Answer:
1.
Step-by-step explanation:
The thing is, x^0 is always 1. So even if you simplify, it will still be 1.

Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see 
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
9514 1404 393
Answer:
-312
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...
a50 = 31 -7(50 -1) = 31 -7(49) = -312
The 50th term for the sequence is -312.
Answer:
12 cups
Step-by-step explanation:
If the size of the bag decreased by 20%, so will the number of cups held.
Number of cups held before the change = 15 cups
If the number of cups held after the 20% reduction in the size of the bag
= (100 - 20)% × 15
=80% × 15
= 12 cups
The new bags will hold 12 cups.