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loris [4]
1 year ago
4

Match each system of linear equations with the correct number of solutions.

Mathematics
1 answer:
Zepler [3.9K]1 year ago
8 0
This doesn’t make any sense... I’m pretty sure ur missing some x’s.
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PLEASE HELPPPP quickly
Igoryamba

Answer:

a = 25

b= 1

25(1 +  \sqrt{2} )

-Expand the brackets first

-than rationalise , to remove the square root from the denominator.

-lastly, simplify.

Hope I was able to help:)))

8 0
2 years ago
Read 2 more answers
8 story building each story was 15 4/5 in height how tall was the building
hjlf
125 2/5 
i did the math


hope this is usefull
6 0
2 years ago
Solve the following work problem.
evablogger [386]
Determine the rates for all 3.

First pipe has a rate of 1/36 full per minute
Second pipe has a rate of 1/9 full per minute
Third pipe has a rate of 1/12 full per minute

So if all 3 were operating together, they would have a rate of:

1/36 + 1/9 + 1/12 = 1/36 + 4/36 + 3/36 = 8/36 = 2/9

So the rate for all 3 is: 2/9 full per minute.

So to fill up a tank:

full tank * 1min ÷ (2/9 full) = 4.5 minutes

So it would take 4 and half minutes.
6 0
2 years ago
Read 2 more answers
Please help with this problem
guajiro [1.7K]

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

5 0
2 years ago
Using synthetic division, what is the factored form of this polynomial?
n200080 [17]

Answer:

option D

x^4 + 6x^3 + 33x^2 + 150x + 200 = (x+2)(x+4)(x^2 +25)

Step-by-step explanation:

Since no factors are mentioned at all. We use trial and error method to find a root of  the polynomial.

Step 1 :

For that we will consider the factors of 200 :

± 1 , ±2, ± 4, ±5, ±8, ±10, ±20, ±25, ±40, ±50, ±100, ±200

Let \ f(x) = x^4 + 6x^3 + 33x^2 + 150x +200\\\\

f ( -1 ) = (-1)⁴ + 6 (-1)³ + 33(-1)² + 150(-1) + 200

      = 1 - 6 + 33 - 150 + 200

      = 78 ≠ 0

So - 1 is not a root.

f ( - 2) = ( -2)⁴ + 6( - 2 )³ + 33 (- 2) ² + 150 (- 2) + 200

        = 16 - 48 + 132 - 300 + 200

       = 0

Therefore - 2 is a root of f( x ) and ( x + 2) is a factor of f( x) .

Step 2

Now we will use synthetic division to find other factors.

 

    -2 | 1          6          33        150        200

        | 0        -2          -8         -50        -200

        |_______________________________

         1          4          25          100          0

f(x) = x^4 + 6x^3 + 33x^2 + 150x + 200 \\\\f(x) = ( x^3 + 4x^2 + 25x + 100)(x + 2)

We will use trial and error method again to further factorize the equation

g(x) = x³ + 4x² + 25x +100.

Proceed as in step 1

Consider the factors of 100 to  find the root.

Factors of 100 :±1, ±2, ±4 , ±5 , ±8, ±10 , ± 20, ±25, ± 50, ±100

g( - 4) = ( -4)³ + 4 ( -4)² + 25(-4) + 100

        = - 64 + 64 - 100 + 100

        = 0

Therefore - 4 is a root of  g(x) , that means (x + 4) is a factor.

Now we will use synthetic division :

 

     - 4 | 1         4        25        100

          | 0       -4         0        -100

          |_____________________

            1         0        25          0

Therefore g(x) = ( x² + 0x + 25)(x + 4)

                      = ( x² + 25 )( x + 4)

Therefore the factorized form of

x⁴ + 6x³  + 33x² + 150x + 200 = (x + 2)(x³ + 4x² + 25x + 100)

                                              = ( x + 2 )( x + 4 )( x² + 25)

                                             

8 0
2 years ago
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