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3 years ago

Graph the inequality y ≤ |x + 2|. Which point is NOT part of the solution?

Mathematics

2 answers:

Alexus [3.1K]3 years ago

7 0

Answer: ( -1,2 )

x+2 = 0

x = -2

graph |x| with solid line then move the whole thing left 2 which give you (0,0) to (-2,0)

because it is less than equal to, you shade the part below the V then you can clearly see which point doesn't belong in the shaded part which is the point that is not part of the solution.

Hope it helps. :D

ddd [48]3 years ago

5 0

Answer:

(-1 , 2) Not part of the solution

Step-by-step explanation:

from the graph:

(0 , 0) in the red part ⇒ it's a solution

(-1 , -2) in the red part ⇒ it's a solution

(1 , 2) in the red part ⇒ it's a solution

(-1 , 2) in the red part ⇒ it's Not a solution

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Un móvil azul de 573 g se encuentra en movimiento sobre un carril metálico. Si sobre el móvil, el resorte ejerce una fuerza haci

ad-work [718]

Answer:

The total mechanical energy is 0.712 J.

Step-by-step explanation:

A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.

The total mechanical energy is given by the sum of the kinetic energy and the potential energy.

Kinetic energy = 0.47 J

Potential energy = 0.242 J

The total mechanical energy is

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4 0

3 years ago

Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .