13 < 17 - x
13 - 17 < -x
-4 < -x
4 > x
x < 4
hope this helps, God bless!
Answer:
dimensions to minimize cost is 6 inches x 6 inches x 6 inches
Step-by-step explanation:
Since the box has a square bottom, then it means length and width are the same value. Let the length and width be x. Let the depth by y.
Thus;
Volume is; V = x²y
We are given volume as 216 in³
Thus, V = 216
x²y = 216
y = 216/x²
Surface area of box will be;
S = 2x² + 4xy
Since box is to be made of sheet of paper that coast 1 cent per square inch.
It's means per Sq.m is $0.01
Thus;
C(x) = 2 × 0.01(x²) + 4 × 0.01(xy)
C = 0.02x² + 0.04xy
Put 216/x² for y;
C = 0.02x² + 0.04x(216/x²)
C = 0.02x² + 8.64/x
dC/dx = 0.04x - 8.64/x²
At dC/dx = 0, cost is minimum
Thus;
0.04x - 8.64/x² = 0
0.04x = 8.64/x²
x³ = 8.64/0.04
x³ = 216
x = 6
From y = 216/x²
y = 216/6²
y = 6
Thus,dimensions to minimize cost is 6 inches x 6 inches x 6 inches
Solution:
Weight of person = 179 lbs
As given person needs IV Drip in m L.
Also,→ 10 mg = 2 m L
Now, you must remember , → 1 lbs = 0.453 Kg (approx)
→179 lbs = 179 × 0.453 Kg = 78.47 Kg (approx)
The person needs at least 60 mg for each Kg they weigh.
⇒ 1 Kg → 60 mg
⇒ 78.47 × 1 Kg → 78.47 × 60 mg
⇒ 78.47 Kg → 4708.2 mg
Also, 10 mg → 2 m L
⇒ 1 mg → 
m L
⇒ 4708 . 2 mg → 
m L
⇒ 4708 . 2 mg → 941. 64 ml
Hello,
What we want to do is multiply 1/6 by each value within the parentheses individually.
So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4
Together, this would be 3x-4.
Hope this helps!
Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
