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:
-6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+14=7x+32−3x
x+14=7x+32+−3x
x+14=(7x+−3x)+(32)(Combine Like Terms)
x+14=4x+32
x+14=4x+32
Step 2: Subtract 4x from both sides.
x+14−4x=4x+32−4x
−3x+14=32
Step 3: Subtract 14 from both sides.
−3x+14−14=32−14
−3x=18
Step 4: Divide both sides by -3.
−3x/−3=18/−3
x=−6
Answer:
x = 49
Step-by-step explanation:
1- Substitute g ( x ) = 0
Reduce
g ( x ) = - x 2/4 + 7
2- Move the variable to the left
0 = - x 1/2 + 7
3- Simplify the equation
x 1/2 = 7
4- Simplify Evaluate
( x 1/2 ) ² = 7²
5- Check the solution
x= 49
6- Simplify
0= - 49 2/4 + 7
7- x = 49 is a solution
0 = 0
Answer:
Step-by-step explanation:
P1(3,3)
P2(1, -5)
M= (-5-3)/(1-3)=-8/-2=4
Y=4x-9
There is no exact rule for lines of best fit. However, in general, there should be roughly the same amount above as below. So, if we are following this rule, there should be about 4 below as well.
