The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
What is the perimeter of the rectangle? Describe how you found your answer.

Answers

Answer 1

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)


Related Questions

Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?​

Answers

Answer:

[tex]\frac{31}{(5x+2)^2}[/tex]

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]

Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8

Answers

Answer:

i think its 20

Step-by-step explanation:

pls help me solve pls show how you got the answer

Answers

Answer:

A

Step-by-step explanation:

270/9=30

Which expression is equivalent to 24x2 – 22x + 5? ​

Answers

Answer:

C: (12x - 5) ( 2x - 1)

Step-by-step explanation:

12 x ( 2x- 1 ) -5  (2x - 1 )

= (12x - 5 ) ( 2x -1)

Hope it helps !

Answer:

12x-5 2x-1

Step-by-step explanation:

This is the correct answer. Answer C

The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box

Answers

Answer:

a = 8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify variables

V = 512 cm³

Step 2: Find a

Substitute in variables [Volume of a Cube Formula]:                                    512 cm³ = a³[Equality Property] Cube root both sides:                                                      8 cm = aRewrite:                                                                                                             a = 8 cm

find the domain of the graphed function

Answers

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values that x can take

X goes from 1 to 5

1≤x≤5

Answer:

c.  2 ≤ x ≤ 5

Step-by-step explanation:

The x value is equal to or greater than 2. The x value is equal to or less than 5.

Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular

Answers

B neither perpendicular nor parallel

Answer:

B

Step-by-step explanation:

B. neither perpendicular nor parallel

because, the line are not crossing nor are they aside from each other.

Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?

Answers

Answer:

[tex]195[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.

Therefore, we have:

[tex]5a+a=234,\\6a=234,\\a=39[/tex]

Substitute [tex]a=39[/tex] into [tex]5a[/tex]:

[tex]5(39)=\boxed{195}[/tex]

Drag an answer to each box to complete this paragraph proof.
Given:
Prove:
M

Answers

Complete question is;

Drag an answer to each box to complete this paragraph proof.

Given:

<ABC and <CBD are complementary angles and M<ABC = 35°

Prove:

M<CBD = 55°

It's given that <ABC and <CBD are ________.

So, m<ABC + m<CBD = 90° using the _______.

It is also given that m<ABC = 35°

Using substitution property of equality, you have ___ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = ___

Attached is an image of both angles.

Options to drag are;

Complementary angles, supplementary angles, definition of supplementary angles, definition of complementary angles, 35°, 55°, 90°

Answer:

It's given that <ABC and <CBD are __complementary angles___.

So, m<ABC + m<CBD = 90° using the __definition of complementary angles___.

It is also given that m<ABC = 35°

Using substitution property of equality, you have _35°_ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = _55°_

Step-by-step explanation:

Now, from angle properties, we know that the Sum of 2 Complementary angles is equal to 90°.

Thus, <ABC and <CBD are complementary angles.

Then;

m<ABC + m<CBD = 90° (using the definition of complementary angles as seen above).

It is also given that m<ABC = 35°

Now, Using substitution property of equality, we will have;

35°+ m<CBD = 90°

Subtract 35° from both sides to get;

35 - 35 + m<CBD = 90 -35

m<CBD = 55°

What is the slope that passes through the points (-9.-8) (-15,-16)

Answers

Answer:

Slope/gradient is 4/3

Step-by-step explanation:

Have a nice day

Answer: 4/3
Y intercept is 0

A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?

Answers

Answer:

The customer should pay RS 506 for a novel book costing RS 450.

Step-by-step explanation:

We are given that

Selling price of calculator, S.P=RS 756

Cost of calculator, C.P=RS 700

We have to find S.P of novel book when the cost of novel book RS 450.

Profit=S.P-C.P

Profit=756-700

Profit=RS 56

Profit of each item is equal.

Therefore, profit for novel book=RS 56

C.P of novel book=RS 450

S.P=C.P+ Profit

Using the formula

S.P=450+56

S.P=RS 506

Hence, the customer should pay RS 506 for a novel book costing RS 450.

Add the following numbers. (-4) + (-9) =

Answers

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

Answer:

-13

Step-by-step explanation:

Increase 14187.13 by 14.5

Answers

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

The plastic straws were placed under the wooden block to

Answers

Answer:

What? Your not even done.

Step-by-step explanation:

7√5÷5 please explain how u got the answer​

Answers

Answer:

7

Step-by-step explanation:

7√5÷5

5/5= 1 then,

√1=1

hence 7(1)=7

Answer the question in the picture

Answers

Answer:

(10^3)^2

Hope this answer is right!!

Step-by-step explanation:

(10^3)^2

(10)^3*2

(10)^5

Question is in photo.
Thanks

Answers

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

14.21267

Step-by-step explanation:

42, 43, 44, 44, 49, 40, 39
What is the mean?

Answers

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

If g(x) = x^2 - 3, find the value of:

a) g(5)
b) g(-2)
c) g(a+1)

Answers

Answer:

this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd

Answer

g(5)=22

g(-2)=1

g(a+1)=(a+1)^2-3

g(a+1)= (a+1)(a+1)-3

g(a+1)=a^2+2a-2

Step-by-step explanation:

if you wanted to solve for a you would need to use the quadratic formula and solve for a.

The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent.

Answers

Answer:

lot of words for a simple question about which rectangle is the same!

E and F are similar but not congruent.

Step-by-step explanation:

Uhh.. Hello can you please answer this? I am actually having hard time answer this activity.. Please!! Im not from Us im from Philippines and no one answeering my question correctly they're all useless!! HELP ME!! T^T​

Answers

Mean=all added together divide by total amount

median order them all and the middle number

mode the most common number

hope this helps you find out the answer

Use the number line to find the measure of SV

Answers

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

A video game has a wheel that turns one degree every time the figure pops a ballon then figure has popped 40 balloons how many degrees has the wheel turned?

Answers

The wheel turned 600 degrees

Math help please show work thanks

Answers

Problem 3

If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).

The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.

The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi

That's the exact area in terms of pi

If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer

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

Problem 4

The square base has area of 38*38 = 1444 square cm

The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.

The total surface area is: 1444+4180 = 5624 square cm.

When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624

Why would there be a difference between percentages with the Empirical Rule and the actual percentages?

Answers

Answer:

Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex]   is not the easiest equation to solve, and that

the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational

using the "rule-of-thumb" "empirical rule" is typically "close enough"

given that the whole probability analysis by definition has some uncertainty in it

Step-by-step explanation:

The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.

What is the empirical rule?

The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:

The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).

In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.

In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.

Read more on normal distribution here: https://brainly.com/question/4637344

#SPJ6

Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base

Answers

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

It takes the staff 7.2 hours to clean 27 rooms in hotel many hours would it take them to clean 15 room? srep by step​

Answers

Answer:

4

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7

Answers

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

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