Answer:
For a table for x and y values for this absolute value equation, it would look like this:
x --- y
3 --- (-5)
4 --- (-1)
5 --- 3
6 --- (-1)
7 --- (-5)
Step-by-step explanation:
When you are building a table for an absolute value graph, you start with the base formula for absolute value equations:
y = a|x-h| + k
In this equation (h, k) is the vertex and therefore the middle point. From there we go two numbers in each direction for our x values. And for every change in x, y changes by a factor of a.
12.6 repeating is the equivalent of 12.666666666666 and so on but if you rounded, it would be 12.67. So, compare 12.67 and 12.63. 12.67 is larger.
Ten to the power of five.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
A=1/2ab
Replace the variables with their value
15=1/2(3/2)b
Multiply 1/2 and 3/2
15=3/4b
Divide 3/4 on both sides
15/(3/4) is the same thing as
45/4=b