What is the graph of the inequality in the coordinate plane?

Mathematics

1 answer:

miskamm [114]2 years ago

5 0

Answer:

See attached picture.

Step-by-step explanation:

y < -2 is similar to the line y= -2 which is a horizontal line. Since this is not an equal to expression, mark a dashed horizontal line through -2 on the y-axis. It also has a set of solutions which are shaded below or above the line. Since the expression is all y values less than -2, shade below the line for less than values.

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What is the sign of the larger absolute value

Anna11 [10]

> this is the sign for the larger absolute value

8 0

3 years ago

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

Stolb23 [73]

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

1) Explanation of the model:

Given: h(t) = -16t² + 48t

This is a quadratic function, so the height is modeled by a patabola.

This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

2) Axis of symmetry:

The axis of symmetry of a parabola is the vertical line that passes through the vertex.

In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

Conclusion: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0

3 years ago

Please help me with my question,Thanks!! (By the way the ratio is 12 to 36)

saul85 [17]

To answer this, you would use the original ratio of 2 to 5 and create an equivalent ratio that includes the 12 tulips. You would get a ratio of 12 to 30. This is not enough daisies.

I then tried 2/5 times 7/7, but it still did not reach the 36 daisies that are there. When you use a factor of 8, you will get 16 tulips to 40 daisies. This works!

You would need to add 4 tulips and 4 daisies to what he already has.