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Luda [366]
2 years ago
8

Which of the following increases at the fastest rate for larger values of x?

Mathematics
2 answers:
kondor19780726 [428]2 years ago
7 0

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

charle [14.2K]2 years ago
5 0

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Step-by-step explanation:

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You have to answer 3 essay questions for an exam. There are 6 essays to choose from. How many different groups of 3 essays could
Paladinen [302]

Answer:

The answer is 120

Step-by-step explanation:

3 places. 6 options in the first place, 5 options in the second place, and then 4 in the last place. Because one option is used every time you pick one.

6x5x4=120

3 0
3 years ago
What does it mean to determine the two positive integers that each value is between??? I'm confused ​
KIM [24]

Answer:

  11. {7, 8}

  12. {8, 9}

  13. {8, 9}

  14. {4, 5}

Step-by-step explanation:

You want consecutive integers that bracket each of the given irrational roots.

<h3>Square roots</h3>

A square root of an integer will be rational only if the integer is a perfect square. The first few perfect squares are ...

  • 1² = 1
  • 2² = 4
  • 3² = 9
  • 4² = 16
  • 5² = 25
  • 6² = 36
  • 7² = 49
  • 8² = 64
  • 9² = 81

You know these because you know your multiplication tables.

The square root of a number between these perfect squares will lie between the roots of the squares.

<h3>11. √50</h3>

50 lies between the squares 49 = 7² and 64 = 8². That means √50 lies between 7 and 8.

Your calculator tells you that √50 ≈ 7.0710678, which is a number that lies between the integers 7 and 8.

<h3>12. √72</h3>

72 lies between the squares 64 = 8² and 81 = 9². That means √72 lies between 8 and 9.

<h3>13. √65</h3>

65 lies between the squares 64 = 8² and 91 = 9². That means √65 lies between 8 and 9.

<h3>14. √23</h3>

23 lies between the squares 16 = 4² and 25 = 5². That means √23 lies between 4 and 5.

__

<em>Additional comment</em>

The purpose of questions like this appears to be to have you make use of your knowledge of integer perfect squares to guess an approximation of a square root.

A calculator can answer these questions immediately. Of course the two consecutive integers are the integer part of the root, and the next higher integer.

The question is not well-posed. The answer to "integers each value is between" could be 1 < √50 < 50. For integers greater than 1, the square root is always smaller than the integer being rooted. We've seen questions like this enough times that we can guess the intention is for you to identify <em>consecutive</em> integers.

<em>Extra credit</em>

Knowing the integer part of the root and the difference between the number and its next lower perfect square, you can approximate the root as follows:

For integer n = a² +b, the root √n lies between a +b/(2a+1) and a +b/(2a).

For example, 65 = 8²+1, so √65 lies between 8 1/17 and 8 1/16.

7 0
1 year ago
Pls help me pls I’ll give brainliest for right answer!
Serga [27]

Answer: 122 ft and 12.77 m

Step-by-step explanation:

First question answer = 100/cos35 = 122.07 = 122 ft

Second question answer = 12/sin70 = 12.77 m

5 0
2 years ago
What is the name of the place value of 9 in 199
Sliva [168]

The name of place value of 9 in 199 is ones.

The second 9 has a value of tens.

The number 1 has a place value of hundreds.

8 0
3 years ago
Read 2 more answers
Which function is increasing?
DerKrebs [107]

Answer:

A, it's the only one with a number greater then 1

5 0
3 years ago
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