If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).If g(x) is a function defined by text:
Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
Ahh, basic shapes. Split up the weird shapes into easier ones. #1 can be truned into 2 trapezoids. #2 can be turned into 2 circles. #3 is a triangle and a trapezoid. #4 is 2 right triangles. #5 is a rectangel and a traingle. Finally, #6 is 3 traigles and a rectangle. Do you see how we broke the hard shapes into easier shapes?
Volume = l*b*h
1. Ans 24 unit cubes
Because it had 6 unit cubes as length, 2 unit cunes as breadth and 2 unit cubes as height.
2. Volume = l*b*h
= 30*15*4
=1800 cubic feet
Step-by-step explanation:
Blue : red
4:6
800:1200
C should replace the star
General Idea:
The volume of cylinder is given by 
, where r is the radius and h is the height of the cylinder.
Applying the concept:
Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.
Volume of full cylinder 
Volume of half cylinder 
Step 2: Let x be the number of minutes of filling the sand.
of sand filled every 15 seconds, there are four 15 seconds in a minute.
So volume of sand filled in 1 minute
.
of sand taken out of cylindrical vase every minute.
Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute
Net volume of sand filled in 1 minute
Volume of sand filled in x minutes 
.
We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.
Conclusion:
The number of minutes required for the base be half filled with sand is 57
