Answer:
<u>Given :</u>
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Answer:
4.8 miles per hour.
Step-by-step explanation:
Average speed=Total distance/Time taken
=26.2miles/5.5hour
=4.8 miles per hour
Answer:
34
Step-by-step explanation:
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
D) because “y is” means “y equals” leaving only 2 choices, and it said “6 less than the independent variable, 6. (Y=6-x)
