For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
Answers
Answer:
pretty sure it's B
Step-by-step explanation:
domain is x numbers and that has all the x numbers in it
The value of domain in the given function is ( -4, 0 , 1, 2).
The value of range in the given function is ( 1, -3, -4 ).
Given,The function {(0,1), (1,-3), (2,-4), (-4,1)}
We have to find ,
Domain and range of the given function .
The domain of a function is the complete set of possible values of the independent variable.
So, The value of domain in the given function is ,
Domain = ( -4, 0, 1, 2 )
And, The range of a function is the complete set of all possible resulting values of they, dependent variable (usually), after we have substituted the domain.
So, The value of range in the given function is
Range = ( 1, -3, -4 )
For the more information about the Range and Domain click the link given below.
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Related Questions
Please help ASAP!!!
Chuck Stone is standing atop a high platform. He fires a rock up into the air with his slingshot. While it is in flight, the rock's distance in feet above the ground f(x) is a quadratic equation of time in seconds (x). This situation is modeled by the following function: f(x) = -5x^2 + 40x + 30.
a. How high above the ground is the platform?
30
b. How long does it take for the rock to hit the ground? Show all work to receive full credit!
is 30 correct for a? and please help me with b! Thank you!!!
Answers
Answer:
a) the platform is 110 feet above the ground.
b) It takes 8.69 sec for the rock to hit the ground
Step-by-step explanation:
This situation is modelled by the following function: [tex]f(x) = -5x^2 + 40x + 30\\[/tex]
We need to answer the following questions.
a) How high above the ground is the platform?
First we find x using the formula: [tex]x=-\frac{b}{2a}[/tex]
we have b = 40 and a = -5
Putting values and finding x
[tex]x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4[/tex]
Now putting x=4 in the function to find how high above the ground is the platform
[tex]f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110[/tex]
So, the platform is 110 feet above the ground.
b) How long does it take for the rock to hit the ground? Show all work to receive full credit!
We will factorise the given function [tex]f(x) = -5x^2 + 40x + 30[/tex] to find the time taken to hit the ground.
We can solve the equation using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a =-5, b=40, c=30
Putting values and finding x
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69[/tex]
So, we get values of x: x = -0.69 and x=8.69
As time cannot be negative, so we take x=8.69
So, It takes 8.69 sec for the rock to hit the ground
8. Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.
B.What was the percent markdown, rounded to the nearest whole percent
Answers
Cost of two tickets that Sheila paid to her friend = $ 90
Actual price of 1 ticket = $ 52.50
So, actual price of 2 tickets = 52 x 2 = 105
Hence, markdown or discount Sheila's friend gave her is =
105 - 90 = 15
The answer is $15.
Answer:
15
Step-by-step explanation:
105 - 90 = 15
Erica says that she can run 16 miles in two hours, but her father wants to know how many feet she ran. How can Erica convert the 16 miles into feet? In complete sentences explain how she can convert miles into feet and compute the number of feet she can run in two hours.
Answers
16 x 5,280= 84,480
She can convert miles into feet by multiplying 16 by 5,280. She ran 84,480 feet.
A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.
number of bagels price in dollars
row 1 12 5
row 2
row 3
row 4
At this rate, how much would 6 bagels cost?
How many bagels can you buy for $50?
Answers
Answer:
1. 2.50$
2. 120
Step-by-step explanation:
..................
5
start fraction, 5, divided by, 4, end fraction hour ==equals
minutes
Answers
When given the value of 5/4 hours then in minutes this is equal to 75 minutes.
How to convert hours to minutes?In every hour, there are 60 minutes. If you want to covert hours to minutes therefore, you multiply the number of hours by 60 minutes.
When given the number of hours as 5/4 hours, in minutes this becomes:
= Number of hours x 60 minutes per hour
= 5/4 x 60 minutes per hour
= 300 / 4 minutes
= 75 minutes
In conclusion, the number of minutes in 5/4 hours is equal to 75 minutes.
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The Ruiz family is saving to buy a new house. They have $5,000 to start a new savings account that has an interest
rate of 3.4%, compounded continuously. The family must move into the new house in 18 months. How much money
will be in the savings account after 18 months?
P=Ie^rt
a.$2711
C. $5316
b. $5262
d. $9221
Answers
This answer is (B) $5262.
Answer:
b on edge 2021
Step-by-step explanation:
took the test :)
HELPPPPPP SOLVE FOR X
Answers
Answer:
x = 6
Step-by-step explanation:
These are supplementary angles.
This means that the angles add up to 180 degrees.
The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.
6y = 90
y = 15
Now that we have found y we can solve for x.
Plug in the y to the 5x + 4y
5x + 4(15)
5x + 60
We can set this equal to 90 again
5x + 60 = 90
5x = 30
x = 6
Therefore x is equal to 6.
I hope this helps!!
- Kay :)
Answer:
x= 6
Step-by-step explanation:
Straight line: is equaled to 180 degrees.
6y= 90 (90 divided by 6= 15), so y= 15
5x + 4y= 90 --> 5x + 4(15)= 90 --> 5x + 60= 90 --> 90 - 60= 30 --> 5x= 30 (30 divided by 5= 6), so x= 6
cassie measured the middle school and made a scale drawing. the scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet. how wide is the gym in the drawing?
Answers
The wide is the gym in the drawing is 5
In the given statement is
Cassie measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet.
To find how wide is the gym in the drawing
Now, According to the question
and, Based on the given conditions
=45 x1/9
=45/9
=5
Thus, The wide is the gym in the drawing is 5
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A sweater is $35. It is discounted by 28%. What is the discounted price?
Answers
Answer:
Discount price is $25.2
Step-by-step explanation:
The first term of an arithmetic sequence is 24 and the 19 term is-48. What is the
common difference?
Answers
Answer:
common difference d = - 4
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₁ = 24 and a₁₉ = - 48 , then
24 + 18d = - 48 ( subtract 24 from both sides )
18d = - 72 ( divide both sides by 18 )
d = - 4
I need help! I don’t understand!
Answers
Answer:
33
Step-by-step explanation:
just coint how much is on each side then multiply it by 3
Plz help me if ur still awake!!!!
Answers
Answer: I would post the answers in comment am unable to add the answer.
Step-by-step explanation:
1.F is the midpoint of AC, angle AFE = angle CFD and DF = EF (Given)
2.angle AFD = angle CFE ( A midpoint divides a segment into two congruent segments.)
3.angle DFE = angle DFE (Reflexive property)
4.angle A = angle C (Congruent angles subtracted from congruent angles form congruent angles )
One tablet costs $249.00 and a company needs to buy k tablets. What is the relationship between the total cost, C, and the number of tablets? Determine the domain.
A. k=249C; The domain is C, the total cost of the tablets purchased.
B. k=249C; The domain is K, the number of tablets purchased.
C. C=249k; The domain is C, the total cost of tablets purchased.
D. C=249k; The domain is K, the number of tablets purchased.
Answers
Answer:
b
Step-by-step explanation:
Brainliest to whoever answers this correctly!
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
Answer:
B. The rate of change of the cost of the taxi ride is $3.00 per minute.
Step-by-step explanation:
The slope is 3 so it is $3 per minute (x) and $2 is the flag down cost.
On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .
Answers
Answer:
5 hours
Step-by-step explanation:
To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:
180/60 = 3
So, Alexa babysat for 3 hours on Saturday.
Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!
I hope this helps!!
- Kay :)
Which graph represents a bike traveling at a constant rate of
12 miles per hour?
Answers
Answer:
what graph?...........
Please answer this geometry question.
Answers
What's the answer to this?
Answers
A 5 piece pack of gum costs $0.85 An 8 piece of gum cost $1.20 how much cheaper per piece is the 8 piece pack
Answers
Answer:
It's $0.02 cheaper per piece in the 8 piece pack.
what is the lowest term of 49kg and 56kg
Answers
49/7 = 7
56/7 = 8
You could divide 7 by 7 but you can’t divide 8 by 7 and therefore that is the lowest you can go.
So the answer is: 49/56 = (7 /8)
What is the solution to the equation 9x - 1
= 80.
X = -9
X = 1
x = 81
x=9
Answers
Answer:
x = 9
Step-by-step explanation
9x - 1 = 80
add 1 to both sides and you get
9x = 81
divide each side by 9 and you get
x = 9
The solution of equation 9x - 1 = 80 by combining like terms with the use of operations addition, division, etc is x = 9. Hence option 4 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
9x - 1 = 80
Now simplify the expression by combining like terms with the use of operations addition, division, etc.
The expression is,
9x - 1 = 80
Add 1 on both sides,
9x - 1 + 1 = 80 + 1
9x = 81
Divide both sides by 9,
x = 81/9
x = 9
So, x = 9 is the solution of expression.
Thus option 4 is true.
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Giving brainliest & a thanks if you answer all of them
At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend? ( IGNORE THIS QUESTION PLEASE)
To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?
If Mia buys that many packages of each item, what is her total cost? Show your work.
Answers
Answer:
2) Mia needs to buy 3 packages of noisemakers
3)Mia needs to buy 4 packages of hats
4)Mia will dpend a total of $66
PLEASE HELP QUICK....... find X
Answers
Answer:
X=18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
we know that 6x+10 is equal with the angle above the one that is measured (5x-28)
we have 6x+10+5x-28=180 (a straight line)
11x=180+28-10
11 x=198
x=18
−3x−6+(−1)
What is the answers and to do it step by step
Answers
Answer: -3x-7
Step-by-step explanation:
First, remove the parentheses,
-3x-6-1Then. simplify
-6-1=-7, so; -3x-7-3x - 6 - 1
-3x + (-6-1)
-3x - 7
Which expression is not equivalent to 216 if the numbers look like they are apart is because they are supposed to be on the top of the number for example 6 2 the 2 should be on top of 6 on the side
A. 6 3
B. 6・6・6
C. 8・6 2
D. 3 3 ・8
Answers
Answer:
d
Step-by-step explanation:
hope this helps
given the following equation:
f(x)=(-7)x + -3
Find the following information: f(4) + f(4)
Answers
Answer:
-62
Step-by-step explanation:
In this question, we are going to solve the given expression.
We know that our f(x) equation is (-7)x - 3
Since we have to find what f(4) is, we would plug in 4 to x and solve.
Solve:
f(4) = -7(4) - 3
= -28 - 3
= -31
We are not done, we have to plug in our answer to the expression f(4 + f(4), since we now know what the value of f(4) is.
-31 - 31
-62
Your answer would be -62.
Mikes cookie recipe needs 3/4 cup of sugar. Jans recipe needs 1/2 cup of sugar. How much more sugar does mike need than Jan?
Answers
Answer:
1/4
Step-by-step explanation:
simple
Mae Ling earns a weekly salary of $300 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?
She would make.. ______________
Answers
Answer: $622 in one work week.
Step-by-step explanation:
We need to start by multiplying $4,600 by 7% in order to calculate her commission sales prophets (=$322.0). It is given that her weekly salary is $300.
Add her sales prophet rewards ($322) to her given weekly salary income (300)
$322+$300= $622.0
HELP ILL GIVE BRAINLIEST AND LOTS AND LOTS POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answers
9514 1404 393
Answer:
3. 62.5% decrease
4. 26.2% decrease
5. 13.2% decrease
Explanation:
A percentage change is calculated from ...
percent change = ((new value) - (old value))/(old value) × 100%
When it is negative, the change is a decrease.
__
3. (24 -64)/64 × 100% = -40/64 × 100% = -62.5%, a 62.5% decrease
__
4. (4.8 -6.5)/6.5 × 100% = -1.7/6.5 × 100% ≈ -26.2%, a 26.2% decrease
__
5. (1.12 -1.29)/1.29 × 100% = -0.17/1.29 × 100% ≈ -13.2%, a 13.2% decrease
Solution to 2 variable equations 2x+3y=12
Answers
Answer:
x= -3/2y + 6
Step-by-step explanation:
Let's solve for x.
2x+3y=12
Step 1: Add -3y to both sides.
2x+3y+−3y=12+−3y
2x=−3y+12
Step 2: Divide both sides by 2.
2x
2
=
−3y+12
2