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gulaghasi [49]
3 years ago
11

What expressions are equal to1/3⁶

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0
1/729
hope it helps :)
please mark brainliest!!!
8090 [49]3 years ago
4 0

Answer:

assuming that it is  (1/3)^{6} that would be

  \frac{1}{729}

Step-by-step explanation:

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This is my last question please help asap!!
Ivanshal [37]

The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     rate(m) = \frac{f(b)-f(a)}{b-a}

The given function is  g(x) = 5(2)^{x},

Now calculating the average rate of change of function from x = 1 to x = 2.

                               m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1  

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1 year ago
Refrer to the attached picture on which question is written. This question will be done according to Pathagoras theorem. This qu
Dvinal [7]

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3 years ago
Consider the line y = x – 4. A line parallel to the graph of the line would have a slope of . A line perpendicular to the graph
kotykmax [81]

Answer:

A. 1

B. -1.

Step-by-step explanation:

We have been given an equation of a line y=x-4.

A. We know that slope of parallel lines is always equal,

We can see that slope of our given line is 1, therefore the slope of the line parallel to our given line would be 1.

B. We know that the product of slopes of two perpendicular lines is -1.

Let m represent slope of perpendicular to our given line, then:

m\times 1=-1

m=-1

Therefore the slope of the line perpendicular to our given line would be -1.

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3 years ago
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