36/9^3 ? A) 1/9^12 B) 9^33 C) 9^12 D) 9^39

Mathematics

2 answers:

Fynjy0 [20]3 years ago

7 0

Answer:

B)9^33

Step-by-Step

9/36=1/4

Which equals 9^33

alexira [117]3 years ago

4 0

Answer:

$\huge\boxed{\dfrac{9^{36}}{9^3}=9^{33}\to\mathbb{B)}}$

Step-by-step explanation:

$\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m},\ \text{for}\ a\neq0.\\\\\text{We have}\ \dfrac{9^{36}}{9^3}=9^{36-3}=9^{33}$

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Using the graph of f(x) below, find limit as x approaches negative 1 of f of x. (4 points)

Rama09 [41]

Answer:

The limit of the function as x approaches to -1, is -1 and the option 4 is correct.

Step-by-step explanation:

According the the definition of limit, if,

$L=\lim_{x\rightarrow a^+}f(x)=\lim_{x\rightarrow a^-}f(x)$

Then the limit of function exist. Either the function is defined or not on the point a. If the at point a the value value of function is L, then the function is continuous.

From the given graph it is easily noticed that the value of f(x) approaches to -1 as x approaches to -1 from left or left. At x=-1 there is a open circle on (-1,-1), therefore this is not included in the function.

The value of f(x) is 2 at x=-1 because of the point (-1,-2).

$\lim_{x\rightarrow -1^+}f(x)=\lim_{x\rightarrow -1^-}f(x)=-1$