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:
f(0) = 3
Step-by-step explanation:
Step 1: Distribute
f(x) = -3x + 3
Step 2: Plug in
f(0) = -3(0) + 3
f(0) = 3
Answer:
4th one
Step-by-step explanation:
18/6=3 3 units on the y-axis / vertical
That's the only one with (-4,-2)
Answer:
b
Step-by-step explanation:
Justin's score has to be greater than 80. the appropriate inequality sign is >
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
On the number line, since the score has to be greater than 80, the line would start from 80 and end on 95
> or < is represented by unfilled circle
≤ or ≥ is represented by filled circle
The answer is the first row.
Explanation:
8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000
80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger
Therefore, the first answer is correct.
Hope I helped and good luck!
