what is the domain of the function s=-4r^2 if the range is s <_ 0

What Is The Domain Of The Function S=-4r^2 If The Range Is S &lt;_ 0

Answers

Answer 1

Answer:

r≤0

Step-by-step explanation:

if the range is s≤0, (that means the value of s is all negative integers &0) to find the domain we have to replace that some negative integers &0.

we can replace some values of s as the following

s=‒4(0)^2 s=‒4(‒1)^2

=‒4(0) =‒4(1)

=0 =‒4

s=‒4(‒2)^2 s=‒4(‒3)^2

=‒4(4) =‒4(9)

=‒16 =‒36

so we can understand easly that the domain is negative integer&0,it can't be positive because the square of any integer is positive.

therefore the answer is r≤0

i think &i hope it is clear.

Answer 2

The domain is the set of values for which the given function is defined. The domain of the function s=-4r² if the range is s≤0 is r∈R. The correct option is B.

What are the domain and range of a function?The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.

For the given function s=-4r², the domain of the function when s≤0 will be all the real numbers. This is because, for any value of r whether it is positive or negative, the value of r² will be positive, but at the same time this quantity is needed to be multiplied by -4.

Thus, the result of -4r² will be always negative, which is less than zero.

Hence, the domain of the function s=-4r² if the range is s ≤0 is r∈R.

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Related Questions

Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?

Answers

Answer:

the retirement fund would last 12 years

Step-by-step explanation:

first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.

65 - 25 = 40 years

next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).

12 × 750 = 9,000 dollars per year

then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.

9,000 × 40 = 360,000 dollars in 40 years

-

after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.

$360,000 ÷ $2,500 = 144 months

to find how many years the money would last, one would divide it by 12, which is the amount of months per year.

144 ÷ 12 = 12

It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.

Step-by-step explanation:

You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!

This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!

A container has 400 liters of water, and a second container has 800 liters of water. The first container begins filling up at a rate of 4 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. How many minutes will pass until the containers have the same amount of water?​

Answers

Answer:

1000

Step-by-step explanation:

Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this

Answers

Answer:

4.5

Step-by-step explanation:

250 mL= 0.25 L  500 mL= 0.5 L  750mL= 0.75 L+3L

The area of a square garden is 81 ft^2 so what is the length of each side

Answers

Answer: 9ft

Step-by-step explanation: 9•9 is 81

PLEASE HELP I NEED TO PASS!

Which table has a constant of proportionality between y and x of 2?

A
B
C
HELP!

Answers

Answer:

Its B

Step-by-step explanation:

Multiply x by 2 to get your answer

Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:​

Answers

Answer:

Hypothesis: It is January

Conclusion:  There is snow

Step-by-step explanation:

COnditionals are in the form If p, then q.

P is the hypothesis.

Q is the conditional.

If (It is January), then (there is snow).

If and then are not included in the hypothesis and conclusion, respectively.

Hypothesis: It is January

Conclusion: There is snow

What is Hypothesis and Conclusion ?

The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

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Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.

Answers

Answer:

$80 - $20 = $60 left.

Step-by-step explanation:

−11−3n=−3(n + 6) please tell me the answer ahhhhh

Answers

Answer:

No solution.

Step-by-step explanation:

Distribute -3 to (n+6)
Then combine like terms, -11-3n= -3n-18
Add 3n on both sides, -11=-18
The statement can’t be solved.

2. 1. Are the following lines parallel? Explain using slopes. ty (0, 3) (-6, 1) 1 (4, 1) 2 4 6 0 2 62 (0, -2)​

Answers

Answer:

confused

Step-by-step explanation:

The cafeteria has 28 bottles of orange juice and 14 bottles of apple juice. An equal number of orange and apple juice are displayed in each row. What is the greatest number of orange juice bottles can be in each row?
Shayla says each row will have 28 orange juice bottles but Marcos says there will be 14 bottles in each row. Who is correct: Shayla or Marcos?

Answers

Answer:

The greatest number of orange juice bottles that can be displayed with the apple juice is 14. But if you want it in rows, its 2 or 8.

Step-by-step explanation:

Answer:

Marcus is right: 14 orange juice

Maria spent $22.68 on 7.2 gallons of gas. Her friend, April, spent $31.16 on 9.5 gallons of gas at a different gas station. Who paid less per gallon for gas, Maria or April? Justify. Pls help me!!!:(((

Answers

Answer:

Maria paid less. She paid $.13 less than Apri.

Step-by-step explanation:

Maria-divide $22.68 by 7.2= $3.15 per gallon of gas

April-divide $31.16 by 9.5=$3.28 per gallon of gas

Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=

AB =

Answers

angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?

6.25 x 10^-2 in standard notation​

Answers

Answer:

0.0625x

Step-by-step explanation:

Verify the identity.

cot(x - pi/2) = -tan x

Answers

Use property...

cot(a+b)=cot a cot b - tan a tan b

a=x b=pi/2

Left side --> cot x+pi/2)=cot x cot (pi/2)  - tan x tan (pi/2)

= cot x * 0 - tan x  * 1

=0 - tan x

=- tan x

= Right side  

Math question plz help

Answers

Answer:

Yes they are.

Because:

As said in the rules you have to keep the bases and add the exponents.

In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.

Answers

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

Divide. 451.85 : 100
how do i do this???

Answers

Answer:

4.5185

hope this helps.

If cheese costs $4.50 per pound, what will be the total cost of 3.5 pounds of cheese?

Answers

Answer: 15.75

To find the answer to the question, we have to multiply.

4.50 x 3.5 = 15.75

So, the answer to the question is 15.75.

Hope this helps!

Find the LCM (least common multiple) of 13 and 52.

LCM =

Answers

52,  because 52 is a multiple of 13 (13*4 = 52)

Answer:

The answer is 52

(4x^4y)^2
i need help

Answers

Answer:

16x⁸y²

Step-by-step explanation:

Answer:

16x^8y^2

Step-by-step explanation:

what you do is simplify the expression

b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8

Answers

Answer:

0

0.054

0.405

0.45

0.54

8

Step-by-step explanation:

help me please i need this answer now please help!!!!

Answers

Answer:

Yes they are similar because both are parts of a triangle with a right angle and contain a shared point

Step-by-step explanation:

...

Given f(x) = 9x - 12. what is the value of f(5)?​

Answers

Answer:

33

Step-by-step explanation:

Answer:

f(5) = 33

Step-by-step explanation:

Just plug 5 into x

f(x) = 9x - 12

f(5) = 9(5) - 12 = 45 - 12 = 33

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Answers

Answer:

wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s

Step-by-step explanation:


What is the degree of the expression below?
x2-3x +7

Answers

Answer:

1

Step-by-step explanation:

Please help. Thank you

Answers

Answer:

$105

Step-by-step explanation:

Answer: yup $105......

2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.

Answers

Answer:

plz leave answer choices plz and thank you i tried but im very sorry i wrong question

Step-by-step explanation:

Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

You have at most $24 to spend at a store. Shirts cost $9.50 each, and pants cost $16 each. Let s be numbers of shirts and p be numbers of pants. Write an inequality that represents the numbers of shirts and pants you can afford.

Answers

Answer:

[tex]9.5s \: + \: 16p \: = 24.[/tex]

Step-by-step explanation:

[tex]if \: the \: numbers \: of \: shirts \: is \: s.\\ if \: the \: numbers \: of pants \: is \: p. \\then \: the \: inequality \: that \: represents \: \\ the \: numbers \: of \: shirts \: and \: pants \: you \: can \: afford \: is : \\ 9.5s \: + \: 16p \: = 24.[/tex]

Answer:

9.5s + 16p = 24

Step-by-step explanation:

k12

I NEED HELP ASAP PLEASE!!!!

Answers

I believe the answer is 530

umm i think the answer is 530

Find the slope of the line that passes though (9,8) and (7,5)

Answers

Answer:

I think its m=3/2

Step-by-step explanation:

If it right can I please have brainliest :)

Answer:

here is how to figure this out

Step-by-step explanation:

point 1 = (9,8)  =  (x1,y1)

point 2 =(7,5)  = (x2,y2)

slope= y2-y1 / x2-x1

slope = 5-8 / 7-9

slope = -3 / -2

slope = 3/2  :)

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