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What is the turning point of the graph of f(x) = |x – 4| ?

Answers

Answer 1
Answer: f(x)=|x-4|\nf'(x)=\text{sgn} (x-4)\n\text{sgn} (x-4)=0\nx-4=0\nx=4\n\n

For x<4f'(x)<0.
For x>4f'(x)>0.
\Downarrow\n
At x=4 there's turning point, which is equal |4-4|=|0|=0.


Related Questions

Which equation is correct
Complete the following question:Order these numbers in ascending order. -5.97, 600, 205, 456.98, -45.9
Which represents the inverse of the function f(x) = 4x?
I need help on this plz and thank you?!?
A Nashville-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 45% are sung by a female singer, 45% are sung by a male singer, and 10% are instrumental with no vocals. What is the probability that a particular set of 3 songs contains exactly 2 female singers and 1 male singer? (Hint: Be aware that there are multiple ways to achieve this pattern of songs.)

The histogram shows the duration, in minutes, of movies in theaters. What relationship between the median and mean is shown by the histogram?

The mean is less than the median.
The median is less than the mean.
The mean is equal to the median.
The median and mean cannot be compared from a histogram.

Answers

The correct answer is:

The median is less than the mean.

Explanation:

This histogram is skewed right; the data "peaks" further to the left than the center.

If a histogram is skewed right, the mean is greater than the median.

This is because skewed-right data have a few large values that increase the mean but do not affect where the exact middle of the data is.

Answer:

Option B) The median is less than the mean.

Step-by-step explanation:

We are given the following in the question:

A histogram showing the duration, in minutes, of movies in theaters.

  • If we observe the shape of the histogram, more values of the histogram lies on the right side, the tail of the distribution is longer on the right hand side than on the left hand side
  • Hence, the histogram is skewed right.
  • The histogram is not normal and shows skewness.
  • It is a right skewed histogram or positively skewed.
  • Now, for a positively skewed data the mean is greater than the median since more values lies on right side and have a greater value thus the mean increases.
  • \text{Mean} > \text{Median}
  • The relationship shown by the histogram between mean and median is that median is less than the mean

If the 1600m race is 4 laps, what is the path length raced?

Answers

it is 400 because you have to divide

Help on these plzzzzz it is really hard

Answers

11.

Lateral area of a cube is 4*[(2.5)^2] = 4*6.25 = 25 cm^2;                    B

Whats 58788188 to the nearest million

Answers

Answer:

588,000,000.

Step-by-step explanation:

Inserting commas  every 3 digits from the right, we have:

587,881,188  so that is 587 million and 881,000.

As 8 is the next digit after the 587 we add 1 to 587 to make 588 million.

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: 
m is undefined for all m∈R~
4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i

The diameter of a round dinner plate is 10 inches. What is the area of the plate? A. 314 square inches
B. 39.25 square inches
C. 39.25 inches
D. 78.5 square inches

Answers

The area of table is 78.5 square inches.

What is area?

A figure's area is the amount of space it takes up in two dimensions. To put it another way, it is the number that tells how many unit squares cover the surface of a closed figure. Square units, such as square inches, square feet, and so on, are the standard measurement for area.

Given the diameter of dinner plate = 10 inches

shape of plate is circular

area of circle is πr²

where r is radius

r = d/2 = 10/2 = 5 inches

A = πr²

A = 3.14(5)²

A = 3.14 x 25

A = 78.5 square inches

Hence area is 78.5 square inches.

Learn more about area;

brainly.com/question/27683633

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A=πrˆ2
Since the diameter is 10 inches, the radius must be half of that: 10/2=5.
A=π(5)ˆ2
A=25π
A=25π or 78.54 inches