F inverse? then :
let's consider 3x + 9 as y.
so :
y = 3x + 9
y - 9 = 3x
x = y/3 - 3
now replace y with x and you get the inverse.
f^-1 (x) = x/3 - 3
Answer:
True.
Step-by-step explanation:
We have been given a statement. We are asked to determine the given statement is true or false.
Statement: Areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.
We know that area under the standard normal curve is equal to 1, so area under normal curve cannot be negative.
We know that a z-score represents that a data point is how many standard deviation above or below mean.
When a data point is less than mean, then z-score will be negative and when a data point is greater than mean, the z-score will be positive.
Therefore, our given statement is true.
Answer:
x=4
Step-by-step explanation:
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).
