Write and solve an inequality or multiple inequalities to describe the possible values of x.

x < 5.1

Step-by-step explanation:

Let's define:

Using Law of Sines we can find x, as follows:

10/sin(95°) = 8/sin(α)

sin(α) = sin(95°)*8/10

α = arcsin(0.8) = 53.13°

β = 180° - 95° - 53.13° = 31.87°

x/sin(β) = 10/sin(95°)

x = 10/sin(95°)*sin(31.87°)

x = 5.3

On the other hand, we know that the addition of the two shorter sides of a triangle must be greater than the long side of the triangle. Therefore:

8 + 5.3 > 3x - 2

Solving:

8 + 5.3 + 2 > 3x  

15.3/3 > x

5.1 > x

or

x < 5.1

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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step-by-step explanation: