First, let's find the time where the ship arrives to point C
t=d/V, t= 45/30=1.5h
if the ship's departure time is at 1.5h, on the point C, let 's find its arrival to the point O, V=D/Dt, Dt=tfinal-tinitial
Dt=D/V= 20/30=0.6h=t final -t initial, implies t final=0.6+t initial=0.6+1.5=2.1h
so the ship will be on the radar at 2.1h,
Solution: (-Infinite, -8/3] U (4, Infinite)
Using that a fraction is greater than or equal to zero when the numerator and denominator have the same sign:
a/b>=0. Then we have two cases:
Case 1) If the numerator is positive, the denominator must be positive too (at the same time):
if a>=0 ∩ b>0
Or (U)
Case 2) If the numerator is negative, the denominator must be negative too (at the same time):
if a<=0 ∩ b<0
In this case a=3x+8 and b=x-4, then:
Case 1):
if 3x+8>=0 ∩ x-4>0
Solving for x:
3x+8-8>=0-8 ∩ x-4+4>0+4
3x>=-8 ∩ x>4
3x/3>=-8/3 ∩ x>4
x>=-8/3 ∩ x>4
Solution Case 1: x>4 = (4, Infinite)
Case 2):
if 3x+8<=0 ∩ x-4<0
Solving for x:
3x+8-8<=0-8 ∩ x-4+4<0+4
3x<=-8 ∩ x<4
3x/3<=-8/3 ∩ x<4
x<=-8/3 ∩ x<4
Solution Case 2: x<=-8/3 = (-Infinite, -8/3]
Solution= Solution Case 1 U Solution Case 2
Solution = (4, Infinite) U (-Infinite, -8/3]
Solution: (-Infinite, -8/3] U (4, Infinite)
Answer:
c and f
Step-by-step explanation:
<span> 3/4-4z+5/4z-1/2+1/2z </span>Final result : 1 - 9z
——————
4
Step by step solution :<span>Step 1 :</span> 1
Simplify —
2
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<span>Equation at the end of step 1 :</span> 3 5 1 1
(((—-4z)+(—•z))-—)+(—•z)
4 4 2 2
<span>Step 2 :</span> 1
Simplify —
2
<span>Equation at the end of step 2 :</span> 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
<span>Step 3 :</span> 5
Simplify —
4
<span>Equation at the end of step 3 :</span> 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
<span>Step 4 :</span> 3
Simplify —
4
<span>Equation at the end of step 4 :</span> 3 5z 1 z
(((— - 4z) + ——) - —) + —
4 4 2 2
<span>Step 5 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 5.1 </span> Subtracting a whole from a fraction
Rewrite the whole as a fraction using <span> 4 </span> as the denominator :
<span> 4z 4z • 4
4z = —— = ——————
1 4 </span>
Answer:
A. $1
Step-by-step explanation:
The apples logically cost 2 dollars each.
2*3=6 Gives us the cost of 3 apples
The dollar left over is how much the juice will cost.
