Answer:
Step-by-step explanation: To find the slope we can use the equation (y2-y1/x2-x1). So we can use the points (2,7) and (3,9). The equation would look like (9-7/3-2). This solves to 2/1. This equation can be solved either way just make sure that you put the values in order like the reverse of this equation would be (7-9/2-3 which equals 2/1. Now that we have the slope we can use this to find the y-intercept. The formula is y=x + ?. For this instance we will use (2,7) for this so the equation will be 7= 2/1 * 2 + x. This solved equals 4 + 3= 7. With this we now know that y is equal to 3. So your slope formula will be 2/1x + 3 now with this we can solve for y when x = 8. 2/1(8) + 3 = 19. I hope this helps
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Answer:
b.
Step-by-step explanation:
Answer:
(C) f’(c) = 0 and f”(c) > 0
Step-by-step explanation:
A minimum occurs where the first derivative is 0 (the tangent line is horizontal), and the second derivative is positive (concave up). The simplest example of this is a positive parabola, like y = x², which has a relative minimum at its vertex.
Answer:
D
Step-by-step explanation:
