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miss Akunina [59]
2 years ago
14

The graph shows a vertical translation of y=√x

Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

The range of the cubed root of x is all real numbers.

Graphically
The height of this function will start at - infinity and continue to infinity.
(look at the vertical growth of the graph. It will keep going down and will also keep growing forever)

Algebraically
Nothing will "break" this function as it is a cubed root. Thus the output (range) could be anything
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Point A (2, 6) has been translated 1 left and 3 up followed by a 180 degree rotation.
juin [17]

Answer:

A(-1,-8)

Step-by-step explanation:

Given

Point: A(2,6)

Translation: 1 left and 3 up

Rotation: 180 degrees

Required

Image of Point A

Taking the exercise one after the other

<em>Represent the function as: (x,y)</em>

Such that

A(x,y) = A(2,6)

1 unit left translation means the function becomes (x - 1, y)

2 unit up translation means the function becomes (x - 1, y + 2)

Applying the above transformation

A(2,6) -> A(2-1,6+2)

A(2,6) -> A(1,8)

At this stage, the coordinate becomes

A(1,8)

When a function (x,y) is rotated by 180, the new function becomes (-x,-y)

So;

The further transformation of A is

A(1,8) -> A(-1,-8)

Hence, the new image of A is

A(-1,-8)

8 0
3 years ago
If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?
Mashcka [7]

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

  • \sigma = \sqrt{\frac{SS}{n} }

where:

  • SS is the sum of squares = 200
  • n is the sample size = 51

Substitute the given parameters into the formula to have:

\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980

Hence the standard deviation is 1.98

Learn more on standard deviation here: brainly.com/question/12402189

7 0
2 years ago
What are the characteristics of the graph of the inequality x &lt; 4.5?
lyudmila [28]

Answer:

see explanation

Step-by-step explanation:

Given x < 5

The graph will have an open circle at 5 indicating that x is not equal to 5, which would be a closed circle.

The ray will move to the left since values less than 5 are to the left of 5

4 0
3 years ago
Read 2 more answers
A florist sold 12 flower bouqets yesterday, including 2 daisy bouquets. Based on past data, how many of the next 18 boquetes sol
My name is Ann [436]

Answer: 3

Step-by-step explanation:

A florist sold 12 flower bouqets yesterday, which included 2 daisy bouquets. This shows that the fraction of daisy bouquet is 2/12 = 1/6.

Therefore, if there are 18 boquetes sold, the number that's expected to be daisy bouquets will be:

= 1/6 × 18

= 3

4 0
3 years ago
Use words to compare the size of the product to the size of the first factor
ruslelena [56]
Is this vocabulary? If so, I'll try to answer. The product is always greater than the factors.
4 0
3 years ago
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