1/80 = 0.0125
1/5 = 0.2
0.0125-0.2 = -0.1875
-0.1875 = -3/16
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.
In your equation, h = -3 and k = -8.
Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2
Answer:
The answer is 2.78
Step-by-step explanation:
(6^-2)^2
When you have a number raised to a power inside parenthesis and then it is raised to another power, to simplify, multiply the two powers together:
-2 x 2 = -4
Simplified is 6^-4
Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Step-by-step explanation:
