Answer: x = 8
Step-by-step explanation: 1/4(x+12)=5 is the same as 1/4x + 3 = 5. 1/4 of 8 is 2. 2+3=5.
Answer:
--- Objective function
Interval = 
Step-by-step explanation:
Given
Represent the number with x
The required sum can be represented as:
Hence, the objective function is:
To get the the interval, we start by differentiating w.r.t x
<em>Using first principle, this gives:</em>
Equate S'(x) to 0 in order to solve for x
Subtract 1 from both sides
Multiply both sides by -1
Cross Multiply
Take positive square root of both sides because x is positive
Representing x using interval notation, we have
Interval =
To get the smallest sum, we substitute 1 for x in
<em>Hence, the smallest sum is 2</em>
Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.
Answer:
Dale live 315 miles from the mountains
Step-by-step explanation:
Let y be the speed of Dale to the mountains
Time taken by Dale to the mountains=7 hrs
Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1
Time taken by Dale back home = 5hours
Since it speed increased by 18 miles per hour back home it speed = y+18
So distance traveled home =speed × time = (y+18)5 ...... eqn 2
Since distance cover is same in both the eqn 1 and eqn 2.
Eqn 1 = eqn 2
7y = (y+18)5
7y = 5y + 90
7y - 5y = 90 (collection like terms)
2y = 90
Y = 45
Substitute for y in eqn 1 to get distance away from mountain
= 7y eqn 1
= 7×45
= 315 miles.
∴ Dale leave 315 miles from the mountains
Answer:
3/8 is smaller
Step-by-step explanation:
because it not have of 8 as for 1/2 is half so your answer is 3/8
