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Dovator [93]
3 years ago
6

A lot of points for who gets this right!

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

on the end of the graph (5,10)

Step-by-step explanation:

hope that

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Please help with the attached question. Thanks
Mademuasel [1]

Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

5 0
3 years ago
Read 2 more answers
What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20
kari74 [83]

Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = \dfrac{2000}{7}\times 365=104285

12 years = 104285\times 12=1251420\ minutes

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = \dfrac{3000}{7}\times 365=156428

16 years = 156428\times 16=2502857 minutes

So, the predicted difference in sleep between individuals A and B is given by

2502857-1251420\\\\=1251437\ minutes

Hence, the predicted difference in sleep is 1251437 minutes.

7 0
3 years ago
Consider this cube with a volume of 64 cubic centimeters.
Eduardwww [97]

Answer:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

We are told that:

A cube has volume 64 centimeters cubed.

The formula for the volume of a cube = s³

Where s = side length

Hence

64 cm³ = s³

We can find s by finding the cube root of both sides

Hence,

cube root(64) = cube root(s³)

s = 4 cm

Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³

Therefore, it can be concluded of the cube that:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

3 0
3 years ago
Identify the number that does not belong with the other three. Explain your reasoning. 26.6 repeating 6, square root 48, negativ
noname [10]
The square root of 48 is the only irrational number in that group.
5 0
3 years ago
Read 2 more answers
Explain how you can use your compass to construct one-fourth the length of a segment.​
kogti [31]

Answer:

You caluculate the value of the segment then multiply it by 1/4. After that you move the compass to match the radius of the segment

Step-by-step explanation:

Sorry if that didnt make sense

7 0
3 years ago
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