A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given:

f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7

Combination of domain for the function is the following union:

(-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

Group of answer choices:

The domain is the depth interval (−26, 1).

incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

This is correct as it is same with the domain set we got above.


Related Questions

How do u write 200+9+07+0.01 In written form

Answers

Answer:

297.01 In

Step-by-step explanation:

6x-2=7x+9 find x plz help

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]6x-2=7x+9[/tex]

Add 2 to both sides:

[tex]6x-2+2=7x+9+2[/tex]

[tex]6x=7x+11[/tex]

Subtract 7x from both sides:

[tex]6x-7x=7x+11-7x[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

X= -11

Step-by-step explanation:

Simplifying

6x + -2 = 7x + 9

Reorder the terms:

-2 + 6x = 7x + 9

Reorder the terms:

-2 + 6x = 9 + 7x

Solving

-2 + 6x = 9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-2 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-2 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0

-2 + -1x = 9 + 0

-2 + -1x = 9

Add '2' to each side of the equation.

-2 + 2 + -1x = 9 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 9 + 2

-1x = 9 + 2

Combine like terms: 9 + 2 = 11

-1x = 11

Divide each side by '-1'.

x = -11

Simplifying

x = -11

What is the solution to the equation 4x = 52?

Answers

Answer:

x = 13

Step-by-step explanation:

4x = 52

x = 52/4

x = 13

Hope this helps!

The answer is the the question X=13

Is Nora or Sofia correct? Explain your reasoning.

Answers

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  [tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

If someone is good in theoram please help me I need help with task 3,4,5

Answers

Answer:

C²= A²+B²

Step-by-step explanation:

A) 10²=( Base)² + 6²

(Base )²= 10² - 6²:

100-36

= 64

Base = √ 64

8

B) 17² = 8² + (Height)²

(Height) ² = 17²- 8²

= 289-64

= 225

Height = √225

= 15

C) 2.5² = Base ² + 1.5 ²

Base² = 2.5 ²- 1.5²

6.25- 2.25

= 4

Base = √4

= 2

D) 41² = Base²+ 40²

Base²= 41²- 40²

1681-1600

= 81

Base = √81

=9

E)26²=Base² +10²

Base² = 26²- 10²

676-100

= 576

Base= √576

= 24

F)25²= Base²+ 7²

Base² = 25²- 7²

625- 49

=576

Base= √576

= 24

I need help with this geometry question​

Answers

Answer:

Angle [tex]AEC=80[/tex]°

Step-by-step explanation:

Please help, I don't understand, please
5+(-5)

Answers

Answer: 0

Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5

Answer: 0

Step-by-step explanation:

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer: 150 pages

Step-by-step explanation:

I usually just multiply the number by the percentage and it works out just fine :)

Help ASAP plssssssssssssssssss

Answers

Answer:

18

Step-by-step explanation:

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)

Answers

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

Which problem can be solved with the equation 1.75+(-1.75)=0?

Answers

Answer:

bank account one is the answer

Step-by-step explanation:

bank account one is the answer

Hope it helps

Pls mark as brainliest

Problem number 4 is solved by the equation 1.75 + (-1.75).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.

The account balance will be represented by the equation.

Account = 1.75 + (-1.75)

The actual account balance will become zero.

To know more about an expression follow

https://brainly.com/question/25968875

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what is the reciprocal of 2 8/9

Answers

9/26

2 8/9 = 26/9

Reciprocal of 16/9 is 9/26

a regular polygon has 20 sides the measure of an exterior angle of polygon is​

Answers

Answer:

198 degrees

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks

Answer:

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks and Godbless

which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help

Answers

Answer:

12.

Step-by-step explanation:

Because 12 is the only number that comes in 2,3 as well as 4s table.

solve for x, UV and TV​

Answers

We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

Answer:

.

Step-by-step explanation:

Solve the equation: 2^2 − 9 + 10 = 0 Step by step

Answers

Step-by-step explanation:

2^2 − 9 + 10 = 0

4-9+10=0

4+1=0

5=0

False

(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6

Answers

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

what is the square root of 2/8 as a decimal

Answers

The square root is 0.5

Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(C\ and\ D) = 153\%[/tex]

Step-by-step explanation:

Given

[tex]P(C) = 98\%[/tex]

[tex]P(D) = 88\%[/tex]

[tex]P(C\ or\ D) = 33\%.[/tex]

Required

[tex]P(C\ and\ D)[/tex]

In probability, the relationship between the given parameters and the required parameter is:

[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]

Substitute values in the above formula

[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]

[tex]P(C\ and\ D) = 153\%[/tex]

No, it can't be a probability

Because [tex]P(C\ and\ D) > 100\%[/tex]



You are given the list of numbers, -9, 8, 3.0,

2

5'

2.42, 1. Which numbers are rational? Irrational?

Answers

all of the numbers happen to be rational I THINK

Calculate the average speed between 160 s to 200 s

Answers

[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.

Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0

Answers

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

4z - 7y + 2 + 2y + 8y + 6z - 15

Answers

Answer: 3y + 10z - 13

Step-by-step explanation:

You combine like terms 4z and 6z which is 10z, then you combine 8y-7y+2y which is 3y, lastly you do 2-15 which is -13. So the simplified equation is 10z + 3y - 13!

You pick a card at random 6,7,8,9. What is P (8)?

Answers

Answer:

1/4

Step-by-step explanation:

Which operation should you perform last in the expression 12 × 4^2?

Answers

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

On Monday a team of street sweepers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/6 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?

Answers

1/5 is the answer :0000

There will be twelve and a half city blocks of the street sweepers clean on Tuesday.

What is a fraction?

The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.

It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.

Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,

x = 4 +  2 1/6 × 4

x=4+13/6×4

x=12.6≈ 12 1/2

Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.

Learn more about the fraction here:

brainly.com/question/1301963

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36599 round to the nearest thousand 100,699 round to the nearest thousand

Answers

Answer:

36,599 rounded to the nearest thousand is 37,000

100,699 rounded to the nearest thousand is 101,000

hope this helps! best of luck <3

Answer:

37000

101000

Step-by-step explanation:

If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?

Answers

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

Which expression is equivalent to 7-3x+2


A. 7-x
B.7-2x
C.9-x
D.9-3x

Answers

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

Please mark me as BRAINLIST

Find the distance between the points E(3,7)and(6,5).find the exact distance between the two points ?

Answers

Step-by-step explanation:

Let the distance points E(3,7) and F(6,5)

Distance between EF = √[(x2-x1)²+(y2-y1)²]→Formula

Here, x1 = 3, y1 = 7

x2 = 6 , y2 = 5

Now,

Put all the values in distance formulae:

AB = √[(6-3)²+(5-7)²]

= √[(4)²+(2)²]

= √[(4*4)+(2*2)]

= √[16+4]

= √[20] = 2√5 Units.

Answer:- Hence, the distance between two points E(3,7) and F(6,5) is 2√5 Units.

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