Answer:
-14/15
Step-by-step explanation:
First, you want to turn each mixed number into an improper fraction. So you get -10/3 + 12/5. Then you want to get the same denominator, and the LCD happens to be 15. You get -50/15 + 36/15. Addition is commutative, so you can do something like this: 36/15 - 50/15. You can do 36-50=-14, and then add the denominator to get -14/15.
Answer:


Step-by-step explanation:
We know the definition of both functions:
, and 
A) In order to evaluate what
, let's first investigate what g(-1) is using the definition for this function:

Now let's find what f(2) is using f(x) definition: 
B) In order to evaluate what
, let's first investigate what f(3) is using the definition for this function:

Now let's find what g(7) is using the definition for this function:

Answer:
She needs 50 ft² of wood to cover the table
Step-by-step explanation:
You need to know the formula for area of a trapezoid, which is
A = (B1 + B2)h/s (add the bases together, multiply by the height, then divide
by 2)
We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify
A = (12 + 8)(5)/2
A = (20)(5)/2
A = 100/2
A = 50 ft²
All you have to do for this is follow the midpoint formula.
Let me know if the picture is unclear and I'll type it out for you.