Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,

...(i)
Where, k is the constant of proportionality.
We have,
when
. Substituting these values in (i), we get
Divide both sides by 5.
Substituting
in (i), we get
Therefore, the required equation is
.
Answer:
6
Step-by-step explanation:
• g^-1
y = 3x – 4
3x = y + 4
x = y + 4 / 3
g^-1 = x + 4 / 3
• g(13)
3(13) – 4
39 – 4
g(13) = 35
• g^-1(g(13)) = (35) + 4 / 3
39 / 4
g^-1(g(13)) = 13
Answer:
9
Step-by-step explanation:
used a calculator
Answer:
2
Step-by-step explanation:
Given the system of equations:

Comparing
with the general standard equation of a circle
.
The first equation is an <u>equation of a circle centred</u> at (0,0) with a Radius of 3.
The second equation 9x+2y=16 is a <u>straight line equation.</u>
A straight line can only intersect a circle at a maximum of 2 points.
Therefore the greatest possible number of solutions to the equations in the system is 2.