Answer:
Step-by-step explanation:
t/4+t/3=1
(3t+4t)/12=1
7t/12=1
7t=12
t=12/7
x=(12/7)hours
Answer: jeygehrhrxftjh
Step-by-step explanation:
Answer:
The rate of change of f(x) is greater than that of g(x)
They have the same y intercept of 14
Step-by-step explanation:
Given
Table for function f(x)
Required
Compare their rate of change and intercept
For g(x), we have:
The form of an equation is:
Where
So:
For f(x): Start by calculating the slope (m)
The intercept is calculated using:
Where
--- we want to solve for y
So:
Multiply both sides by 2
Make y the subject
So, we have:
and -- for g(x)
and --- for f(x)
By comparison:
The rate of change (i.e. slope) of f(x) is greater than that of g(x) because 
They have the same y intercept of 14
To verify whether the diagonals are perpendicular to each other, we find the slope of each segment and we can see that the slopes should be opposite reciprocals of each other.This means, these segments are really perpendicular. This theorem can be verified through congruent angles present in the quadrilateral.
Exponents can make the problem smaller and look less confusing. If you see a problem with 5*5*5*5*5*5*5*5 then you're going to eventually loose count and will have to keep repeating. But if you put 5 to the 8th power then you know right away just to multiply 5, (8) times,
