1. M(x)=12x, with domain x < or =30, x a natural number {1,2,3,...30}
2. T(y)=12*30+15y
T(y)=360+15y is the function which gives the wage after 30 hours of regular time and y of overtime.
3. T(y)=510
360+15y=510
15y=510-360=150
y=10 hours of overtime (and 30 of regular time.
The length of the rectangle is 8 1/2
1. 2(4.5) + 0.5 = 9.5
2. 5(3) - 2 = 13
3. 2.5(18) + 0 = 45
Answer:
Area of the base = 
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation: 
Hence final answer is:
Area of the base = 
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:


Where,



Solve by plugging the above values where necessary as follows:










The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)