Answer:
Step-by-step explanation:
Yes the company can hire 6 carpenters and 12 pumbers
So first lets find out how much it costs to have 6 carpenter for $220 a day.
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day.
Now lets find how much it cost to 12 plumbers at $260 a day.
$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
The total amount you have to pay to the workers is:
$3120 + $1320 = $4440
Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.
Alright remember, if any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
k+1=0
k-5=0
Set the first factor equal to 0 and solve
k=-1
Set the next factor equal to 0 and solve
k=5
The final solution is all the values that make (k+1)(k-5)=0 true.
k=-1, 5
Hope this helped you out :)
Answer:
-5.457875
Step-by-step explanation:
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if 
here;
Thus;
∴
Hence, we can conclude that r(t) and s(t) are parallel.
