Answer:
y = 148
Step-by-step explanation:
First, we use the point-slope form of the equation of a line to find the equation of this line.
y - y1 = m(x - x1)
y - 4 = 6(x - 3)
y - 4 = 6x - 18
y = 6x - 14
Now we let x = 27 and find y.
y = 6(27) - 14
y = 162 - 14
y = 148
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:

To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute
and
into the equation above:
Since
= -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :

F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.