Answer:
The answer is:
Step-by-step explanation:
In first place you sould consider that the semi-truck trailer is a rectangular prism. The volume of a rectangular prism is obtain by:
The width is 8 feet and the long is 20 feet, which means:
Now the height is given in inches, we need all the values in inches or in feet. 1 inch is equal to 0.0833333 feet. To trasform the height to feet we apply The Rule of Three:
So the volume is given by the following equation:
To transform the volume to inches we just multiply by 12:
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer:
this is a linear function
Step-by-step explanation:
y = a + bx
in this case:
y = 800 - 114.29x
where:
y = accumulated depreciation
x = number of years
year accumulated
(x) depreciation (y)
0 0
1 114.29
2 228.58
3 342.87
4 457.16
5 571.45
6 685.74
7 800
Answer:
Skewed Left
Step-by-step explanation:
The Greatest Common Factor of 32 and 48 is 16.
First, get the factors of both numbers:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The common factors are: 1, 2, 4, 8, 16
Among the common factors, the GCF is 16.
