First get like things on the same side:
-5/6b - 1/2b= -2/3 - 3/4
Then find equivalent fractions to make the equation easier to solve.
-5/6b - 3/6b= -8/12 - 9/12
Then just add things together and solve.
-8/6b= -17/12
-8b= 6(-17/12)
-8b= -17/2
b= (-17/2)/-8
b= 17/16
You can then plug the answer back into the original question to make sure it is the correct answer.
g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if
(x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when
(x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when 
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes
true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(x-8)+9=4x-23
4x-32+9=4x-23
4x-23=4x-23
infinitely many solutions.
Answer:
Todd will need 9 pint-sized containers to store 4.5 quarts of ice cream.