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Greeley [361]
3 years ago
11

Find the sum of the reciprocals of two consecutive even integers if the larger integer is x. please answer;-;​

Mathematics
1 answer:
Harman [31]3 years ago
4 0

Step-by-step explanation:

Let the larger integer be x

Hence, the smaller integer = x-2

Hence,

Reciprocal of the x= 1/x

Reciprocal of x-2= 1/ x-2

Hence. their sum=

\frac{1}{x}  +  \frac{1}{x  - 2}  \\  =  \frac{x - 2 + x}{x(x - 2)} \\  =  \frac{2x - 2}{ {x}^{2}  - 2x}

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6 0
3 years ago
A book has 12 chapters. The mean length of the chapters is 40 pages. How many total pages are there in the 12 chapters?
amm1812

Answer:

480

Step-by-step explanation:

Important Information:

A Book Has 12 Chapters.

The Mean length of the chapters is 40 pages.

Question to Answer:

How many total pages are there in the 12 chapters?

Explanation/Solution:

Let's assume that the total number of pages in the book is "x" pages.  

To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.  

\frac{x}{12}=40

Multiply both sides by 12...

x = 480

Hence, The total number of pages in the 12 chapters is 480.

7 0
2 years ago
4.11.1 Practice: Assignment. Please help i will mark brainliest! ​
amm1812

Step-by-step explanation:

x2 + 7x + 12

x2 + 4x + 3x + 12

x(x + 4) + 3( x + 4)

(x + 3) and (x + 4) are the factors

4x2 + 6x + 2

4x2 + 4x + 2x + 2

4x (x + 1) + 2(x + 1)

(x + 1) and (4x + 2) are the factors

5 0
3 years ago
Read 2 more answers
Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y =
vova2212 [387]
\begin{cases}u=x-y\\v=x+y\end{cases}

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial u}{\partial y}\\\\\dfrac{\partial v}{\partial x}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&-1\\1&1\end{bmatrix}
\implies\det\mathbf J=2

The area of the region is then given by

\displaystyle\iint_R\mathrm dA=\int_{u=0}^{u=7}\int_{v=0}^{v=6}2\,\mathrm dv\,\mathrm du=84
6 0
3 years ago
Solve for x (Angle relationship in Circles)
makkiz [27]

Step-by-step explanation:

180 \degree - 102 \degree =  \frac{1}{2} (x + 95\degree) \\  \\  \therefore \: 72 \degree = \frac{1}{2} (x + 95\degree) \\  \\ \therefore \: 72 \degree  \times 2=  (x + 95\degree) \\  \\ \therefore \: 144 \degree =  x + 95\degree \\  \\ \therefore \:x = 144 \degree - 95\degree  \\  \\  \huge \red{ \boxed{\therefore \:x = 49\degree}}

4 0
3 years ago
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