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Phantasy [73]
3 years ago
9

p(x)=(1)/(x+1) and q(x)=(1)/(x-1) perform the operation that results in another rational expression p(x)/q(x)

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

9514 1404 393

Answer:

  p(x)/q(x) = (x -1)/(x +1)

Step-by-step explanation:

  p(x)\div q(x)=\dfrac{1}{x+1}\div\dfrac{1}{x-1}=\dfrac{1}{x+1}\times\dfrac{x-1}{1}\\\\ \boxed{\dfrac{p(x)}{q(x)}=\dfrac{x-1}{x+1}}

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Write the equation of a line that goes through point (0,1) and has a slope of 0
8090 [49]

Answer:

1 = y

Step-by-step explanation:

The y-intercept is [0, 1], so you draw a horizontal line through the line y = 1., which is considered a zero <em>slope</em><em> </em>[<em>rate</em><em> </em><em>of</em><em> </em><em>change</em>].

I am joyous to assist you anytime.

5 0
3 years ago
What's the factor of 30 and the sum of 11
kari74 [83]

Answer: 6 and 5

Step-by-step explanation:

Explained already by another user

4 0
3 years ago
Read 2 more answers
3(Ꮾ - f) -4 = 3f - 4
raketka [301]

3(6-f)-4=3f-4

First is expand

18-3f-4=3f-4

Combine like terms

14-3f=3f-4

18-3f=3f

18=6f

f=3

8 0
3 years ago
Read 2 more answers
Solve the equation for the variable numerically using a
tangare [24]

Answer:

x= 12

Step-by-step explanation

3x+8=44

subtract 8 from both sides:  3x+8= 44

                                                     -8    -8

3x=36

then divide by 3 on both sides

3x=36

3    3

which leaves : x=12

my explaining is horrible but i hope this helps

8 0
3 years ago
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