Answer:
He should serve 2 chocolate bars and 2 granola bars
Step-by-step explanation:
Let's define
x: amount of chocolate bar
y: amount of granola bar
We are asked to solve the following optimization problem:
maximize 7*x + 2*y
subject to
50*x + 25*y ≤ 150
5*x + 15*y ≥ 40
x ≥ 0
y ≥ 0
In the figure attached, the feasible region is shown. The solution is one of the vertex
vertex objective function
(0, 2.667) 7*0 + 2*2.667 = 5.334
(2, 2) 7*2 + 2*2 = 18
(0, 6) 7*0 + 2*6 = 12
Answer:
y - 6 = (-1/2)(x - 4)
Step-by-step explanation:
As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4. Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.
The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Using the point-slope formula, we get the following equation for the perpendicular line:
y - 6 = (-1/2)(x - 4) ( obtained using the point (4, 6) )
Definition of parallel
alternate interior angle theorem
reflexive property of congruence
alternate interior angle theorem
Answer:
5 miles per hour
Step-by-step explanation:
Using the graph, at time 1 hour, she has run 5 miles
That means the rate is 5 miles/ 1 hour
5 miles per hour
