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Rasek [7]
3 years ago
10

What is the value of

Mathematics
1 answer:
deff fn [24]3 years ago
7 0

the answer is 2. see attached for step-by-step instructions. hope that helps!

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ALGEBRA QUESTION PLS HELPS
cluponka [151]

The value of x is –7.

Solution:

Given expression:

$\left(\frac{1}{x+3}+\frac{6}{x^{2}+4 x+3}\right) \cdot \frac{x+3}{x+1}

Let us factor x^2+4x+3.

x^2+4x+3=(x+1)(x+3)

Substitute this in the fraction.

$\left(\frac{1}{x+3}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

To make the denominator same, multiply and divide the first term by (x +1).

$\left(\frac{(x+1)}{(x+1)(x+3)}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

Denominators are same, you can add the fractions.

$\left(\frac{x+1+6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

$\frac{x+7}{(x+1)(x+3)} \cdot \frac{x+3}{x+1}

Cancel the common term in the numerator and denominator.

$\frac{x+7}{x+1} \cdot \frac{1}{x+1}

Multiply the fractions.

$\frac{x+7}{(x+1)^2}

$\frac{x+7}{x^2+2x+1}

The expression is simplified to one rational expression.

Suppose the expression is equal to 0.

$\frac{x+7}{x^2+2x+1}=0

Do cross multiplication.

${x+7}=0\times (}{x^2+2x+1})

Any number or variable multiplied by 0 gives 0.

${x+7}=0

Subtract 7 from both sides of the equation.

${x+7-7}=0-7

x = –7

The value of x is –7.

7 0
3 years ago
Juan pulled a red card from the deck of regular playing cards. This probability is 2652 or 12 . He puts the card back into the d
kenny6666 [7]

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

6 0
3 years ago
Read 2 more answers
What is EG? Round to the nearest tenth if necessary.
slava [35]

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

7 0
3 years ago
What type of parallelogram has
zlopas [31]

Answer:

Rhombus

Step-by-step explanation:

  • Parallelogram is a quadrilateral .
  • It has both 2pairs parallel and congruent.
  • Opposite sides are same

6 0
2 years ago
Read 2 more answers
An airplane flies 3800 km in 4 hours 45 minutes. What is its average speed in kilometers per hour?
8_murik_8 [283]

Average speed = (distance covered in some time)  /  (time to cover the distance)

4 hours 45 minutes = 4-3/4 hours = 4.75 hours

Average speed  =  (3,800 km) / (4.75 hours)  =  800 km/hr
3 0
3 years ago
Read 2 more answers
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