We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
4a. 150*6=900 g
4b. 450/150=3 eggs
5a. 11.96/4=$2.99/bag
5b. 2.99*9=$26.91 for 9 bags
Hope this helps!
Answer:
A
Step-by-step explanation:
Answer
You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.
Answer: the answer is A slope = rise / run
Answer:
- object is moving to the right with constant speed
- object is moving to the left with constant speed
- object was stationary for a while, then started moving to the right with constant speed
Step-by-step explanation:
These graphs are of position, so the slope of the graph is the change of position with time, which is velocity. When the slope is positive, the velocity is positive, meaning its direction is to the right. When the slope is negative, the velocity is negative, meaning its direction is to the left.
When the slope is zero, the object is stationary (not moving). The position remains as it was.
1. The position vs. time curve is a straight line with positive slope. The object is moving to the right with constant velocity.
__
2. The position vs. time curve is a straight line with negative slope. The object is moving to the left with constant velocity.
__
3. The position vs. time curve is flat for a while, then increasing with constant slope. The object stayed where it was for a while, then began moving to the right (to larger values of x) with constant velocity.
So you need to find 15% of $27.38. To do this you can multiply 27.38 * .15 and get 4.107. Round to $4.11 and this is the tip. The total bill would be $31.49
