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Tju [1.3M]
2 years ago
14

Find the roots of each equation. 6v^2+24=0 PLEASE HELP I NEED THIS TO MOVE UP A GRADE

Mathematics
1 answer:
VLD [36.1K]2 years ago
8 0

Answer:

v=\pm 2i

Step-by-step explanation:

6v^2+24=0\\\\6v^2=-24\\\\v^2=-4\\\\v=\pm 2i

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Simplify (x + 2/ x^2 + 2x -3) / (x + 2/x^2 - x)
rjkz [21]

Answer:

The simplest form is x/(x + 3)

Step-by-step explanation:

* To simplify the rational Expression lets revise the factorization

  of the quadratic expression

*  To factor a quadratic in the form x² ± bx ± c:

- First look at the c term  

# If the c term is a positive number, and its factors are r and s they

  will have the same sign and their sum is b.

#  If the c term is a negative number, then either r or s will be negative

   but not both and their difference is b.

- Second look at the b term.  

# If the c term is positive and the b term is positive, then both r and

  s are positive.  

Ex: x² + 5x + 6 = (x + 3)(x + 2)  

# If the c term is positive and the b term is negative, then both r and s

  are negative.  

Ex:  x² - 5x + 6 = (x -3)(x - 2)

# If the c term is negative and the b term is positive, then the factor

  that is positive will have the greater absolute value. That is, if

  |r| > |s|, then r is positive and s is negative.  

Ex: x² + 5x - 6 = (x + 6)(x - 1)

# If the c term is negative and the b term is negative, then the factor

  that is negative will have the greater absolute value. That is, if

  |r| > |s|, then r is negative and s is positive.

Ex: x² - 5x - 6 = (x - 6)(x + 1)

* Now lets solve the problem

- We have two fractions over each other

- Lets simplify the numerator

∵ The numerator is \frac{x+2}{x^{2}+2x-3}

- Factorize its denominator

∵  The denominator = x² + 2x - 3

- The last term is negative then the two brackets have different signs

∵ 3 = 3 × 1

∵ 3 - 1 = 2

∵ The middle term is +ve

∴ -3 = 3 × -1 ⇒ the greatest is +ve

∴ x² + 2x - 3 = (x + 3)(x - 1)

∴ The numerator = \frac{(x+2)}{(x+3)(x-2)}

- Lets simplify the denominator

∵ The denominator is \frac{x+2}{x^{2}-x}

- Factorize its denominator

∵  The denominator = x² - 2x

- Take x as a common factor and divide each term by x

∵ x² ÷ x = x

∵ -x ÷ x = -1

∴ x² - 2x = x(x - 1)

∴ The denominator = \frac{(x+2)}{x(x-1)}

* Now lets write the fraction as a division

∴ The fraction = \frac{x+2}{(x+3)(x-1)} ÷ \frac{x+2}{x(x-1)}

- Change the sign of division and reverse the fraction after it

∴ The fraction = \frac{(x+2)}{(x+3)(x-1)}*\frac{x(x-1)}{(x+2)}

* Now we can cancel the bracket (x + 2) up with same bracket down

 and cancel bracket (x - 1) up with same bracket down

∴ The simplest form = \frac{x}{x+3}

5 0
3 years ago
Read 2 more answers
2. A pet food company wants to know the number of pets owned by adults ages 21 to 70. The frequency table shows the data from a
ludmilkaskok [199]

Answer:

3.6669

Step-by-step explanation:

Given is a frequency distribution and we are expected to find the mean of the distribution.

Let X be the no of total pets owned and f be the number of adults owning those pets.

                                                          Total

x   1    2    3           4          5                   6                 7    

F 248 567 1402 728         419                 456                203     4023

x*f 248 1134 4206 2912 2095        2736         1421     14752

       

Mean        3.666915237

Thus we find the total of all frequencies and then sum of product of x*f.

Mean = sum of f*x/sum of x

Here mean= 3.6669

7 0
3 years ago
Answer please thank you . Make her you like !
mariarad [96]

Answer:

The answer would be -4.36.

8 0
4 years ago
Read 2 more answers
What is the area of the figure?<br> (will give 5 stars)
Katen [24]

Answer:

a

Step-by-step explanation:

simple mat h

8 0
3 years ago
A scarf needs ¾ of a yard of fabric. How many scarves can be made from 9 yards of fabric?
marissa [1.9K]

Answer:

exactly 12 !

Step-by-step explanation:

3/4 is the length need, times 12, which is the end result of scarves, equals 9, the yards of fabric !!

3/4 x 12 = 9

i hope this helped!!!!

3 0
3 years ago
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