Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
Answer:
Answer:
x = 2
Step-by-step explanation:
The vertex form of the parabola is given by
Comparing this equation with vertex form of a parabola , where (h,k) is the vertex
h = 2
k = 3
Hence, vertex is (2,3)
Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.
Hence, axis of symmetry of the parabola is given by
x = h
x = 2
Third option is correct.
From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)
Subsituting the values you know, you have
.. an = 3*12^(n-1)
