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:
Step-by-step explanation:
The square root of 8 to the nearest 100th is 2.83
The 3 is less than 5 so it does not alter the 8 at all.
The answer is 2.8
Answer:
80%
Step-by-step explanation:
1 = 20%
4 = 80%
hopefully this helps you :)
pls mark brainlest ;)
X - 3pt baskets (he reaches 3x points)
y - 2pt baskets (he reaches 2y points)
We know, that y=x+43
97 - 1 free throw = 97 - 1 = 96
Sum of points: 96
3x + 2y = 96. Substitute to "y" an expression "x+43" :
3x + 2(x+43)=96
3x+2x+86=96
5x=10 |:5
x=2
So y=x+43=2+43=45
He has made 2 three points baskets and 45 two points baskets
Part A:
x=5
4x-1 ≤19
4(5)-1 ≤19
20-1 ≤19
19 ≤19
x=5
4x-1<19
4(5)-1<19
19<19
Explanation:
In problem one the greater then symbol has a line under it, this means that the symbol now means greater then or equal to. Since 19 is equal to 19 it is correct. In problem to the greater then symbol has no line under it meaning it only means greater then. Since 19 is not greater then 19 it is false.
So basically the difference is:
≤ = greater then or equal to
< = greater then
Part B:
5x+2=47
-2 -2
5x=45
/5 /5
x=9
Explanation:
Since when you solve the equation x=9 the value 9 from the set makes the equation.
Hope this helped :)
