Answer:
Volume A= one third
Step-by-step explanation:
Use volume B
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure
Answer:
6/12
1/2
Step-by-step explanation:
First, we need to find how many multiples of three there are, and how many numbers less than three there are on a 12 sided die.
Multiples of 3: 3, 6, 9 ,12
Less than 3: 2, 1
When calculating the probability of rolling a number, the actual number is arbitrary- instead, you need to know how many of numbers exist to fit the requirements. In this case, it's 6 total. Since there's 12 possibilities on a 12 sided die, the probability would be 6 out of 12. You could also simplify the fraction, but both are equivalent.
I hope this helps!
Answer:
Step-by-step explanation:
-6x+3y=-7