A comet travelling through space at a rate of 75 miles per hour has just flown into a huge amount of space dust. This dust decreases the speed of the comet by 15 miles every hour, until it completely stops moving. Which are the domain and range of the linear function that represents this relationship?

Answers

Answer 1

Answer:

Linear function: y = -15x + 75

Domain: x ≤ 5

Range: y ≥ 0

Please tell me if there are any mistakes in my answer and I will correct them.

Step-by-step explanation:

The linear function is y = -15x + 75, written in y=mx+b form. X is the amount of hours. Since the speed is decreasing, we will use -15. Since we started at 75 miles per hour, our b value will be 75.

Domain

The domain is all the possible values for x.

Since the comet slows down by 15 miles every hour until it stops moving, we can solve for x by putting in 0 for y.

0 = -15x + 75

15x = 75

x = 5

Therefore, the domain is x ≤ 5.

Range

The range is the set of all possible values of y. In this case, the range can be anything but 0 in order for the equation to make sense.

So, the range is y ≥ 0.

Answer 2

Answer:

domain is 0,5

Step-by-step explanation:

after 5 hours, it stops moving


Related Questions

3+(-7) +(-6) add the following integers

Answers

Answer:

-10

Step-by-step explanation:

expand: 3-7-6=-10

note smaller positive number minus bigger number makes negative answer, e.g 7-8= -1

The answer is:

-10

Work/explanation:

Use the integer rule:

[tex]\rhd\quad\sf{a+(-b)=a-b}[/tex]

___

[tex]\rhd\quad{\sf{3+(-7)=3-7=-4}[/tex]

[tex]\rhd\quad\sf{-4+(-6)=-4-6=-10}[/tex]

Hence, the answer is -10.

HELP!!!!! The population of HomeTown in 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%. In what year would the population grow to 43,328. Give your answer as a year, as in 2022.

Answers

2025 i think bc the equation is an exponential growth so it would be A=P(1+R)^t

Answer:

2055

Step-by-step explanation:

| -16+51 | absolute value

Answers

Answer: 35.

Step-by-step explanation:

The absolute value of a number is the non-negative value of the number without regard to its sign. It may be thought of as the distance of the number from zero on a number line. It is symbolized by two vertical lines, as |3| or |−3| is equal to 3. For complex numbers, the absolute value is the positive square root of the sum of the squares of the real and imaginary parts. The absolute value is used to determine the numeric value of a quantity, irrespective of sign, that has no meaning for the sign.

To find the absolute value of -16+51, you need to simplify the expression first and then apply the definition of absolute value. -16+51 = 35, so | -16+51 | = | 35 |. Since 35 is a positive number, its absolute value is itself. Therefore, | -16+51 | = 35.

Shelly is asked to put parentheses in the equation
14−8−5+6×2=23 so that it is true.

Choose the correct expression.

A. 14−8−(5+6)×2=23
B. 14−(8−5)+6×2=23
C. 14−8)−(5+6)×2=23
D. 14−(8−5+6)×2=23

Answers

Answer:

C)(14-8)-(5+6)×2=23

using bodmas

The answer is most likely c

Help me this one plssssssssssss

Answers

I would say it’s 58, because ab is 180, so you count acf = 32 and you know that dcf is right angle so it’ 90, so you count 90-32=58
It is 58 because
180-77-71= 32
And 32 + unknown angle= 90
So 90 - 32 = 58

help me this one plssssssssssss

Answers

Answer:

The integer that describes the translation from B to B' is (-2,1)

The answer to this would be (-2,1)

This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31

Answers

The answer would be
C. 29
We know this by counting the amount of numbers given for the data set
I don’t know to be real

Matrix in 2-dimension

Answers

Answer:

the two dimensions are represented by rows and columns.

Step-by-step explanation:

represented by rows and coloms

(-12) FROM I5=
INTEGERS

Answers

Answer:3
Explanation: For this question the answer sign will be positive so -12+15=15-12 which can be broken into 10-10=0 and 5-2=3 so the answer is 3

That’s 15-(-12)=15+12 because - and- equals + so that’s 27

Type a digit that makes this statement true.
153,80(number here) is divisible by 5.

Answers

Answer:

5Hope it helps!

Step-by-step explanation:

153805 is divisible by 5

The answer would be 5!
I hope this help!

Which is the output for the following linear function when the input is
-7?
y-x=2y+1
Options:
6
12
-13
8

Answers

Answer:

A) 6

Step-by-step explanation:

[tex]y-x=2y+1\\y-(-7)=2y+1\\y+7=2y+1\\7=y+1\\6=y[/tex]

The output is y=6 when the input is x=-7

y-(-7)=2y+1
y+7-1=2y
6=2y-y
y=6

The simplified form of [tex]\frac{\sqrt[3]{81} }{\sqrt[3]{-3} }[/tex]

Answers

Answer:

-3

Step-by-step explanation:

[tex]\frac{\sqrt[3]{81} }{\sqrt[3]{-3}}\\[/tex]

the index of both the numerator and denominator are "3", so they cancel each other out:

[tex]\frac{\sqrt{81} }{\sqrt{-3}} \\=\frac{9}{-3}\\ =-3[/tex]

Hope this helps! :)

Answer:

-3

Step-by-step explanation:

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