The area of a rectangle is found using the formula A=lw, where l is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x.


l=x+14; w=3x+1

Answers

Answer 1

Answer:

A(x) = 3x² + 43x + 14

Step-by-step explanation:

Area of a rectangle = length × width

length = x + 14

width = 3x + 1

Area of a rectangle = length × width

= (x + 14)(3x + 1)

= 3x² + x + 42x + 14

= 3x² + 43x + 14

express the area of each rectangle as a single polynomial in terms of x.

A(x) = 3x² + 43x + 14


Related Questions

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

Answer:

226.19 inches

Step-by-step explanation:

Answer pls it's due

Answers

wanna b my bestie :plead:

what is the:
axis of symmetry?
vertex?
Domain?
range?
x-intercepts?
y-intercept?
maximum or minimum?




Answers

Answer:

axis of symm:  x = -1

vertex:  (-1, -4)

domain:  all real numbers

range:  y ≥ -4

x-intercepts:  1, 3

y-intercept:  -3

minimum at (-1, -4)

Step-by-step explanation:

40 students where has their favorite shoe color
how many chose blue?

Answers

Answer:

8 students

Step-by-step explanation:

There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.

Please mark as Brainliest.

⚡✨

Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans

Answers

I think it’s gonna be 25%

Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?

Answers

Answer: 7,833

Step-by-step explanation:

match the answer to the equation

Answers

1: no solution

2: infinitely many solutions

3: one solution

MATH
NATION
The data from a survey of ages of people taking an exercise class was skewed to the left.
Part C: The box plot represents the data. Calculate the appropriate measure of spread.
Answer choices:
A. IQR= 45
B. IQR= 13
C. Standard deviation = 8
D. Standard deviation=55

Answers

Answer:

IQR=13 im pretty sure

Step-by-step explanation:

The measure interquartile range is 13 option (B) IQR= 13 is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.

We know on the left side skewed has more data on the right and on the left side, there are fewer data.

From the dot plot, the end point is not given, so we are assuming the end point is 58.

IQR = 58 - 45 = 13

Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ2

help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

Angle 3 and angle 5 are What Kind Of Angle

A.Corresponding
B.Same Side
C.Alternate interior

Answers

Answer:

The answer of this question is C

1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]

Answers

There are no possible positions for Ismael's house.

In this case, we need the following geometrical constructions:

1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.

2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.

All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.

We kindly invite to check this question on line segments: https://brainly.com/question/23297288

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Answers

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

34.607 to the nearest whole number

Answers

I know the answer is 35

82,78,86,82,94,84,90.What is the mode

Answers

the mode will be 82!! hope this helps

Answer:

82 ☺️

Step-by-step explanation:

2 5/6 divided by 3 1/4 please explain .

Answers

2 5/6 divided by 3 1/4 is like multiplying.
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.

17/6 x 13/4 to 17/6 x 4/13

17/6 x 4/13 = 68/78 = 34/39

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip

Answers

Answer:

If you add teacher plus students which is 490+10=500

you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!

Step-by-step explanation:

Help me please....... :(

Answers

Answer:

The Degree of the polynomial is 3

Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h​

Answers

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. ​Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?

Answers

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

OK a quarter steam covers a 100' square feet how many courts should you buy to stay in the wheelchair ramp

Answers

Answer:

He should buy about 2 quart of stain

Step-by-step explanation:

Find the diagram attached

First we need to find the area of the given ramp

The ramp consists of two identical triangles, a larger and small rectangles

Since area of triangle  = 1/2 * base * height

Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)

Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²

Area of the large rectangle = Length * Width

Area of the large rectangle = 25 1/12 * 5

Area of the large rectangle = 301/12 * 5

Area of the large rectangle = 1505/12 ft²

Area of the small rectangle = 25/12 * 5

Area of the small rectangle = 125/12 ft²

Area of the figure = 625/12 + 1505/12 + 125/12

Area of the figure = (625+1505+125)/12

Area of the figure = 2255/12

Area of the figure = 187.917

Area of the figure = 187.917ft²

Since  a quarter steam covers a 100' square fee, then;

1 quarter = 100ft²

x = 187.917ft²

Cross multiply

100 * x = 187.917

100x =187.917

x = 187.917/100

x = 1.87917

x ≈ 2

Hence he should buy about 2 quart of stain

What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?

Answers

Answer:

[tex]\frac{4}{15}[/tex]  (4/15)

Step-by-step explanation:

[tex]\frac{4}{6}=\frac{2}{3}[/tex]

[tex]\frac{2}{5}*\frac{2}{3};[/tex]

1- Multiply the numerators:

[tex]2*2=4[/tex]

2- Multiply the denominators:

[tex]5*3=15[/tex]

3- Thus:

[tex]\frac{2}{5}*\frac{2}{3}= \frac{4}{15}[/tex]

Hope this helps ;)

Find the volume of this square pyramid

Answers

Answer:

216

Step-by-step explanation:

Answer:

72yd

Step-by-step explanation:

Hope that helps

hsobsnsjns

For her birthday, Gale received $200. She would like to spend all or some of the money to take
guitar lessons. After an initial $50 fee to cover rental equipment, each guitar lesson will cost $25.
Write an inequality to determine how many lessons Gale could take using her birthday money.
Highlight your inequality in green. Then, solve the inequality.

Answers

Answer:

The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:

[tex]25x + 50 \leqslant 200[/tex]

The solution to the inequality is:

[tex]x \leqslant 6[/tex]

She can take at most, 6 guitar lessons

Step-by-step explanation:

Total amount Gale received is $200

For rental equipment, she paid $50

Each guitar lesson will cost $25

Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200

The guitar lesson will cost a total of 25x

So, her total spending will be:

[tex]25x + 50[/tex]

This must be at most $200

[tex]25x + 50 \leqslant 20[/tex]

Solving the above inequality:

[tex]25x \leqslant 200 - 50 = 150[/tex]

[tex]x \leqslant \frac{150}{25} = 6[/tex]

What is the difference between the greatest and least amounts of rain?

Answers

Answer:

1 inch

Step-by-step explanation:

hshuehevdjdbevejdj

3 apples cost $1.00. How many apples for $2.00

Answers

Answer:

6 apples

Step-by-step explanation:

3 apples cost $1.00

so for $2.00, 2x3÷1=6

hope it helps. plz mark me as brainliest.

Answer:

6 apples

Step-by-step explanation:

if three apples are 1 dollar then every time you add a dollar you would get three more apples

so it would look somthing like

1$ = 3 apples

2$= 6 apples

3$= 9 apples  

4$= 12 apples

so on

to know if two figures are _______ you have to analyze they have to have the same shape but not the same size​

Answers

Answer:

Similar!

Step-by-step explanation:

Hope this helps!

Congruent. 2 shapes are congruent if they are the same shape but not same size

Calculate the volume

Answers

The volume is decided by using the equation V (volume)=a^3. This means you multiply the length x hight x width. So we would do 5 x 4 x 2 which equals 40.

Help on here too plz there’s more in my acc I need help on all

Answers

x=2rad10
y=4rad5

it’s a 45-45-90 triangle so the two legs are the same. the equation for hypotenuse would be h=rad2 x leg. substitute; h=rad2 x 2rad10 = 4rad5

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=13°, and OM = 9.6 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:  the answer is 9.9

Step-by-step explanation:

Bart designed a logo using circles of different sizes. The diameters of three of the circles are

shown. Which measurement is closest to the area of the largest circle in square centimeters?

A 20.7 cm2

B 136.8 cm2

C 34.2 cm2

D 65.1 cm

Answers

Answer:

B 136.8 cm²

Step-by-step explanation:

Add the diameters of the three smaller circles to find the diameter of the largest circle.

D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm

area = πr²

area = 3.14 × (6.6 cm)²

area = 136.8 cm²

Other Questions
List at least three of the reasons Mao and the Communists won in China. Basting involves which of the following?A. Covering the outside with liquid while cookingB. Using as much of the chicken as possible once it is cookedC. Cooking it at a very high temperature for the first 15 minutesD. Tying the legs of the chicken together before putting it in the oven A moving 10 kilogram object has 20 Joules of kinetic energy. What is its velocity?4 m/s2 m/s10 m/s200 m/s Which statements are true about the crisis in Cuba in 1962?Choose all answers that are correct.JFK agreed with his advisers who wanted to bomb Cuba.Cuba wanted the U.S. blockade to prevent Russia from sending more missiles to their island.JFK agreed to place U.S. missiles in Turkey.After 13 tense days, Khrushchev agreed to remove Soviet missiles from Cuba.The United States, Russia, and Britain signed a treaty to test nuclear arms together.A U.S. spy plane photographed Soviet missiles in Cuba. You plan to visit Geneva, Switzerland in three months to attend an international business conference. You expect to incur the total cost of SF 5,000 for lodging, meals and transportation during your stay. As of today, the spot exchange rate is $0.60/SF and the three-month forward rate is $0.63/SF. You can buy the three-month call option on SF with the exercise rate of $0.64/SF for the premium of $0.05 per SF. Assume that your expected future spot exchange rate is the same as the forward rate. The three-month interest rate is 6 percent per annum in the United States and 4 percent per annum in Switzerland.Required:a. Calculate your expected dollar cost of buying $F5,000 if you choose to hedge by a call option on SF. b. Calculate the future dollar cost of meeting this SF obligation if you decide to hedge using a forward contract. c. At what future spot exchange rate will you be indifferent between the forward and option market hedges? d. Illustrate the future dollar cost of meeting the SF payable against the future spot exchange rate under both the options and forward market hedges. Select the term that best describes the image.A.la scneB.les lumiresO c. le machinisteOD.la mise en scne !! IMAGE ATTACHED !! In the diagram, line GH is perpendicular to line IJ. What is the measure of angle 1? A. 37 B. 53 C. 63 D. 74 What is a Synonym and an Antonym for Disarmament?I give Brainliest! You have to decide to change the temperature at which you run a certain reaction in hope of obtaining more product more quickly. You find that you actually get less of the desired product, although you get to the equilibrium state more quickly. Explain what happened. Local versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and theres a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by nding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y Answer the following question using 2-3 sentences: Do you think that it is possible for an immigrant to be considered a patriotic American, even if they do not fully assimilate into American culture? A CD has a diamter of 4.75 inches, Find the circumference, Use calculator pi or 3.14. Round to the nearest hundredth, if necessary.WILL GIVE BRAINLIEST!!! PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be? I WILL GIVE BRAINLIEST!!!!!!Write in complete sentences to explain what a budget is, how to make one, and how to balance it. Which government function would not be provided by a county government?Question 11 options:providing sheriffs office servicesrepairing a sewer systemissuing a marriage licensedelivering mail 6. The table shows the number of manatee deaths caused by watercraft in Florida each yearbeginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table tofind the best model and the R2 value.Year12345678910Deaths16242015343333394350(1 point)linear model, 0.845exponential model, 0.779power model, 0.682quadratic model, 0.866 Please answer thank u ASAP. Find the perimeter of this complex shape. However, in day-to-day experience, the strangeness of Einstein's ideas doesn't help us, and Newton's notions do just fine. In everyday Life, when gravity isn't especially intense, Newton's and Einstein's ways of thinking lead to similar results. The two explanations work like different languages that express the same thing.A Black Hole Is NOT a Hole, Carolyn Cinami DeCristofanoWhy is it important to learn about Newton's view of gravity? *It is similar to Einstein's theory.It is important to know other languages.It works in most daily situations.It explains how a black hole works.