Answer:
14 & 16
Step-by-step explanation:
30÷2=15
15+15=30, so we can make the conclusion...
14+16=30
Answer:
1. x= -66
2, x=7
3. m= -28
4. t= -2.04 (I rounded)
5. x-(-2)=21
6. x(-2.5-3)=60
7. x≥40
Step-by-step explanation:
9514 1404 393
Answer:
30
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators.
Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:
LCD = 3×10 = 30
The least common denominator is 30.
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If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.
9514 1404 393
Answer:
- A = (0, 1)
- B = (3, -2)
- area = 4.5 square units
Step-by-step explanation:
Rewriting the equations to make x the subject, we have ...
x = y² -1 . . . . . [eq1]
x = 1 - y . . . . . .[eq2]
At the points of intersection, the difference will be zero.
y² -1 -(1 -y) = 0
y² +y -2 = 0
(y -1)(y +2) = 0
The y-coordinates of points A and B are 1 and -2.
The corresponding x-coordinates are ...
x = 1 -{1, -2} = {1 -1, 1+2} = {0, 3}
Then A = (0, 1) and B = (3, -2).
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A differential of area can be written ...
(x2 -x1)dy = ((1 -y) -(y² -1))dy = (2 -y -y²)dy
Integrating this over the interval y = [-2, 1] gives the area.
The area of the shaded region is 4.5 square units.
Answer:
Step-by-step explanation:
Here the number of variables is 2
Variable x should be the number of 100 pound bags of lawn fertilizer to be made.
Variable y should be the number of 100 pound bags of garden fertilizer to be made.
The number of constraints is 5
They are,
0.35x + 0.14y ≤ 160 ----(1)
0.20x + 0.13y ≤ 220 ----(2)
0.20x + 0.12y ≤ 140 ----(3)
x ≥ 0 ----(4)
y ≥ 0 ----(5)
The number of objective functions is 1
It is, Maximize Z = 15x + 10y
