Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
Answer and workin your attached below. Hope it helps
Answer:
0.25 = one time charge
Step-by-step explanation:
Given that:
Charging pattern of store for scanning documents :
(One time fee + fixed amount per page scanned)
The equation:
y=0.10x+0.25 ; gives the total cost of scanning x document pages
Comparing the equation and the charging pattern :
y = total cost
0.10 = fixed cost per page
x = number of pages scanned
0.25 = one time charge(not dependent on number of pages to be scanned).
A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient