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kow [346]
3 years ago
14

Please help!!!!

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

Answer:

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the binomial expression

          ((6-\sqrt{12} )(6+\sqrt{12} )

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

<u><em>Step(ii):-  </em></u>

Given that the binomial expression

          ((3+\sqrt{8} )(3-\sqrt{8} )

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

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4x + 3(4x + 7) = 4(7x + 3)​
Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

5 0
3 years ago
Isla pick tomatoes from her vegetable patch and then sells them in boxes she changes 14p for each tomatoes and 25p for each boxe
amid [387]

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Answer:

  • 18 tomatoes: £3.02
  • £4.39 ⇒ 26 tomatoes

Step-by-step explanation:

a) at 12 tomatoes per box, 18 tomatoes will require 2 boxes. Then Isla's price will be ...

  2(25p) +18(14p) = 50p +252p = £3.02

18 tomatoes in 2 boxes cost £3.02.

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b) The 3 boxes cost 3(25p) = £0.75, so the tomatoes cost ...

  £4.39 -0.75 = £3.64

at 14p each, the number of tomatoes is £3.64/£0.14 = 26

There are 26 tomatoes in 3 boxes costing £4.39.

7 0
3 years ago
I need help plz help me
Tresset [83]

Answer:

26

Step-by-step explanation:

Because DAC is a straight line we can equate that:

4x - 8 + 34 + 76 - x = 180

3x + 102 = 180

3x = 78

x = 26

5 0
4 years ago
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