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zaharov [31]
3 years ago
13

Apply the properties of exponents to rewrite each expression in the form kxn, where nn is an integer and x≠0

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

The final expression will be 0.3125x^{-13}

Step-by-step explanation:

We have given expression 5((x^3)^{-3})2x^{-4}

We know the property of exponent that when there is exponent to exponent then both exponent are multiplied with each other

So 5((x^3)^{-3})2x^{-4}=5x^{-9}\times 0.0625x^{-4}

Now again there is property of exponent that when there is multiplication of two function then exponent will be added

So 5x^{-9}\times 0.0625x^{-4}=0.3125x^{-13}

So the final expression will be 0.3125x^{-13}

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Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).
True [87]

Answer: f(2) = 4

Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

Lim x=2 [3f(x) + f(x)g(x)] = 36

g(x) = 2

Limit x=2

[3f(2) + f(2)g(2)] = 36

[3f(2) + f(2) . 6] = 36

[3f(2) + 6f(2)] = 36

9f(2) = 36

Divide both sides by 9

f(2) = 36/9

f(2) = 4

7 0
3 years ago
Which system is equivalent to
sammy [17]

<u>Answer:</u>

D) 6x^2 - 8y^2 = 50

-6x^2 - 2y^2 = 11

<u>Step-by-step explanation:</u>

We are given the following two expressions:

3x^2-4y^2=25

and

-6x^2-2y^2=11

Now if we look at the option D) 6x^2 - 8y^2 = 50&#10; and -6x^2 - 2y^2 = 11, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.

6x^2 - 8y^2 = 50\\\\2(3x^2-4y^2) = 50\\\\3x^2-4y^2 = \frac{50}{2} \\\\3x^2-4y^2=25

and the later part -6x^2 - 2y^2 = 11 is already the same.

Therefore, the correct answer option is D)  6x^2 - 8y^2 = 50

-6x^2 - 2y^2 = 11.

6 0
3 years ago
Read 2 more answers
How do you do it please and thank you?
anygoal [31]
1) factor to see if you can get anything to cancel out before you multiply
2) the rest of my work is shown in the picture attached
3) the answer is n^2

4 0
3 years ago
joe and marty are in the park playing catch. tony joins them, and the boys want to stand so that the distance between any two of
Snezhnost [94]

Answer:

not sure what the answer is

3 0
3 years ago
State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay
marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

  • The rule for Converse is: Interchange the two statements.
  • The rule for Inverse is: Negative both statements.
  • The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

q \rightarrow p

Inverse: If it doesn't snows tonight, then I will not stay at home.

\sim p \rightarrow \sim q

Contrapositive: If I will not stay at home then it doesn't snows tonight.

\sim q \rightarrow \sim p

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

q \rightarrow p

Inverse: I don't go to the beach whenever it is not a sunny summer day.

\sim p \rightarrow \sim q

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

\sim q \rightarrow \sim p

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

q \rightarrow p

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

\sim p \rightarrow \sim q

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

\sim q \rightarrow \sim p

7 0
3 years ago
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