F(x) = 3 x 2 − 3 x − 6 The domain of a the function f(x) is { -10, -1, 1, 5 }. What is the range of the relation?

Answers

Answer 1

Answer:

{324, 0, -6, 54}

Step-by-step explanation:

Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.

To get the range, we will find f(x) for all the domains

at x = -10

f(-10) = 3(-10)²-3(-10) - 6

f(-10) = 3(100)-3(-10) - 6

f(-10) = 300+30-6

f(-10) = 330-6

f(-10) = 324

at x = -1

f(-1) = 3(-1)²-3(-1) - 6

f(-1) = 3(1)-3(-1) - 6

f(-1) = 3+3-6

f(-1) = 6-6

f(-1) = 0

at x = 1

f(1) = 3(1)²-3(1) - 6

f(1) = 3(1)-3(1) - 6

f(1) = 3-3-6

f(1) = 0-6

f(1) = -6

at x = 5

f(5) = 3(5)²-3(5) - 6

f(5) = 3(25)-3(5) - 6

f(5) = 75-15-6

f(5) = 60-6

f(5) = 54

Hence the range of the relation are {324, 0, -6, 54}


Related Questions

Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD

Answers

A and C

A- AngleBAC and AngleCAE

C-AngleCAE and AngleFAE

Step-by-step explanation:

Edg2021

Answer:

The answer is  A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE

Step-by-step explanation:

Got it right on the assignment.

help please. 10 points to who help me​

Answers

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

Tell me what is the equation for equation 1 and 2

Answers

Answer:

2x+3y=12$

3x+2y=19$

Hope it helps

in an equilateral triangle the sides are 14sqrt7. find the length of the altitude

Answers

Answer:

1

Step-by-step explanation:

the perimeter of a square is 7.2 meters how long is each side ?

Answers

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

What is the product of (–8.2)(1.9)?
–15.58
–6.3
6.3
15.58

Answers

Answer:

-15.58

Step-by-step explanation:

Answer:

-15.58

Step-by-step explanation:

Multiply the traditional way

-8.2

x1.9

-------

738

820

----------

15.58

But because you're multiplying a positive and a negative, the answer will be negative leaving you with (-15.58)

Find x, y, and z. (Round to the nearest tenth if needed.)
12
у
X
N

Answers

Answer:

I'm sorry that your frog is dead, at least now we can fry his legs ~~tasting like chicken ~~~~~~flavor ain't missing

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

Pass a brotha some help :(

Answers

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

#teamtrees #PAW (Plant and Water)

using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up

Answers

Answer:

g(x) = 2^x + 6

Step-by-step explanation:

Parent function:

f(x) = 2^x

Translation 6 units up:

g(x) = f(x) + 6

or

g(x) = 2^x + 6


Please help due tonight

Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?

Answers

Using algebra
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3

WILL MARK YOU BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

2(5) + 5 = 15

<><><><>Simple true and false math<><><><>

Answers

Answer:

true

Step-by-step explanation:

just my opinion but for me it's true

Answer:

TRUE I AGREE WITH THE PERSON UP ABOVE

Step-by-step explanation:


A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?

Answers

Answer:

ima guess $262.50

Step-by-step explanation:

The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m

Answers

Answer:

D. 1.47

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?

Answers

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

Write 62/100 as a decimal

Answers

Answer:

.62

Step-by-step explanation:

62 ÷ 100 = .62

:)

Answer: 0.62

Step-by-step explanation: plz this is the right answer because we have to always put like this

62/100 ->           62/100 you have to always go backward when it 0 then u can go one time when it 00 then you have to go twice 62/100   count 62 oh sorry I couldn't show very well but that is how it is

Read the following bar graph and answer the following related questions :



a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?

Answers

Answer:

who got the maximum marks? it would have been apala she got the high mark

show work please
A runner is running up a 30 mile steep hill. He passes a sign that says the road is at an
incline of 15° with bottom of the hill, how high is the top of the hill? Round your answer to
the nearest tenth.

Answers

Answer:

Step-by-step explanation:

sin15=h/30

h=30sin15

h=7.8 mi

WILL MARK YOU BRAINLIEST

Answers

Answer:

ABCD is a rhombus => AC is perpendicular with BD

=> AC = 2(2n + 5) = 30

<=> 2n + 5 = 15

=> n = 5

with n = 5 => AC/2 = 15

BD/2 = 4.5 - 3 = 17

BC² = (AC² + BD²)/4 = 514/4 = 128.5

=> BC = 11.34

Answer:

Step-by-step explanation:

The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.

AC = 30

2n + 5 = 30      Subtract 5 from both sides.

2n = 30 - 5

2n = 25            Divide by 2

n = 25/2

n = 13.5

====================

BD = 4n - 3

BD = 4*13.5 - 3

BD = 54 - 3

BD = 51

James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?

Answers

Answer:

27,200

Step-by-step explanation:

15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.

27,700
Will be the answer for this question

Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.

Write a function to represent the value of the car as a function of time.

A. v(t)=18000(0.012)^t

B.V(t)=18000(1.2)^t

C.v(t)=18000(98.8)^t

D(t)=18000(0.988)^t

Answers

Answer:

A(t)= 18000(0.988)^t

Step-by-step explanation:

Given data

Ryan bought a brand new car for $18,000

Its value depreciated at a rate of 1.2%

Let us use the compound expression

A= P(1-r)^t

substitute

A= 18000(1-0.012)^t

A(t)= 18000(0.988)^t

Hence the expression is A(t)= 18000(0.988)^t

A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Exponential function

The standard exponential equation is in the form y = ab^x

b is the rate which can be growth or decline

If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciation

If Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t

v(t) = 18000(1-0.0012)^t

v(t) = 18000(0.988)^t

Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Learn more on exponential function here: https://brainly.com/question/12940982

rewrite in a simpler equivalent form and solve

Answers

Solution: x = 4
Here’s a more clear explanation I found :)) have a good day

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)

a population of 100,000 decreases by 6% each year. write a graph to explain that

Answers

Answer:

Step-by-step explanation:

Your graph equation is going to be y = 100,000 - .06x

So basically the graph is easy to explain it is 3.45 by T

a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5

Answers

Answer:

16,000

Step-by-step explanation:

16,000 - answer

The measure of angle ABD is 105º. The measure of angle ABC is 75º. What is the measure of angle CBD? A 75° B >C ? D 1>) 170° 1) 30° 1) 25° 1) 180°​

Answers

30°

105-75=30°
djdhshshe


Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.​

Answers

Answer:

y = 2/3

Step-by-step explanation:

14 = 6(2) + 3y

14 = 12 + 3y

2 = 3y

y = 2/3

Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

https://brainly.com/question/19334153?referrer=searchResults

The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.​

Answers

Answer:ugh is there an picture maybe i can understand it better?

Step-by-step explanation:

Other Questions
Read the following bar graph and answer the following related questions :a) Who got the maximum marks?b) Who got the minimum marks?c) The ratio between the marks obtained by Saroj and Vimla is _______.d) How many girls have got marks of more than 100? The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.Please help I'm in the test. Joseph is 14 years old. He has lived in Warsaw, Poland, his whole life. Now that it is 1939 and the Nazis have taken over, Joseph is told that he must always identify himself as a Jew to protect other citizens. How is Joseph to do this?A. He must sew a yellow Star of David on his clothing.B. He must shout Jew wherever he goes in town.C. He must wear a white armband with a blue Star of David.D. He must wear a blue fringe at the bottom of his shirt. A summary begins with an introductory part that tells the title of the text, who is the author and of course, the main point of the text as you read it. (summary) * El organismo colonial que cumpla funciones de mximo trabunal de justicia en Amrica y sus jueces eran llamados Oidores, fue Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.Write a function to represent the value of the car as a function of time. A. v(t)=18000(0.012)^tB.V(t)=18000(1.2)^tC.v(t)=18000(98.8)^tD(t)=18000(0.988)^t Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD How is a renewable resource different from a nonrenewable one? A. A renewable resource is more likely to run out. B. A renewable resource can never be replenished. C. A renewable resource has a higher demandD. A renewable re purse is replenished faster than it is used A coat at a store is originally priced at $85. The store marks the price down to $68. To the nearest percent, what is the percent markdown of the coat ? I'll give branliest to whoever is right HELP ME ASAP PLSHome 30%fastfood 15%malls 20%movie houses 15%outing 5%neighbors 3%parks 2%Fellowship 10%1. 15% of the respondents answered, they spend their Sundays in __________2. 10% answered, ___________3. 30% represents ___________ A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax? Hello Learners. The music of Mindoro is categorized into vocal and instrumental music. Do you know about their music? Direction: Write what you currently know about the vocal and instrumental musicof Mindoro.Please answer nyo po eto i promise nah brainlest ko po kayu Find o% of 176:Find 100% of 176:Find 50% of 176:Find 25% of 176:Find 75% of 176: Bubbles are released when nitric acid is added to a potassium carbonate solution.What is the net ion Which ordered pair best represents the coordinates ofa point that could be the third vertex of the righttriangle?A (5,-5)B (-4,6) (-3,-6)D (3,4)PLS HURRY I HAVE A TEST How did the French and Indian Warhelp cause the American Revolution?A. French could not pay the debt of the war.B. Britain taxed the colonists to pay for the war.C. The British became too weak to protect thecolonies. Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes15 years to pay off the loan and interest. How much interest does she pay? What isthe total amount she pays? Reread the thesis and blueprint of three aspects to cover. List them in order and then analyze body paragraphs 1, 2 & 3. Does the writers thesis blueprint align with the body paragraph topics? yes or no explain 12.74. Mariana compr 46 pies de listn azul, para hacer adornos navideos, cuntoscentmetros de listn tiene? (1 pie=0.3048 m)1314