2 years ago

Help me with this urgent due in 5 min

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer:

The last option

Step-by-step explanation:

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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]

<u>Corrected Question</u>

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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3 years ago

3: convert into a fraction

Leno4ka [110]

5^(-3) = 1/5^3 = 1/125

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3 years ago

Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per

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$4,200 at 4%, $9,800 at 7%

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A student flips a coin 58 times. How many times can she expect the coin to land on heads.

goldenfox [79]

Well there’s two sides of a coin
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eduard

Answer:

=13x+12

Step-by-step explanation:

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2 years ago

Help me with this urgent due in 5 min​

Help me with this urgent due in 5 min