What is the difference between the two inequalities? Explain.

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer:

One includes 3 as a solution, one excludes it.

Step-by-step explanation:

Think about the difference between the phrase "they were shorter than me" and the phrase "they were no taller than me." In the first one, we're implying that this other person can't be as tall as you; their height has to be less than yours. In the second, we're allowing for the posibility that this person's height matches yours. x < 3 describes that first kind of scenario, while x ≤ 3 describes the second.

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Step-by-step explanation:

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2 years ago

The height of the javelin above the ground is symmetric about the line t = seconds. The javelin is 20 feet above the ground for

Levart [38]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.

Part 1:

we must see in the graph the axis of symmetry of the given parabola.
The axis of symmetry is the following vertical line:
$t = 2
$
Answer:
The height of the javelin above the ground is symmetric about the line t = 2 seconds:

Part 2:

we must see the time t for which the javelin reaches a height of 20 feet for the first time.
We have that when evaluating t = 1, the function is:
$h (1) = 20.
$
To do this, just look at the graph.
Then, we must observe the moment when it returns to be 20 feet above the ground.
For this, we have from the graph that:
$h (3) = 20 feet
$
Therefore, a height of 20 feet is again reached in 3 seconds.
Answer:
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds