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Olin [163]
3 years ago
6

PLS HELP ME!!!!!! 5w ≥ –6w + 11

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

w ≥ 1

Step-by-step explanation:

Given

5w ≥ - 6w + 11 ( add 6w to both sides )

11w ≥ 11 ( divide both sides by 11 )

w ≥ 1

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Which system of inequalities is represented by the graph?
melisa1 [442]

Answer:

Option 3 is the correct answer.

Step-by-step explanation:

In this graph the red area is above the line y = -1 which represents y ≥ (-1)

Another graph is of a line y = mx + c which passes through (2, -1) and (0, 0)

where m = (y-y')/(x-x') = (1+0)/(0-2) = -1/2

and y intercept c = 0

Therefore line is y = -1/2x

and the blue area will be y ≤ -1/2x below the line.

Hence Option 3 is the answer.

3 0
3 years ago
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For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a
Musya8 [376]

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

k {x}^{2}  + 20x + k = 0

The discriminant of this equation is given by;

D =  {b}^{2}  - 4ac

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Simplify to get:

400 - 4  {k}^{2}  = 0

This implies that:

400  = 4  {k}^{2}

100 =  {k}^{2}

Take square root to get:

k =   \pm\sqrt{100}

k =  \pm10

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3 years ago
Can anybody help me please
Sliva [168]

Hello, your answer would be (-5, 5)

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