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

can u help pls like pls

Answers

Answer:

E. 16

Step-by-step explanation:

Easy:

Formula: P=2(l+w)

Plug in and solve:

P=2(3+5)

P = 16 (Option E is correct)

The answer is option E 16cm

Which value of t makes the two matrices inverses of each other?

Answers

Answer:

C) 2

Step-by-step explanation:

I got it right on Edge 2021

The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well.  Brainliest please :)

Ignore grammar and spelling mistakes

Answer: 2

Step-by-step explanation:

Ahh i hate math fr someone help

Answers

i think C but probably try to find something to back it up
All you gotta do is divide the pound by the cost

The person who answers has an explanation that doesn't have a link, and isn't incorrect gets brainiest. Ok here is the question "What are the first 30 characters in pi aka ~3.141592653589793238462643383 is all I remember."

Answers

Answer:

3.14152628283829299348473929

Can somebody plz help answer these questions correclty (only if u remmeber how to do these) thanks sm!

WILL MARK BRAINLIEST WHOEVER ANSWEERS FIRST :DDD

Answers

Answer:

a= 126 degrees

b= 54 degrees

r= 54 degrees

s= 126 degrees

Step-by-step explanation:

This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.

t = p + 17

The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?

phone calls

Answers

hmmm I dunno sorry ......

What is the value of 24/25 divided by 4/5

Answers

Answer:

1.2

Hope it helps :)

[tex]\frac{24}{25}*\frac{5}{4}\\\\\\=\frac{6}{5}[/tex]

14. The diagonals of square ABCD intersect at E. If AE = 2, find the perimeter of ABCD.

Answers

Answer:

B, [tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Diagonals of a square are congruent so AC= 4

using pythagorean theorem we can then do [tex]x^{2} +x^{2}[/tex]=[tex]4^{2}[/tex]

[tex]2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}[/tex]

Then for perimeter we times the [tex]2\sqrt{2}[/tex] by 4 and get

[tex]8\sqrt{2}[/tex]

Hope this helps and please mark brainliest!!

PLEASE HELP!!!! Jul is using the graph of an exponential function to represent the value of an investment where x is the number of years Jul has owned the investment. Which statement correctly describes a key feature of the function?

Answers

Answer: the answer is D

Step-by-step explanation:

Trust me

the domain of the function is x greater than equal to 0.

Answer: The domain of the function is x>0. So D just took the test, got it right!

Step-by-step explanation:

Find an angle in each quadrant with a common reference angle with 258°, from 0°≤θ<360°

Answers

132 degrees



Subtract 360 degrees from 258 to get =132 degrees

The reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

What is the reference angle?

the angle between the terminal side of the angle and the x-axis.

For the first quadrant:

The reference angle = 258 - 180 = 78°

For the second quadrant:

= 180 - 78 = 102°

For the third quadrant:

= 78 + 180

= 258°

For the fourth quadrant:

= 360- 78

= 282°

Thus, the reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

Learn more about the reference angle here:

brainly.com/question/16210309

#SPJ2

Alan set his watch 13 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Alan last set his watch if the watch is 35 seconds behind?

Answers

it would be 22 days.

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

 

Now, that really isn't complicated, right?

A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.

Answers

Answer

let the triangle be supposed ABC

where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree

the base side of triangle is 6cm which means ;

By taking angle A as reference angle

Hypotenuse = AC = x(let)

perpendicular = BC

base = AB = 6 cm

    then by taking base and hypotenuse

b/h = AB/AC

or, cos (30 degree)= 6/ x

x =[tex]4\sqrt{x} 3[/tex] cm

that concluded that AC = [tex]4\sqrt{3}[/tex] cm

  Now,

by phythagorous theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]

 

so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm

Step-by-step explanation:

Expand 3(n + 7) show FULL work

Answers

Answer:

3n + 21

Step-by-step explanation:

3(n + 7)

3n + 21

A drug store chain provides an app to its customers to track their shopping habits. One statistic the app

tracks is the amount of money the customer saves by purchasing sale items. The company's sales

team pulls data from the previous year for a random sample of 50 customers. They find that the

mean amount of money saved by these customers in the previous year is $154 with a standard

deviation of $26.

(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers

in the previous year by purchasing sale items.

(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of

error. Propose two changes that would decrease the margin of error. What are potential

drawbacks if those changes are implemented?

Answers

Answer:

a) CI ( 99% )  = ( 145,45 : 162,55)

b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Step-by-step explanation:

a) CI = 99 %       α = 1%   α = 0,01

From z-table     z(c)  ≈ - 2,325    |z(c)| ≈ 2,325

CI = ( μ₀ ± z(c) * σ/√n )

CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )

CI = ( 154 -  8,55  ;  154 + 8,55

CI ( 99% )  = ( 145,45 : 162,55)

b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?





Answers

each one should be 0.79 pounds. this was found through basic division.
0.79 pound of candy in each bag

Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth ​

Answers

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

What is the value of x?
r \ 130°

Answers

Answer:

Step-by-step explanation:

Answer:

I don't see an "x" or an equation-

y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify (explain).

Answers

Answer:

(1,1)

Step-by-step explanation:

Since both the equations equal y, we can replace one of them with y.

y=-3x + 4

3x - 2 = -3x + 4

Add 3x to both sides.

6x - 2 = 4

Add 2 to both sides of the equation.

6x = 6

x = 1

Now that we know what x is, we can plug that value into one of the original equations.

y = 3x -2

= 3(1) - 2

= 3 - 2

= 1

What is the solution to this system

Answers

Answer:

(1, - 1)

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (1, - 1)

Then (1, - 1 ) is the solution to the system.

What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?

Answers

Answer:

The diameter is 8.6cm

Step-by-step explanation:

Given

Shape: Sphere

[tex]Volume = 332cm^3[/tex]

Required

Determine the diameter of the sphere

First, calculate the radius using:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

Substitute: [tex]Volume = 332cm^3[/tex]

[tex]332= \frac{4}{3} \pi r^3\\[/tex]

Solve for r

[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]

[tex]r^3 = \frac{996}{4 * \pi}[/tex]

[tex]r^3 = \frac{249}{\pi}[/tex]

[tex]r^3 = \frac{249}{3.142}[/tex]

[tex]r^3 = 79.25[/tex]

Take cube roots

[tex]r = \sqrt[3]{79.25}[/tex]

[tex]r = 4.3[/tex]

Diameter (D) is calculated as:

[tex]D = 2r[/tex]

[tex]D = 2 * 4.3[/tex]

A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle? 203 ft² 143 ft² 107 ft² 72 ft²

Answers

Answer:

203 ft²

Step-by-step explanation:

We need to use multiplication for the answer of this.

29 × 7 = 203

so that means that the answer in feet is 203 ft²

good luck hope this helped

-cheesetoasty

Find the volume of the cylinder. Use 3.14 for T.

height of 3 radius of 3

Answers

Answer:

84.82

Step-by-step explanation:

π·32·3≈84.823

Answer:

The volume of a cylinder with a height of 3 and a radius of 3 is 84.823 or you could say 84.8.

Step-by-step explanation:

An airplane's altitude changed -378 feet over 77 minutes. What was the mean change of altitude in feet per minute?

Answers

Answer:

-4.91 feet

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = Total change in altitude / total time

378 / 77 = 4.91

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?



x7 + 5x6 – 6x4 – 30x3 + 9x + 45


x – 5


x + 5


x7 + 5x6 + 6x4 + 30x3 + 9x + 45

Answers

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

[tex]f(x)=x^4+5x^3-3x-15[/tex]

[tex]q(x) = (x^3-3)[/tex]

We need to find the polynomial. We know that, Euclid division lemma states that

[tex]f(x)=q(x)\times g(x)+r(x)[/tex]

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]

So, the polynomial is (x+5).

 

Answer: its C

Step-by-step explanation: i just took the test

I AM GIVING BRAINLIEST TO WHOEVER ANSWERS, IF IT SAYS IT'S ALREADY ANSWERED, IT'S A LINK. PLEASE HELP ME :D

Answers

I’m tired of these people and their fake a** link

Plz help ASAP !!!!!!!! Plzz

Answers

Answer:

option a is the answer to the question

please answer this i will mark brainliest

Answers

Answer:

The median is 2

Step-by-step explanation:

Arrange your numbers in numerical order.

0011112233445

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

PLEASE MARK ME BRAINLIEST

Type a digit that makes this sentence true!

Answers

Answer:

1

best answer ever be amazing

If today is Wednesday what is it like hood tomorrow will be Saturday?​

Answers

Answer:

zero

Step-by-step explanation:

If today is Wednesday, the probability of tomorrow being Saturday is zero.

Shania is making lasagna. The recipe she uses calls for 2 1/3 cups of spaghetti sauce. If she doubles the recipe, how much spaghetti sauce will she need?

Answers

Answer:

4 2/3 cups

Step-by-step explanation:

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