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mart [117]
3 years ago
10

HELPP!! Select the correct answer. What is the left-hand limit of as x approaches 4?

Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

\displaystyle\\\lim_{x\to4^-}\dfrac{|x-4|}{x-4}=\lim_{x\to4^-}\dfrac{-(x-4)}{x-4}=\lim_{x\to4^-}-1=-1

wolverine [178]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

|x-4|=x-4 when x-4 is positive or zero.

|x-4|=-(x-4) when x-4 is negative or zero.

x-4 is positive or zero means:

x-4>=0

Add 4 on both sides gives:

x>=4

x-4 is negative or zero means:

x-4<=0

Add 4 on both sides gives:

x<=4

Now we are approaching values of 4 from the left which means these values are less than 4 which makes x-4 negative.

So we are using:

|x-4|=-(x-4) when x-4 is negative or zero.

As x approaches 4 from left we have:

|x-4|/(x-4)=-(x-4)/(x-4)=-1.

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The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next
LenaWriter [7]

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

= 2\pi \: r

= 2 × 3.14 × 6 inches

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Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

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4 0
3 years ago
Whats -5n+12n+9+(-3) some one help me with this one
nikdorinn [45]

-5n+12n+9+(-3)

-5n+12n+9-3

7n+9-3

=7n+6

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

8 0
3 years ago
Which of the following demonstrates how the 20 is calculated using the<br> combination pattern?
ZanzabumX [31]

Answer:

D

Step-by-step explanation:

The diagram shows Pascal's triangle. Pascal's triangle is a triangular array of the binomial coefficients.

The entry in the n^{th} row (start counting rows from 0) and k^{th} column (start counting columns from 0) of Pascal's triangle is denoted by

C^n_k=\left(\begin{array}{c}n\\ k\end{array}\right)

Coefficient 20 stands in 6th row, then n = 6 and in 3rd column, so k = 3.

Hence,

20=C^6_3=\left(\begin{array}{c}6\\ 3\end{array}\right)=\dfrac{6!}{3!(6-3)!}

4 0
3 years ago
Los divisores de 100 son tambien divisores de 50 ?
sergiy2304 [10]

Answer:

La afirmación es falsa, no todos los divisores de 100 son divisores de 50, ya que solo se toman en cuenta sus divisores comunes, los cuales son todos los divisores de 50. Expresamos a 100 en sus factores primos: 100 = 2 · 2 · 5 · 5 = 2² · 5² Divisores de 100: {1, 2, 4, 5, 10, 20, 25, 50, 100}

Step-by-step explanation:

8 0
3 years ago
A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len
maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

P=2(x+y)

P=256\ yd

so

256=2(x+y) ------> equation A

we have that

x=2y-4 -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

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3y=128+4

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y=44

Find the value of x

x=2(44)-4=84

therefore

The length of the rectangular playing field is 84 yards and the width is 44 yards

4 0
3 years ago
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