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statuscvo [17]
3 years ago
12

What is the simplified form of (1/x)-(2/x^2+x)

Mathematics
2 answers:
julsineya [31]3 years ago
8 0
The answer would be C)3-x/x(x-1)
Citrus2011 [14]3 years ago
8 0
My answer is c.so c is the correct 
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Can you help me with my math questions
GrogVix [38]

p^2+2(7)p+7^2=(p+7)^2


Justification:

Given:  p^2+14p+49


Split the middle term;

=p^2+7p+7p+49


Factor:

=p(p+7)+7(p+7)


=(p+7)(p+7)


=(p+7)^2


QUESTION 3a

The given expression for the area of the rectangle is  36x^2-12x+1.


This is equal to the indicated area which is 289\;in^2


This implies that


36x^2-12x+1=289


\Rightarrow (6x-1)^2=289


\Rightarrow (6x-1)(6x-1)=289


\Rightarrow l=(6x-1),w=(6x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow (6x-1)=\pm \sqrt{289}


\Rightarrow (6x-1)=\pm 17


\Rightarrow 6x=1\pm 17


\Rightarrow 6x=18 \:or\:6x=-16


\Rightarrow x=3 \:or\:x=-\frac{2}{3}

We discard the negative value.

The side length of this rectangle is


\Rightarrow l=(6(3)-1)=17,w=6(3)-1=17


QUESTION 3b

The given expression for the area of the rectangle is  25x^2-50x+25.


This is equal to the indicated area which is 1225\;in^2


This implies that


25x^2-50x+25=1225


25(x^2-2x+1)=1225


(5(x-1))^2=35^2


5(x-1)5(x-1)=49


\Rightarrow l=5(x-1),w=5(x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow 5(x-1)=\pm \sqrt{1225}


\Rightarrow 5(x-1)=\pm 35


\Rightarrow x=1\pm 7


\Rightarrow x=8 \:or\:x=-6

We discard the negative value.

The side length of this rectangle is


\Rightarrow l=5(8-1)=35,w=5(8-1)=35



QUESTION 3c

The given expression for the area of the rectangle is  49x^2-56x+16.


This is equal to the indicated area which is 289\;in^2


This implies that


49x^2-56x+16=289




(7x-4)^2=289


(7x-4)(7x-4)=289



\Rightarrow l=(7x-4),w=(7x-4)


Applying the laws of indices gives;


(7x-4)^2=17^2


This implies that;

7x-4=17


7x=21


x=3in.


The side length of this rectangle is


\Rightarrow l=7(3)-4=17\:in.,w=7(3)-4=17\:in.


Dont forget that the square is also a rectangle.





5 0
3 years ago
Read 2 more answers
Find the ordered pairs that solve the equation y=12
Rufina [12.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y = 0.5x

when x = 12

y = 0.5 · (12)

y = 6

when x = 0

y = 0.5(0)

y = 0

when x = 8

y = 0.5(8)

y = 4

when x = 12

y = 0.5(12)

y = 6

Thus, the table is completed such as:

x             y

0             0

8             4

12           6

Therefore, the ordered pairs that complete the equation y = 0.5 x are:

  • (0, 0)
  • (8, 4)
  • (12, 6)

The graph of the equation is attached below.

6 0
3 years ago
What is the slope of this table<br> х<br> у<br> 0<br> 1<br> 1<br> 4<br> 2<br> 4<br> 7<br> 13<br> 16
Jobisdone [24]

Answer:

THE ANSWER IS 222

Step-by-step explanation:

5 0
3 years ago
Ethan goes to a store an buys an item that costs x dollars. He has a coupon for 5% off, and then a 9% tax is added to the discou
choli [55]
Well Ethan’s pretty cool
8 0
4 years ago
Find the common difference of the arithmetic sequence –9, -7, -5, ...
MrMuchimi
It’s add positive 2 every time I believe

if I’m wrong I’m so sorry and please tell me I’m wrong for other that have to use this.
If I’m right ya!! XD
Hope this helps you!
-Pam Pam
3 0
3 years ago
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