I think the correct answer would be : (-8,3)
I hope this helps !
Answer:


Step-by-step explanation:
A function and its inverse has the following properties

This implies that;

From the table,

This means that:


Note that: f(7) means the value of f(x) when x=7.
From the table f(x)=-6 when x=7.
That is why f(7)=-6.
Answer:

Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):

We have the point (6, 8). Substitute:

Finally:

Answer:
4 ohms
Step-by-step explanation:
The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"
Current, I₁ = 5 A
Heat, Q₁ = 1200 units
Resistance, R₁ = 8 ohms
Time, t₁ = 2 min = 120 s
New heat, Q₂ = 6000 units
Current, I₂ = 10 A
New time, t₂ = 5 min = 300 s
We need to find the new resistance.
Heat developed is given by :


So, the new resistance is 4 ohms.