I believe the answer is 280 because if you add all of the representatives together that it was it equals.
Answer:
4) 216
5) 216%
6) It's just like the bird's eye view of the tank, exept it's 2d.
Step by step solutions:
4) Draw a cube. Draw another cube but smaller. Label sides of the big cube 6x and the small cube x. Find the volume of each, which are 216x^3 and x^3. Divide (216x^3)/(x^3) and you get 216 times.
5) It wants percentage of big over small, so redraw the diagrams from #4 and instead of x, set x as 2. So the big sides are 12 and the small sides are 2. But you should write the sides as 2*6 and 2. Then, you calculate the volumes: 12^3 = 1728 and 2^3 = 8. Percentage of small tank over big tank would be 8/1728, but we want the opposite. We want something bigger than 1. So, we take the reciprocal and we get 1728/8 % = 216%. All along, the times was the percentage.
6) Draw a cube and draw a cube or a rectangular prism, but be warned, we don't know exactly what shape it is. Hint: just do a cube with a little exagerated side length just in case teacher is bad. OK back to this. Then, draw a line through the cube/rectangle and you get a rectangle-like shape.
The equation of a line that passes throug the point (x1,y1) and has a sloppe of m is
y-y1=m(x-x1)
the slope of paralell lines ar the same
y=3x+2
y=mx+b
m=slope
m=3
a point is (-2,0)
slope is 3
y-0=3(x-(-2))
y=3(x+2)
y=3x+6
the equation is y=3x+6
g(2) means plug in x = 2 into the function g(x) = |-2x + 4| and f(-1) means plug x = -1 into f(x) = 3x - 1.
That will give you two numbers that you can then use to calculate g(2) - f(-1)
13 + [128 + (-24 - 5b)/2)]/3 - 45 = 0
(52 - 5b/2)/3 = 32
52/3 - 5b/6 = 32
14.67(6) = -5b
b = 88/-b
b= -17.6
