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maria [59]
2 years ago
6

MARKING AS BRAINLIEST! LAST ATTEMPT! ) show ur work

Mathematics
1 answer:
Ivenika [448]2 years ago
5 0

- 3 \sqrt{180 {x}^{5}y }  =  - 3 \sqrt{36 {x}^{4} \times 5xy }  =  - 18  {x}^{2} \sqrt{5xy}

5 \sqrt{108xy {z}^{2} }  = 5 \sqrt{36 {z}^{2} \times 3xy }  = 30z \sqrt{3xy}

3x \sqrt{x {y}^{10} {z}^{7}  }  = 3x \sqrt{ {y}^{10} {z}^{6}  \times xz }  = 3x {y}^{5}  {z}^{3}  \sqrt{xz}

\sqrt{ {x}^{3} }  =  \sqrt{ {x}^{2} \times x }  = x \sqrt{x}

\sqrt{x {y}^{3}z }  = y \sqrt{xyz}

\sqrt{18 {x}^{2}y }  =  \sqrt{9 {x}^{2} \times 2y }  = 3x \sqrt{2y}

\sqrt{32 {x}^{4}  {y}^{2} }  =  \sqrt{16 ({ {x}^{2} })^{2} {y}^{2}  \times 2 }  =  4 {x}^{2} y \sqrt{2}

2 \sqrt{16 {x}^{7} {y}^{3} {z}^{4}   }  = 2 \sqrt{ {4}^{2} {x}^{6} {y}^{2} ( { {z}^{2} )}^{2}  \times xy  }    = 8 {x}^{3} y {z}^{2}  \sqrt{xy}

{x}^{2}  \sqrt{ {x}^{3} {y}^{2}  }  =  {x}^{2}  \sqrt{ {x}^{2} {y}^{2}  \times x }  =  {x}^{3} y \sqrt{x}

Answer: ......

Ok done. Thank to me :>

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DerKrebs [107]
Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

--------------------------------------------

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

--------------------------------------

DIRECT PROPORTION EXPLAINED:

Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.

INVERSE PROPORTION EXPLAINED:

If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.

T=time to set up a wall
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Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.

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We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
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... f(x) = (((10x -4)x -8)x +3)x -6

The graphs offered can be distinguished by their values of f(1) and f(2), so our table can be a short one.

... f(1) = (((10·1 -4)1 -8)1 +3)1 -6 = -5 . . . . . . . eliminates graph d

... f(2) = (((10·2 -4)2 -8)2 +3)2 -6 = 96 . . . . eliminates graphs a and c

The appropriate choice is b.

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