Answer:
2nd option: the lowest point on the graph is (-2, -2). this is where both sides of the parabola converge. from this point, both lines go up. this means the vertex is a minimum.
Answer:
Part A) see the explanation
Part B) 
Step-by-step explanation:
Part A)
we know that
A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form
or 
Let
C ---> is the total cost (represent the output or dependent variable)
x ----> is the number of books (represent the input or independent variable)
In this problem
we have a proportional relationship between the variables x and C
Part B) we know that
The linear equation is given by

The constant of proportionality k is the same that the slope or unit rate of the linear equation
In this problem the constant k is given

so

For x=12 books
substitute in the equation and solve for C

In function notation

Eight more than the product of two and a number x
8+2x <== in mathematical form
Eight more= 8+
Product= multiply
number=x
~'Manda
To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.
Answer:
the answer to the first question is 9/27, 5/27, 13/27
the answer to the second question is 27/126, 33/126, 20/126, 42/126
the answer to the last question is 32/44
Step-by-step explanation:
they way you solve the fist two questions you just add the numbers up and that will tell you your probability.
for the last question you take the number of players and subtract it by 12 to get the top number