Does this graph represent a function?

Use the information below to complete the problem: p(x) = (1)/(x + 1)

bija089 [108]

Given:

The functions are:

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

To find:

The rational expression for $p(x)-q(x)$ .

Solution:

We have,

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

Now,

$p(x)-q(x)=\dfrac{1}{x+1}-\dfrac{1}{x-1}$

$p(x)-q(x)=\dfrac{(x-1)-(x+1)}{(x+1)(x-1)}$

$p(x)-q(x)=\dfrac{x-1-x-1}{x^2-1^2}$ $[\because a^2-b^2=(a-b)(a+b)]$

$p(x)-q(x)=\dfrac{-2}{x^2-1}$

Therefore, the required rational expression for $p(x)-q(x)$ is $\dfrac{-2}{x^2-1}$ .

8 0

2 years ago

Answer right then you get brainliest

tiny-mole [99]

It's simple. The base of the rectangle is equal to the base of the big triangle. The height of the rettangle is equal to the base of the small triangle.

First you can calculate the area of the rectangle.

Ar = b*h = 5*8 = 40 in^2

Then you calculate the area of the two triangles

Small triangle area = (b*h)/2 = (6*5)/2 = 30/2 = 15 in^2

Big triangle area = (b*h)/2 = (8*7)/2 = 56/2 = 28 in^2

Sum the area of all polygons.

40+15+28 = 83 in^2

Answer C

7 0

3 years ago

a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft a

IrinaVladis [17]

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

Total width - boat distance 1 - boat distance 2 = Distance after 1 minute
200 - 40 - 30 = X
130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in brainly.com/question/25808345

6 0

2 years ago

10+4-3/2-9/2 please show work

nexus9112 [7]

Here is the answer
10+1/7/2
remember if a fraction has 3 levels figure out two of them first: 10+1/7÷2
10+1/3.5
multiply both sides of the fraction by 2 to make the denominator a whole number
10+2/7
answer 10 2/7

5 0

3 years ago

Read 2 more answers

^DEF and ^RSQ are shown in the diagram below

lakkis [162]

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

6 0

3 years ago

Does this graph represent a function?​

Does this graph represent a function?