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2 years ago

What is the absolute value transformation of this function?

Mathematics

1 answer:

xxMikexx [17]2 years ago

6 0

Answer:

k(x) = -|x + 2| + 3

Step-by-step explanation:

Parent function of the absolute function given in the graph,

f(x) = |x|

1). Function 'g' is reflected across the x-axis, then the image will be,

h(x) = -f(x) = -|x|

2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,

k(x) = h(x + 2) + 3

k(x) = -|x + 2| + 3

Therefore, the transformed function is k(x) = -|x + 2| + 3.

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The diameter of a cone is 1.5 meters, the height is 1.5 times the radius, what is the volume?

seropon [69]

Answer:

.66 cu. meters

Step-by-step explanation:

volume for cone is V=1/3 x TT x r^2 x height

TT (pi) is 3.14

radius is 1/2 of diameter (1/2 x 1.5 = .75 )

height is 1.5 x radius (1.5 x .75 = 1.125)

V= 1/3 x 3.14 x .75^2 x 1.125

V= .66 cu. meters

6 0

2 years ago

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types a

Snezhnost [94]

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

$\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}$

Using this formula, we get

$\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50$

$\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50$

$\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55$

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

6 0

3 years ago

A group of friends recorded how fast tthey could run a 100 meters

Maru [420]

Answer:

58.4

Step-by-step explanation:

Runner 1 ran 14.85 and Runner 2 ran 14.05 from there you need to add the two together and you get 28.90. From there you can add Runner 3 and Runner 4 time together and you get 29.50.

After that you add them together and you get 58.4

I hope this helps! Let me know if you need more help on this question.

8 0

3 years ago

Read 2 more answers

Question

Oksi-84 [34.3K]

Answer: 100 x 2^ t/9

Step-by-step explanation:

6 0

3 years ago

What is the midpoint of (2, -3) and (4, 1)

daser333 [38]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, -3) and (4, 1)

The midpoint is

$M = ( \frac{2 + 4}{2} \: , \: \frac{ - 3 + 1}{2} ) \\ = ( \frac{6}{2} \: , \: - \frac{2}{2} )$

We have the final answer as

Hope this helps you

8 0

3 years ago