Which set of rational numbers is arranged from least to greatest?

2 answers:

OverLord2011 [107]3 years ago

6 0

Alright, so basically it goes like this:

The farther left you go on the number line, the less value the number holds.
The farther right you go on the number line, the more value the number holds.

-3.5 is as FAR left as any of these numbers, this means it's the number with the least value. It'll be your first number.
-1/4 is your next one. This is before the -3.5, meaning on the number line, it's a little to the right of the -3.5. So, this'll be your number with the SECOND lowest value.
1/3 is a positive number, meaning it's after the 0, but barely. It's not a whole number, which is why it's a fraction. Even though it's considerably bigger than the other 2 numbers I just listed, it's still pretty low, so this is your number with the THIRD lowest value.
2 is a positive number. It holds the most value, because it is the farthest number out of these to the right of the 0.

Your correct order is B: -3.5, -1/4, 1/3, 2
This is Least to Greatest.
~Hope this helps buddy!

Sphinxa [80]3 years ago

3 0

-3.5, negative 1 over 4, 1 over 3, 2

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Jennifer hit a golf ball from the ground and it followed the projectile ℎ(t)= −15t^2+100t, where t is the time in seconds, and ℎ

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

In order to find the max height the ball reached, we have to complete the square on that quadratic. That will also, conveniently so, give us the number of seconds it will take the ball to reach that max height, that answer to part b. Let's begin to complete the square. Normally, you would move the constant over to the other side of the equals sign, but there is no constant here. The next step is to get the leading coefficient to be a 1, and ours right now is a -15. So we have to factor it out. Here's where we start the process of completing the square.

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The reason we do this is to create a perfect square binomial on the left which will serve as the number of seconds, h, in the vertex (h, k), where h is the number of seconds it takes the ball to reach its max height, k. Simplifying both sides then gives us:

$-15(t-\frac{20}{6})^2=-\frac{500}{3}$ Finally, we will move the right side over by the left and set the quadratic back equal to h(t):

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Part b is found in the first number of the vertex: h, the number of seconds it took the golf ball to reach that max height. The time it took was 3 1/3 seconds.

Part c. is to state the domain (the time) and the range (the height) of the ball.

Domain is

D: {x | 0 ≤ x ≤ 3 1/3} and

Range is

R: {y | 0 ≤ y ≤ 166 2/3}

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