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3 years ago

Who wants to join a pad-let?

Mathematics

2 answers:

Ugo [173]3 years ago

7 0

Answer:

sure

Step-by-step explanation:

whats it gonna be about

Thepotemich [5.8K]3 years ago

4 0

Answer:

me bc im bored

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.

3 0

3 years ago

Answers ! Answers please ! I need to pass thanks....!

Tpy6a [65]

G(x) = 4x^2 + 24x + 30
g(x) = 4(x+3)^2 - 6

answer is <span> B. The graph of f(x) = x^2 is shifted left 3 units.
</span>
hope it helps

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3 years ago

Find the area of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

vova2212 [387]

Answer:

8x^2+4x-24

Step-by-step explanation:

A=LW

(4x-6)(2x+4)

8x^2-12x+16x-24

8x^2+4x-24

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Step-by-step explanation:

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