3 years ago

Which of the following is an equivalent representation of 4^-4

Mathematics

2 answers:

12345 [234]3 years ago

8 0

The answer to the question is A. 1/64

nika2105 [10]3 years ago

7 0

1/64, because if its a negative exponent you use the reciprocal and then 4 to the fourth power is 64

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Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

Corrected Question

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

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2 years ago

How many points are used to define a plane? O zero O one O two three ree

Komok [63]

Answer:

it would be three

Step-by-step explanation:

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2 years ago

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Dafna1 [17]

A is the answer because of x is all the same

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The answer is 221,448,757.5
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16x+40 would be the answer you can’t solve it any further

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2 years ago

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