Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x^2 − 6x + 1 square feet, what is the length of one side of the room?

(3x + 1) feet
(9x − 1) feet
(3x − 1) feet
(9x + 1) feet

Answers

Answer 1
The answer is (3x-1) feet.

Related Questions

Rachel earned $34 dollar sign, 34 in 4 hours at her job today. She wants to know how much she could earn (e)left parenthesis, e, right parenthesis tomorrow if she works 10 hours at the same hourly rate

Answers

She gets 17 in 2 hours, and $85 in 10 hours.

Answer: Hence, She earned $85 in 10 hours at her job.

Step-by-step explanation:

Since we have given that

In 4 hours at her job, amount she earned = $34

We need to find the amount she earned in 10 hours.

We will use unitary method, to find this.

In 4 hours, amount = $34

In 1 hour, amount is given by

[tex]\dfrac{34}{4}[/tex]

In 10 hours, amount is given by

[tex]\dfrac{34}{4}\times 10\\\\=\dfrac{340}{4}\\\\=\$85[/tex]

Hence, She earned $85 in 10 hours at her job.

You begin solving the equation 3+4x =51 by subtracting 3 from both sides.which is the best choice answer for step 2?

Answers

Not sure what choices you are given but
3+4x=51
-3       -3
4x=48
divide by 4 to both sides
x=12
3 + 4x = 51

step 1: subtract 3 from both side 

3 + 4x - 3 = 51 - 3
4x = 48

step 2: divide by 4 on both side

4x = 48
4x ÷ 4 = 48 ÷ 4
x = 12

You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has a diameter of 3.5 inches. What is the volume of each cone? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

we have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
V=(1/3)*9.616*5=48.08 in³--------> 48 in³

the answer is 48 in³

Answer:

The answer is about 16

Step-by-step explanation:

each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 ft if there are four blades on the windmill what is the total area of the blades

Answers

The total area of the blades is the area of a triangle multiplied by 4.

We have then:

[tex] A = (4) * (1/2) * (b) * (h)
[/tex]

Where,

b: base of the blades

h: height of the blades

Substituting values we have:

[tex] A = (4) * (1/2) * (7) * (4)
[/tex]

Doing the calculation we have that the area of the blades is given by:

[tex] A = 56 feet ^ 2
[/tex]

Answer:

The total area of the blades is:

[tex] A = 56 feet ^ 2 [/tex]

Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 ft if there are four blades on the windmill what is the total area of the blades

Total area of blades= Sum of areas of all blades

=Sum of areas of four blades

As, all blades have same dimension

SO, Total area of blades=4*Area of one blade

As, shape of blade is triangle, Area of triangle=[tex] \frac{1}{2} [/tex]*base*height

Total Area of blades =4* [tex] \frac{1}{2} [/tex] * base * height

Total Area of blades =4* [tex] \frac{1}{2} [/tex] * 7 * 4

Total Area of blades =4* [tex] \frac{1}{2} [/tex] * 28

Total Area of blades =4* 14

Total Area of blades =56 square feet

PLEASE HELP
8.06

1. Draw a graph of the rose curve.
r = 2 sin 3θ, 0 ≤ θ ≤ 2π

A) a graph of three loops originating at the origin where one loop lies on and is symmetric about the y axis and the other two loops lie in quadrants one and two
[-2, 2] by [-2, 2]
B) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
C) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
D) a graph of three loops originating at the origin where one loop lies on and is symmetric about the axis and the other two loops lie in quadrants two and three
[-2, 2] by [-2, 2]

2. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
a circular graph with an indentation on the top to the origin

[-5, 5] by [-5, 5] (2 points)

A) r = 2 - 2 sin θ
B) r = 3 - 2 sin θ
C) r = 2 + 2 sin θ
D) r = 1 - 3 sin θ

3. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 - 3 sin θ

A) Origin only
B) x-axis only
C) y-axis only
D) No symmetry

4. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 9 sin 7θ

Answers

Hello,
Please, see the attached files.
Thanks.

can some one help me with this?:
A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6pi meters long.
What is the radius r of the circle that the python forms?

Answers

2.6pi is the circumference 
circumference is 2pi*r
so 2.6pi=2pi*r
2.6=2r
r=1.3
The radius should be 1.3 meters

Please help me I have no idea what to do.

Answers

when was the emergence of life on Earth?  well, First life was 3.5 billion years ago.

how long does it take the Sun to Orbit about?  well, Orbital period is 250 million years

how many times does 250 million goes into 3.5 billion?

3,500,000,000 ÷ 250,000,000

that many.

A large frog eats 500 flies a day. How many flies does a frog eat in a 365-day year?

Answers

500 flies a day  x 365 days = 182500 flies a year
182,500 flies because 500 x 365 = 182,500

What is the result of adding the system of equations?

2x + y = 4
3x - y = 6

x = 2
x = 10
5x = 10

Answers

(2x +y) +(3x -y) = (4) +(6) . . . . . add the equations
x(2 +3) +y(1 -1) = 10 . . . . . . . . . collect terms
5x = 10 . . . . . . . . . . . . . . . . . . . simplify -- your last answer selection

Answer:  5x =10

Step-by-step explanation:

Hi, to answer this question we have to solve the system of equations given. .By adding each equation we eliminate the variable Y .

a)2x + y = 4  

+

b)3x - y = 6

________

5x =10

The result of adding the system of equations is the expression 5x =10.

if we continue and Isolate x :

x =10 / 5 = 2⇒ x=2

Feel free to ask for more if it´s necessary or if you did not understand something.

15 is what percent of 40?

Pls Show Work

Thx

Answers

15 = rate * 40
rate = 15/40
rate = 0.375 * 100% = 37.5%
15:40*100 =
(15*100):40 =
1500:40 = 37.5 
answer is 37.5 

Why might algebra tiles not be a good tool to use to factor x^2 + 18x + 80? Explain.

Answers

Algebra tiles might not be a good tool to use to factor the polynomial x^2 + 18x  + 80 because you would need too many tiles and a large space to place them.

The algebra tiles procedure consists on using tiles to represent each kind of term: x^2, x and unit

It is easy to factor an expression like x^2 + 3x + 2 because you can do it placing one positive x^2 tile in the upper left corner, two x tiles on the right side of the x^2 tile, one x tile below the x^2 tile, and two unit tiles in the bottom right corner, since the factored expression is (x + 1)(x + 2).

But the factored expression of x^2 + 18x + 80 is (x + 10)(x + 8): 10 + 8 = 18 and 10 * 8 = 80.

Those factors means that the rectangle to be formed would need you to place one positive x^2 in the upper left corner, 10 x tiles on the right side of the x^2 tile, 8x tiles below the x^2 tile, and 80 unit tiles to fill the rectangle. That is not practical.

Sample Response: Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

Whereas < is called a relational operator, x < y is called a(n) _______?

Answers

The answer will be Relational Expression as y and x are being compared, one being greater/smaller than the other.

PLEASE HELP!!!! POINTS^^^^^^

1.) Kayla wants to find the distance, AB, across a river. She walks along the edge of the river 75 ft and marks point C. Then she walks 100 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are collinear.

2.) Can Kayla conclude that ∆ABC and ∆EDC are similar? Why or why not?

3.) Suppose DE= 175 ft. What can Kayla conclude about AB? Explain. Don’t forget to label your answer.

Answers

1 - yes 100 and 75 are both collinear both are the same line.

2 - She can conclude that there both similar because the both go the same direction and both same shape.

3 - AB would equal 150 because the other one was 100 and the other angle was 25 down. So AB would equal 150.

Hope I helped

Given that (-4,1) is on the graph of f(x), find the corresponding point for the function 4f(x)

Answers

f(-4) = 1
4f(-4) = 4

The point of interest is (-4, 4).

in the figure below,angle y and angle x from vertical angles.angle y forms a straight line with 80° angle and the 60° angle

Answers

Can you add a picture?

How to find two consecutive positive even integers such that their sum is 48?

Answers

There is no possible answer

22 + 24 = 46

24 + 26 = 50

Choose the graph which represents the solution to the inequality.

Answers

The answer is D

To solve the inequality:

3-2x >= -17
-2x >= -20
x <= 10       when you divide by a negative, the inequality sign switches 

Graph D covers all numbers less than or equal to 10
I believe that D is correct. When u solve this, it is 3-2x is greater than or equal to -17. you need to isolate x, so you minus 3 from each side. Since 17 is negative, you are just adding a negative to the other side, giving you -20 is less than or equal to -2x. since it is a negative, you do -20/-2. But don't forget, that it was a negative, so you need to switch the sign. So x is less than or equal to 10. I hope this works!!! Another way to check is to plug your answer back into the equation and see if it works. 
PS. Open circle is without the bottom equal sign, Closed circle always has to bottom line. I always get confused with those. 

300 pounds of oranges were purchased at $0.24 per pound. The desired markup is 50% based on selling price, but 21% spoilage is expected. What should the selling price per pound be? (Round your answer to the nearest cent)

Answers

The selling price per pound, considering 50% markup and 21% spoilage, should be approximately $2.74, rounded to nearest cent.

To find the selling price per pound, we need to consider the cost, the desired markup, and the expected spoilage.

First, let's calculate the total cost of the oranges:

Total cost = Quantity * Cost per pound

Total cost = 300 pounds * $0.24/pound

Total cost = $72

Next, let's calculate the selling price per pound with the desired markup:

Markup based on selling price = 50%

Let's denote the selling price per pound as S.

[tex]\[S = \frac{{\text{Total cost}}}{{1 - \text{Markup}}} \times (1 + \text{Markup})\]\[S = \frac{{72}}{{1 - 0.50}} \times (1 + 0.50)\]\[S = \frac{{72}}{{0.50}} \times 1.50\]\[S = 144 \times 1.50\]\[S = 216\][/tex]

So, the selling price per pound, without considering spoilage, should be $2.16.

However, since 21% spoilage is expected, we need to adjust the selling price per pound to account for the expected loss.

[tex]\[S_{\text{adjusted}} = \frac{{S}}{{1 - \text{Spoilage}}} = \frac{{2.16}}{{1 - 0.21}} = \frac{{2.16}}{{0.79}} \approx 2.738\][/tex]

Rounding to the nearest cent, the selling price per pound, accounting for expected spoilage and desired markup, should be approximately $2.74.

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+0.60M18.95, where M is the number of miles driven.

The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+0.15M3.70
.

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.

Answers

Lets see... we have two companies charging two different prices.  So, the first thing we need to do if find the equation of both companies. Company A: c= 0.25m+30       m is the number of miles, which costs .25 cents.  Hence, .25mCompany B: c= 0.10m+40      it charges 10 cents per mile, which is 0.10 m Now, make the two equations equal to each other.  The answer that we get will be the exact number when you pay the same cost for either company A or B.  In other words, at that number of miles you don't care which company you choose.  However, if you go beyond that number of miles or below that number of miles, it will make a difference. 0.25m+30=0.10m+40     Subtract 30 from both sides          -30              -300.25m=     0.10m+10      Subtract 0.10m from both sides  -0.10m    -0.10m0.15m= 10                      Divide both sides by 0.15     m= 66 2/3   Up to that point, company A will be the best choice.  After that particular number of miles, company B will be the better choice. Hope this helps you.

~ Natalia 
 

helppppppppppppppppppppppppppppppp

Answers

The Binomial Expansion Theorem for a binomial elevated to the fourth power is: [tex](x+y) ^{4} = x^{4} + 4 x^{3} y + 6 x^{2} y^{2} + 4x y^{3} + y^{4} [/tex]
Now lets apply this to our expression: 
[tex](y^{3} +3x)^{4} = y^{12} +12x y^{9}+54 x^{2} y^{6}+108 x^{3} y^{3} +81 x^{4} [/tex]
The third term in our binomial expansion is [tex]54 x^{2} y^{6} [/tex]; therefore, the correct answer is the fourth one.

Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.

Answers

We will evaluate both expressions step by step.

 Sylvia's espression:
 h + 0.05h
 h: Original hat price.
 0.05h: Increase of 5% due to sales tax.

 Jin's expressions:
 1.05h 
 h: Original hat price.
 1.05: Factor for which you must multiply the original price to add 5% due to sales tax.

Answer:

Step-by-step explanation:

Sylvia's expression

H: Price of hat

0.05: percent sales tax

0.05 h: amount of sales tax Sylvia will pay

h+0.5 h: total amount Sylvia will pay

Jin's Expression

1.05: One whole plus percent sales tax

H: price of hat

1.05 h: total amount Sylvia will pay

Students on the CARE Team are selling puppies, yes, puppies! They earn $0.40 on each puppy they sell. Their goal is to earn more than $327. Choose the inequality to find the fewest number of puppies they can sell and still reach their goal. Also indicate what that number would be.

Answers

0.4 x >= 327 Divide by 0.4
x >= 327/0.4 which is not going to be an even number.
x >= 817. 5 puppies. So they need to sell 0.5 more puppies. Better round this quickly before someone decides to do something stupid to get the extra 1/2 puppy. For us it's simple. Just add a 1/2 puppy more.

x >= 818 puppies <<<<==== answer.

50 POINTS!
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply

A)The inequality should be written as 25s<300.

B)The inequality should be written as 25s>300.

C)The circle is open.

D)The circle is closed.

E)The arrow points left.

F)The arrow points right

Answers

The inequality should be written as 25s <300, The circle is open, and The arrow points left.

Answer:

Step-by-step explanation:

A,C,E

Quiz: Area of Rectangles Assessment items A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2 Assessment navigation

Answers

The area is 299 square yards or 299/1.

Quiz: Area of Rectangles Assessment items A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2 Assessment navigation

Length of rectangle=13yards

Width of rectangle=23yards

The formula for, Area of rectangle= length*width

So, Area=13*23[tex] yards^{2} [/tex]

As, 13 multiplied by 23 is 299

So, Area=299[tex] yards^{2} [/tex]

To represent in fractions, Area=[tex] \frac{299}{1}yards^{2} [/tex]

Area=299[tex] yd^{2} [/tex]

1.) There are 8 people in a room.
Each person shakes hands with each of the other people once and only once.
How many handshakes take place?

2.) A student has some pigs and some chickens.
He finds that together they have 70 heads and 200 legs.
How many pigs and how many chickens does he have?

3.) A well is 10 feet deep.
A frog climbs up 5 feet during the day, but falls back 4 feet at night.
Assuming that the frog starts at the bottom of the well,
how many days does it take the frog to get to the top?

I'm looking for work shown, too, please! :)

Answers

1. 8 people, every person would shake hands with 7 other people
1st person shakes hands with 7 people
2nd person shakes hands with 6 people ( they already shook hands with the first person)
3rd person shakes 5 hands
4th shakes 4 hands
5th person shakes 3 hands
6th person shakes 2 hands
7th person shakes 1 other hand
 total = 7 +6 +5 +4 +3 +2 1 = 28 handshakes total




2. P = 70-C
4P + 2C = 200
4(70-C) +2C = 200
280 - 4c + 2c = 200
280 -2c = 200
-2c = -80
c = -80 / -2 = 40 chickens 
70-40 = 30 pigs

3. 6 days = see picture:


Answer: i know im a tad late here.

# 1: 56= 8 people shakes hands. There are 8 hand shakers and each handshake with 7 other people. It means one person handshakes with 7 people.

# 2: 200 divided by 4= 50 so 30 pigs is 120 legs and 40 chickens which is 80 legs

# 3. im not good at graphs. i do believe the other person made one through.

hope you have a good day, love. and sorry for my answer being late.

Decide whether the data table represents a linear function or an exponential function PLEASE!

Answers

This would be exponential! 

Answer:

D

Step-by-step explanation:

55.9 is what percent of 545.8? Click to select the correct answer. Round answer to the nearest whole number.

Answers

305 because 545.8*.559= 305.1022
Final answer:

55.9 is approximately 10% of 545.8. To calculate this, divide 55.9 by 545.8 and then multiply by 100 to get the percentage, and round to the nearest whole number as per the precision of the given values.

Explanation:

To find what percent 55.9 is of 545.8, we use the formula for percentage: Percentage = (Part / Whole) × 100. Plugging in the numbers, we get:

Percentage = (55.9 / 545.8) × 100

Executing the division first (as per order of operations), we have:

Percentage = 0.1024 × 100

Now, multiplying by 100 to convert to a percentage:

Percentage = 10.24%

Rounding this to the nearest whole number, we get 10%. Because the question requires following proper rounding rules based on significant figures, we consider the least precise number provided - 55.9 (tenths place) - when determining the final answer. Therefore, we round the percentage to the tenths place to coincide with the precision of the given values.

think of 2 numbers that subtract to 5 and multiply to 24

Answers

To solve this
write out all the numbers that multiply to get to 24 and subtract and see which will be 5
1 * 24 <---    -23
2* 12 <---   -10
3*8 <---  -5
4*6 <--- -2
6*4 <--- 2
8*3<---  5
12*2<--- 10
24*1<---23

We can see that 8 and 3 multiply to get 24 and subtract to get 5

8*3 = 24
8 - 3 = 5

Hope this helps :)

Mrs. Rodriguez has 18 packages of pens in stock at her store on monday. On tuesday, she has 5/6 the number of pens she had on monday. On Wednesday, she has 2/5 of the number of pens she had on tuesday. How many packages of pens does she hve on Wednesday?

Answers

she should have 6 pens left over

Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.

[tex] Number \; of\; packages\; of \; Pens\; on\; Monday=18\\ \\ [/tex]

On Tuesday, she has 5/6 the number of pens she had on Monday, which means...

[tex] Number \; of\; packages\; of \; Pens\; on\; Tuesday=\frac{5}{6} \; of \ 18 = \frac{5}{6} \times 18=\frac{90}{6}=15\\ [/tex]

On Wednesday, she has 2/5 of the number of pens she had on Tuesday, which means...

\\ Number \; of\; packages\; of \; Pens\; on\; Wednesday = \frac{2}{5} \; of \ 15=\frac{2}{5} \times 15=\frac{30}{5}=6

Conclusion:

Number of packages of pens does she have on Wednesday is 6 Packages

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. When he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon?

Answers

His end mileage minus his starting mileage will give us the total number of miles he traveled.  28017-26645=1372 miles traveled.
We can divide that by his average mpg to figure out how many gallons of gas he bought:
1372/48 = 28.583 gallons.
Now divide the amount he paid by this to get the price per gallon:
62.28/28.583 = $2.179 per gallon of gas.
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