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Anna35 [415]
2 years ago
8

Eight less than five times a number is greater than 6

Mathematics
2 answers:
-Dominant- [34]2 years ago
5 0

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

lyudmila [28]2 years ago
5 0
<h2>5x - 8 > 6</h2><h3>is how you write it.</h3><h3></h3><h3>But here is how you solve it:</h3><h3></h3><h3>1. Add 8 to both sides</h3><h3>5x - 8 + 8 > 6 + 8</h3><h3>it simplifies to</h3><h3>5x > 14</h3><h3 /><h3>2. Divide both sides by 5</h3><h3>5x ÷ 5 > 14 ÷ 5</h3><h3>it simplifies to</h3><h3>x > 2.8</h3><h3 /><h2>X > 2.8</h2><h3 />
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Find the critical points of the function f(x, y) = 8y2x − 8yx2 + 9xy. Determine whether they are local minima, local maxima, or
NARA [144]

Answer:

Saddle point: (0,0)

Local minimum: (\frac{3}{8}, -\frac{3}{8})

Local maxima: (0,-\frac{9}{8}), (\frac{9}{8},0)

Step-by-step explanation:

The function is:

f(x,y) = 8\cdot y^{2}\cdot x -8\cdot y\cdot x^{2} + 9\cdot x \cdot y

The partial derivatives of the function are included below:

\frac{\partial f}{\partial x} = 8\cdot y^{2}-16\cdot y\cdot x+9\cdot y

\frac{\partial f}{\partial x} = y \cdot (8\cdot y -16\cdot x + 9)

\frac{\partial f}{\partial y} = 16\cdot y \cdot x - 8 \cdot x^{2} + 9\cdot x

\frac{\partial f}{\partial y} = x \cdot (16\cdot y - 8\cdot x + 9)

Local minima, local maxima and saddle points are determined by equalizing  both partial derivatives to zero.

y \cdot (8\cdot y -16\cdot x + 9) = 0

x \cdot (16\cdot y - 8\cdot x + 9) = 0

It is quite evident that one point is (0,0). Another point is found by solving the following system of linear equations:

\left \{ {{-16\cdot x + 8\cdot y=-9} \atop {-8\cdot x + 16\cdot y=-9}} \right.

The solution of the system is (3/8, -3/8).

Let assume that y = 0, the nonlinear system is reduced to a sole expression:

x\cdot (-8\cdot x + 9) = 0

Another solution is (9/8,0).

Now, let consider that x = 0, the nonlinear system is now reduced to this:

y\cdot (8\cdot y+9) = 0

Another solution is (0, -9/8).

The next step is to determine whether point is a local maximum, a local minimum or a saddle point. The second derivative test:

H = \frac{\partial^{2} f}{\partial x^{2}} \cdot \frac{\partial^{2} f}{\partial y^{2}} - \frac{\partial^{2} f}{\partial x \partial y}

The second derivatives of the function are:

\frac{\partial^{2} f}{\partial x^{2}} = 0

\frac{\partial^{2} f}{\partial y^{2}} = 0

\frac{\partial^{2} f}{\partial x \partial y} = 16\cdot y -16\cdot x + 9

Then, the expression is simplified to this and each point is tested:

H = -16\cdot y +16\cdot x -9

S1: (0,0)

H = -9 (Saddle Point)

S2: (3/8,-3/8)

H = 3 (Local maximum or minimum)

S3: (9/8, 0)

H = 9 (Local maximum or minimum)

S4: (0, - 9/8)

H = 9 (Local maximum or minimum)

Unfortunately, the second derivative test associated with the function does offer an effective method to distinguish between local maximum and local minimums. A more direct approach is used to make a fair classification:

S2: (3/8,-3/8)

f(\frac{3}{8} ,-\frac{3}{8} ) = - \frac{27}{64} (Local minimum)

S3: (9/8, 0)

f(\frac{9}{8},0) = 0 (Local maximum)

S4: (0, - 9/8)

f(0,-\frac{9}{8} ) = 0 (Local maximum)

Saddle point: (0,0)

Local minimum: (\frac{3}{8}, -\frac{3}{8})

Local maxima: (0,-\frac{9}{8}), (\frac{9}{8},0)

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Stella [2.4K]

Answer:

1190

Step-by-step explanation:

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3 years ago
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ExtremeBDS [4]

Answer:

#markasbrainliest

1/3

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2/6

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3/9

=

4/12

=

5/15

=

6/18

=

7/21

=

8/24

=

9/27

=

10/30

=

11/33

=

12/36

=

13/39

=

14/42

=

15/45

=

16/48

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17/51

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18/54

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19/57

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20/60

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21/63

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22/66

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23/69

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24/72

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25/75

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26/78

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27/81

=

28/84

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29/87

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30/90

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31/93

=

32/96

=

33/99

=

34/102

=

35/105

=

36/108

=

37/111

=

38/114

=

39/117

=

40/120

=

41/123

=

42/126

=

43/129

=

44/132

=

45/135

=

46/138

=

47/141

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48/144

=

49/147

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50/150

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51/153

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52/156

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53/159

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54/162

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55/165

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56/168

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57/171

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58/174

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59/177

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60/180

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61/183

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62/186

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63/189

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64/192

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65/195

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66/198

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67/201

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68/204

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69/207

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70/210

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71/213

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72/216

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73/219

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74/222

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75/225

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76/228

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77/231

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78/234

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79/237

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80/240

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81/243

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82/246

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83/249

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84/252

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85/255

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86/258

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87/261

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88/264

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89/267

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90/270

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91/273

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92/276

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93/279

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94/282

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95/285

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96/288

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97/291

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98/294

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99/297

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100/300

3 0
3 years ago
Read 2 more answers
Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the num
Schach [20]
13 : 7
(as eli has seven
and his dister has 6 more therefore 6+7 =13)

so this must be the correct answer

hope it will help you
7 0
3 years ago
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