Answer:
9.6 cm
Step-by-step explanation:
Answer:
Correct answer: y = 2x ( ㏑x² + 1)
Step-by-step explanation:
We will use the product rule for this derivation
Let be x² = U and ㏑x² = V
Product rule is:
dy = dU · V + U · dV
y = 2x · ㏑x² + x² · 1/x² · 2x = 2x · ㏑x² + 2x = 2x ( ㏑x² + 1)
y = 2x ( ㏑x² + 1)
God is with you!!!
Answer: the distance traveled on the return trip is 70 miles.
Step-by-step explanation:
Let d represent the distance travelled along the side streets.
Let t represent the time spent travelling along the side street
Traveling the side streets, she avaraged 20 mph.
Distance = speed × time
Therefore, distance travelled along the side streets is
d = 40t
On the return trip, Rob's truck took the freeway, averaging 50 mph. The freeway distance is 2 miles less than the distance on the side streets and they saved 24 minutes(24/60 = 0.4 hours). It means that the distance travelled on the return trip is (d - 2) miles and the time spent is
(t - 0.4) hours. Therefore
d - 2 = 50(t - 0.4)
d - 2 = 50t - 20 - - - - - - - - - - -1
Substituting d = 40t into equation 1, it becomes
40t - 2 = 50t - 20
50t - 40t = - 2 + 20
10t = 18
t = 18/10 = 1.8
d = 40t = 40 × 1.8
d = 72
The distance on the return trip is
72 - 2 = 70 miles.
Yesterday's price of notebook = $3.45
Today's price of notebook = $3.20
We have to determine the percentage decrease in the cost of notebook.
Percentage decrease = (Decrease Old price)
So, percentage decrease =
=
= 7.246%
= 7.25%
Therefore, there is 7.25% of decrease in the cost of the notebook.
Answer:
x=131/21
y=-23/21
Step-by-step explanation:
<u>Given:</u>
5x+2y=29
8x-y=51
<u>Eliminate y variable and solve for x:</u>
5x+2y=29
+ 16x-2y=102
_________
21x=131
x=131/21
<u>Plug x into either original equation and solve for y:</u>
5x+2y=29
5(131/21)+2y=29
655/21+2y=29
655/21+2y=609/21
2y=-46/21
y=-46/42
y=-23/21