The length of a rectangle is 3n+ 2 and its width is n-1. The perimeter of the rectangle is twice the sum of its length and its width. write an expression that represents the perimeter of the rectangle. Find the perimeter of the rectangle when n= 4 inches

Answers

Answer 1

Answer: Length, L = 3n + 2
Width, W = n - 1

Perimeter, P = 2*(L + W)

   = 2*( 3n + 2 + n - 1)

   = 2*(3n + n + 2 - 1)

   = 2*(4n + 1)

   = 2*4n + 2*1

   = 8n + 2

Perimeter = (8n + 2)

Perimeter, when n = 4, 8n + 2 = 8*4 + 2 = 32 +2 = 34

Perimeter = 34 inches.

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the domain of the function f(x) = 3x3 is {2, 5}. what is the function’s range? the range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer:

{24,375}

Step-by-step explanation:

The range would be 24,250 hope this helps

What is the seventh term of the sequence whose nth term is (n + 1)(n − 2)?A.) 28

B.)35

C.) 36

D.) 40

Answers

To do this, you simply substitute 7 into the equation.

[(7) + 1][(7) − 2]
BODMAS tell us that we should do the sum in the brackets before anything else.
(8)(5)
8 X 5 = 40

The seventh term is 40. The answer is D)

Suki split five dog treats equally among her six dogs. Which fraction represents this division.

Answers

5 divided by 6 or 5/6

Answer:

5/6

Step-by-step explanation:

5 dog splitting 6 treats.

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer:

The expression which represents profit is:

$5x-260$

Step-by-step explanation:

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

$R(x)=3x^2+4x-60$

and the cost, in dollars of producing the toy car is given by the polynomial expression:

$C(x)=3x^2-x=200$

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

$Profit=R(x)-C(x)\n\ni.e.\n\nP(x)=R(x)-C(x)\n\ni.e.\n\nP(x)=3x^2+4x-60-(3x^2-x+200)$

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

$P(x)=3x^2+4x-60-3x^2+x-200\n\ni.e.\n\nP(x)=3x^2-3x^2+4x+x-6-200$

( Since, on combining the like terms)

i.e.

$P(x)=5x-260$

Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C

What is the sum of √-2 and √-18a. 4 √2
b. 4 √2i
c. 5 √2
d. 5 √2i

Answers

First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i√2
√-18 = √(-1)(2)(9) = 3i√2

Simplifying by adding the two terms together:
i√2 + 3i√2 = 4i√2

Therefore the answer is B.

Answer:

B. 4 √2i

Step-by-step explanation:

did the test

The volume of a rectangular box is 1,701 cubic inches. The box has a height of 10.5 inches and a length of 24 inches. What is the width of the box?6.75 inches

70.875 inches

162 inches

252 inches

Answers

6.75 inches. 10.5 X 24 gives you the area of the face, then to find the width you do the total area divided by this number. 1701/252=6.75

The volume of a cuboid is:
width x depth x height

Hence we can formulate this equation for the volume:
10.5 x 24 x width = 1,701
252 x width = 1,701
Width = 6.75 (divide by 252)

Check for the equation:
10.5 x 6.75 x 24 = 1,701.

Hope I helped!

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