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3 years ago

I will give crown for answer

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

31 cups because 38 cups fit into 9 1/2 quarts so subtract 7 from 38 you get 31

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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.

3 0

3 years ago

Three dogs are sitting in a line. Rocky is not last. Coco is in front of the tallest dog. Marley is sitting directly behind Rock

Pachacha [2.7K]

Answer:

The correct answer is down below:

Step-by-step explanation:

Coco is the first dog in line; followed by Rocky who is in the middle from Marley. And Marley is the last dog in line. (use the context clues to find the answer of your question).

1. Coco

2. Rocky

3. Marley

4 0

3 years ago

Mrs. Henson's rectangular afghan is 2 feet

JulsSmile [24]

Answer:

The width is 4

Step-by-step explanation:

If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.

5 0

3 years ago

Verify x + 1⁄2 is a factor of P(x)= x2 + x -2

kumpel [21]

Answer:

Put p(x)=0.

Step-by-step explanation:

2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.

8 0

3 years ago

Robert makes $951 gross income per week and keeps $762 of it after tax withholding. How many allowances has Robert claimed? For

MAXImum [283]

Answer:

Option D,four is correct

Step-by-step explanation:

The tax withholding from the gross income of $951 is the gross income itself minus the income after tax withholding i.e $189 ($951-$762)

The percentage of the withholding =189/951=20% approximately

Going by the multiple choices provided,option with 4,189 dollars seems to the correct option as that is the exact of the tax withholding on Robert's gross income and his earnings fall in between $950 and $960

4 0

3 years ago