Answer:
Step-by-step explanation:
3x^2 + 24x + 48 + 43 - 48
3(x^2 + 8x + 16) - 5
3(x + 4)^2 - 5
vertex at (-4,-5)
The given equation is
y = x
→
reciprocating both sides, we get
→ ............(1)
→ Here x and y are Directly proportional to each other.
which means ,
→ x = k y , where k is constant of proportionality.
Or , = k ............................(2)
Equating (1) and (2),
k =
Answer:
associative property
Step-by-step explanation:
This illustrates the associative property. It doesn't matter in which order you combine the terms here.
In mathematics, numbered sequential patterns are distinguished as progressions. There are three types of progression: arithmetic, geometric and harmonic. Let's focus on the arithmetic progression.
The pattern in the arithmetic progression is the common difference, You will find that when you subtract two consecutive terms of the sequence, you would get a common difference. Let's investigate further:
28-44 = -16
12-28 = -16
-4-12 = -16
Thus, the common difference is -16. To know the last term, just simply add -16 to the very last known term. In this case, -4+-16 = -20. The answer is -20.