First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:
Most kinetic energy on the top
Answer:
0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0 degrees
Standard Deviation, σ = 1 degrees
We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.
Formula:

P(Between 0.50 degrees and 1.75 degrees)

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
3 < 3x+6
-3<3x
-1<x
3x+6<24
3x<18
x<6
-1<x<6 the book is right