Answer:
(x-4) (x-3) (x+3)
Step-by-step explanation:
x^3 - 4x^2 - 9x + 36
Make 2 groups
x^3 - 4x^2 - 9x + 36
We can factor out x^2 from the first group and -9 from the second group
x^2 (x-4) - 9(x-4)
Now factor out (x-4)
(x-4) (x^2 -9)
This may be an answer choice but we can still factor
(x^2 -9) is the difference of squares
(x^2-9) = (x-3) (x+3)
Replacing this
(x-4) (x-3) (x+3)
Answer:
150
Step-by-step explanation:
The terms in the sequence form an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
2 + 3(n - 1) = 449
2 + 3n - 3 = 449
3n - 1 = 449 ( add 1 to both sides )
3n = 450 ( divide both sides by 3 )
n = 150
Answer:
Step-by-step explanation:y–3=½(x+2)
Multiply through by the denominator (2).
2×y–2×3=½(x+2)×2
2y–6=1(x+2) because the denominator (2) will cancel the other 2 multiplying it
2y–6=x+2
2y=x+2+6
2y=x+8
---. -----
2. 2
•°•y=x+8
-----. Or y=x+4
2
Answer:
5:7
Step-by-step explanation:
140% of 30 is 42 so when i got that, i set up my proportion as 30:42 and then simplified
The answer for this problem is x=-2 or x=3.
<em>To solve, start with the equation.</em>
0=x^2−x−6
<em>Subtract x^2-x-6 from both sides.
</em>
0−(x^2−x−6)=x^2−x−6−(x^2−x−6)
−x^2+x+6=0
<em>Factor left side of equation.
</em>
(−x−2)(x−3)=0
<em>Set factors equal to 0.
</em>
−x−2=0 or x−3=0
x=−2 or x=3
