Solve for x.
(3x+1)2-100=0
(3x+1)2=100
3x+1=100/2
3x=50-1
x=49/3
x=16.33333
Hope that helps. If you have any other questions feel free to ask me
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Step-by-step explanation:
- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.
P (A & B) = P (B & C) = P (A & C) = 0
- In our case these events A,B, and C can be defined as:
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
We know that
Applying the law of cosines:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a,b and c are sides of the triangle and C is the angle opposite side c </span>
<span>that is </span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>solve for C </span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500-57,600-40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)--------> C=38.53°°
<span>hence, </span>
<span>he should turn in the direction of island b by
180 - 38.53 </span><span>= 141.47 degrees</span>
Answer:
The graph attached has a solution. As you can see, the parabolic function DOES intercept the line at (0, 3). Therefore, the solution to that sytem of equation is the point (0, 3).
A system of equations has no solutions when their graphs do NOT meet at any point.
The first commision would be $60, on top of the $3000 to buy the shares. The second commision would be $45, with a $4500 sale point. So $4500 - $3105 = $1395 is the profit.
