9514 1404 393
Answer:
A) x is less than 4 AND x is less than 1
Step-by-step explanation:
It's all about understanding the meaning of the English words involved.
A) any member of the solution set must be less than 1 and less than 4. Only numbers less than 1 can satisfy both requirements. (This is the correct choice.)
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B) members of the solution set may be less than 1 or may be greater than 3. Numbers less than 1 are part of the solution set, but not all of it.
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C) members of the solution set are required to be both greater than 3 and less than 1. There are no such numbers. The solution set is the empty set.
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D) members of the solution set may be less than 4 or less than 1. Any number less than 4 will be a member of the solution set.
Answer:
$0.19.
Step-by-step explanation:
Unit rate / ounce = 2.66 / 14
= $0.19.
67+79+80+190= 416
Each number has been rounded
X+2y≤6 with x≥0 and y≥0
2x+y≤6
1st) Find the 1st shaded region: 1st Quadrant since x≥0 and y≥0
2nd) Let's find the x and y intercepts of 2x+y = 6
x-intercepts for y = 0 , x=6 →A(3,0)
y-intercepts for x = 0 , y =3→B(0,6) . Now Join AB
2nd shaded region
3rd) Let's find the x and y intercepts of x+2y = 6
x-intercepts for y = 0 , x=6 →C(6,0)
y-intercepts for x = 0 , y =3→D(0,3) . Now Join CD
3rd shaded region
4th) Now let's calculate the coordinate of the intersection point of
x+2y=6 and
2x+y =6 Solving it will give you x = 2 and y = 2 (coordinates of the intersection of AB with DC, le be E. (4th shaded region).
Re write all pairs:
A(3,6), B(0,6), C(6,0), D(0,3), E(2,2). Now plug in each pairs with the equation:
F= 5x + 2y
For A(3,6), →→F=15+12 = 25
For B(0,6), →→F=0+12 = 12
For C(6,0), →→F=30+0 = 30
For D(0,3), →→F=0+6 = 6
For E(2,2), →→F=20+4 = 14
So the max value of F= 5x+2y is 30 at C(6,0)
Hope that I didn't make any mistake
