All categories

3 years ago

Express the set x > − 1 x>-1 using interval notation

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

$x > - 1 \\ ( - 1. \infty )$

You might be interested in

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

8 0

3 years ago

Six students are working on math. Two-thirds of them are working on fractions. How many students are working on fractions?

dybincka [34]

(2/3)- students working on math
6-total students
(2/3) of 6 students+= (2/3)x6 = (12/3) = 4

3 0

2 years ago

Which unit rate corresponds to the proportional relationship shown in the graph?

Y_Kistochka [10]

To move from the point (0,0) to the point (6,9) we move up 9 units and right 6 units.

Slope = rise/run
Slope = change in y / change in x
Slope = 9 / 6
Slope = 3/2

6 0

2 years ago

A.y=-x+0.5<br> B.y=-x-0.5<br> C.y=x+0.5<br> D.y=x-0.5

omeli [17]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 mo

ddd [48]

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

7 0

2 years ago