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3 years ago

9

Noemi wants to divide 2x2−x+4 by x−5 using synthetic division. Which answer shows the correct process

2 answers:

qaws [65]3 years ago

8 0

The 4th option is the correct answer.

Explanation:

Here we will place the opposite of the number of the divisor in the top left box. Now we will bring down the coefficient of the squared term or 2. Now, we will multiply the number in the top left box or 5 with the times of the coefficient of the squared term. This gives 10 and we will place 10 in the second column. This column now contains -1 and 10 and adding these we get 9. Now we will multiply 5 with the result of the second column or 9 to get 45, We will place 45 in the third column which already has 4, and adding both we get 49.

Alika [10]3 years ago

5 0

Answer:

the 4th option!

Step-by-step explanation:

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soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

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

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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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