Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
substitute
This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour
Answer: 16%
Method:
To get a percent ( out of 100 ) - make it a fraction.
8/50 then multiply it by 2 = 16/100
16/100 as a percentage is 16%
I think it would contain 0.2915 ounces of pure gold in it. sorry if my answer isnt correct
Answer:
208 cm2 (C)
Step-by-step explanation:
16*6=96
The area of the LEFT polygon is 96 according to length times width.
Since the entire length is 14 and the rectangle alone has a length of 6, 14-6=8 which then you multiply by 14 to get your area of the RIGHT polygon.
8*14= 112
When you add both area values together you get the area of the entire polygon.
96+112=208
![\bf -\cfrac{1}{4}(y+2)^2=(x-1)\implies (y+2)^2={-4}(x-1) \\\\\\\ [y-(-2)]^2=-4(x-1)\quad \begin{cases} k=-2\\ h=1\\ 4p=-4 \end{cases}\implies 4p=-4\implies \boxed{p=-1}](https://tex.z-dn.net/?f=%5Cbf%20-%5Ccfrac%7B1%7D%7B4%7D%28y%2B2%29%5E2%3D%28x-1%29%5Cimplies%20%28y%2B2%29%5E2%3D%7B-4%7D%28x-1%29%0A%5C%5C%5C%5C%5C%5C%5C%0A%5By-%28-2%29%5D%5E2%3D-4%28x-1%29%5Cquad%20%0A%5Cbegin%7Bcases%7D%0Ak%3D-2%5C%5C%0Ah%3D1%5C%5C%0A4p%3D-4%0A%5Cend%7Bcases%7D%5Cimplies%204p%3D-4%5Cimplies%20%5Cboxed%7Bp%3D-1%7D)
so, is a horizontal parabola, the "p" distance is 1, however, we ended up with a negative value, that means, the parabola is opening to the left-hand-side, with a vertex at (1, -2), and its focus at 0, -2, like you see in the picture below, one unit to the left of the vertex.
