Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then
...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get
Putting 
, we get
Therefore, the correct option is A.
Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.
4/81 (?)
not sure if that is 100% correct
Step-by-step explanation:
6x = 33
or, x=33/6
x=5.5
Answer:
1 / (x-2)(x+3)
Step-by-step explanation:
Given in the question the expression:
(x + 1) / (x² + x - 6) ÷ (x² + 5x + 4) / (x+4)
factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation
(x + 1) / (x-2)(x+3) ÷ (x² + 5x + 4) / (x+4)
Taking reciprocal to convert ÷ into ×
(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)
factorisation of (x² + 5x + 4) = (x+1)(x+4) by using quadratic equation
(x + 1) / (x-2)(x+3) x (x+4) / (x+1)(x+4)
cancel (x + 1) from both expression
1 / (x-2)(x+3) x (x+4) / (x+4)
cancel (x+4)
1 / (x-2)(x+3) Simplified form
