23 is the constant rate of change..............
Answer:
1
— = X
12
Step-by-step explanation:
Answer:
-1.2
Step-by-step explanation:
Given that the designer also programs a bird with a path that can be modeled by a quadratic function.
The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).
If we treat this curve as line joining these two points then we can find the slope by the formula
Slope = change in y coordinate/change in x coordinate
Here the points given are
(0,20) and (10,8)

Slope of the line that represents the turtle's path
=-1.2
A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?
.
Let x = liters of 40% iodine
then
4-x = liters of 80% iodine
Using algebra:
.40x + .80(4-x) = .50(4)
.40x + 3.20-.80x = 2
3.20-.40x = 2
x = 4 liters (40% iodine)
80% iodine:
4-x = 4-4 = 0 liters needed (80% iodine)
To find the answer, set up an equation:

Using this set up we can cross out the units that are on opposite sides of the proportion such as miles and hours, leaving us with the desired units of meters and seconds. Then calculate m/s by multiplying 45 by 1000 meters and then dividing that value by 3600 seconds.
The resulting answer is 45mph = 12.5 m/s