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katrin2010 [14]
3 years ago
14

How do you slove this?

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0
1. a^2 + 7a + 10 = 0                               
    (a + 5)(a + 2) = 0
    a + 5 = 0....a = -5
    a + 2 = 0...a = -2
    solution : (-2,-5)

2. n^2 - 8n + 12 = 0
    (n - 2)(n - 6) = 0
     n - 2 = 0....n = 2
      n - 6 = 0...n = 6
     solution : (2,6)

3. y^2 - 49 = 0
     y^2 = 49
     y = sqrt 49
     y = (+-) 7
     y = 7
     y = -7
    solution : (-7,7)

4. x^2 + 5x - 6 = 0
    (x+ 6)(x - 1) = 0
     x + 6 = 0...x = -6
     x - 1 = 0...x = 1
   solution : (-1,1)

5. u^2 - 7u - 18 = 0
    (u - 9)(u + 2) = 0
    u - 9 = 0...u = 9
    u + 2 = 0....u = -2
    solution : (-2,9)

6. m^2 - 5m = 0
    m(m - 5) = 0
    m = 0
    m - 5 = 0...m = 5
   solution : (0,5)

7. 2t^2 + 5t - 3 = 0
    (2t - 1)(t + 3) = 0
    2t - 1 = 0...2t = 1...t = 1/2
    t + 3 = 0...t = -3
   solution : (1/2,-3)

8. 3w^2 -8w + 4 = 0
    (3w - 2)(w - 2) = 0
   3w - 2 = 0...3w = 2...w = 2/3
   w - 2 = 0....w = 2
   solution : (2/3,2)

9. 2x^2 -3x - 5 = 0
    (2x - 5)(x + 1) = 0
   2x - 5 = 0...2x = 5...x = 5/2
    x + 1 = 0....x = -1
   solution : (5/2,-1)

10. 5v^2 + 29v + 20 = 0
     (5v + 4)(v + 5) = 0
     5v + 4 = 0...5v = -4...v = - 4/5
     v + 5 = 0....v = -5
    solution : (-4/5,-5)

11. 6n^2 - 19n + 15 = 0
     (3n-5)(2n-3)=0
    3n-5 = 0...3n = 5...n = 5/3
    2n - 3 = 0....2n = 3...n = 3/2
    solution : (5/3,3/2)

12. 2k^2 + 7k = 0
      k(2k+7) = 0
      k = 0
      2k+7 = 0...2k = -7...k = -7/2
      solution : (0,-7/2)

13. 3b^2 + b - 10 = 0
      (3b-5)(b+2) = 0
      3b - 5 = 0....3b = 5..b = 5/3
      b + 2 = 0...b = -2
      solution :(5/3,-2)

14. 4y^2 -25 = 0
      4y^2 = 25
      y^2 = 25/4
      y = sqrt 25/4
      y = (+-) 25/4
      y = 2.5
      y = -2.5
   solution : (2.5,-2.5)
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PLZ HELP QUICK-------------->
sveticcg [70]
<h2>>>> Answer <<<</h2>

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

3 ( 1 )³ + 2 ( 1 )² - 1

3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

5 - 1

4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

2 - 3 + 2 - 1

4 - 4

0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

1 + 2 + 3 + 2

8

This implies ;

D ( x ) is not divisible by ( x - 1 )

<h2>Therefore ; </h2>

<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
6 0
4 years ago
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
Slav-nsk [51]

Answer:

Step-by-step explanation:5

8 0
3 years ago
If the area of the rectangle is 130 square inches then what is the rectangles height, h
fomenos

Answer:

130/l in where l is the length of the rectangle

Step-by-step explanation:

The formula for area of a rectangle is length by width where the width is the height of the rectangle

Given that area=130 in²

Lets assume the length of this rectangle is =l inches

Then ;

A=l*w

130 =l*w

130/l = w

130/l in = height

5 0
3 years ago
Some of the ingredients in Monica's cake recipe will have 2/3 cup of
Slav-nsk [51]

Answer:

(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10

7 0
3 years ago
2/3y = 4/5 solve the equation using inverse operations
Alisiya [41]

Answer:

y=6/5

Step-by-step explanation:

Hope this helps! Sorry if its wrong

6 0
3 years ago
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