Assuming there was no stop lights, speed bumps, or anyhing else that could slow you down:
227.5
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.
Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.
Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> 
The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
The most accurate and most likely probability is found by having a large, non-biased sample. The answer choice that shows this is D. Determine the ethnicity of 100 men (assumingly selected randomly) from a large city and determine the number who are Caucasian.
This answer choice showcases a large sample group, that was selected randomly from a large city. This would give you varied people to contribute to your study and give you an accurate representation of what the demographics of the city are.
I hope this helps! :)
1) Never heard of someone referring to the Law of Levers before, must be showing my age. A system as you describe is at equilibrium when the net torque is equal to zero. Since torque is Fr=mgr so for this system we have a sum of:
27g*10+30g*x=0 The sum must be zero to be at equilibrium, dividing both sides by g you have:
270+30x=0
270=-30x
x=-9
The negative just indicates that the magnitude of 9 is on the opposite side of the fulcrum, so x=9ft in magnitude.
2) Inverse variation is of the form y=k/x, in this case we are given a point so we can solve for the constant, k, of variation...
y=k/x, and we are given y=-12 when x=5 so
-12=k/5
k=-60 so the equation is:
y=-60/x which can be expressed as
xy=-60
