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Simora [160]
3 years ago
12

5÷x-4 - 2÷x+2 = 4÷x-4

Mathematics
1 answer:
Alborosie3 years ago
8 0
I'd suggest you begin by subtracting 4 / (x-4) from both sides.  Doing that would leave you with    1 / (x-4)   -     2 / (x+2) =  0.

LCD is (x-4)(x+2).  Mult. all three terms by (x-4)(x+2).  The resulting equation is 

x+2 - 2(x-4) = 0.     Then x+2 = 2x - 8  =>  x = 10

Subst. 10 for x in the original equation to verify that 10 is indeed a solution.


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Answer:

0.92

Step-by-step explanation:

7 0
3 years ago
If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
S_A_V [24]

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

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I hope this helped and if it did, please mark as Brainliest.

7 0
2 years ago
An urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles d
Umnica [9.8K]

Answer:

We  can reject the hypothesis at the 0.05 significance level.

 

Step-by-step explanation:

given that an urn contains  a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.

H0: All colours are equally likely

Ha: atleast two colours are not equally likely

(Two tailed chi square test at 5% significance level)

color                  Red           Orange      Yellow      Green         total

Observed  O         2                     5                  4           1              12    

Expected   E         3                     3                   3          3              12

(O-E)^2/E             0.3333            5.3333        0.3333  5.3333     11.3333

chi square = 11.3333

df =3

p value = 0.010055

Since p < 0.05 we reject H0

We  can reject the hypothesis at the 0.05 significance level.

 

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