Let the first integer be x, then:-
2 (x + x+ 2) = 3(x + 6) + 14
4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28
the four integers are 28,30,32 and 34.
Answer:
28< 6
Step-by-step explanation:
34 < 6 + d
Subtract 6 from each side
34-6 < 6 + d-6
28< 6
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get

Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1

<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1

Thus you must travel at 42 mph for 4 hours
9514 1404 393
Answer:
9 ft, 22 ft, 23 ft
Step-by-step explanation:
Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:
54 = s +(2s +4) +(3s -4)
54 = 6s . . . . . . . . . . . . . . collect terms
9 = s . . . . . . . . . . divide by 6
2s+4 = 2·9 +4 = 22
3s -4 = 3·9 -4 = 23
The lengths of the three sides are 9 feet, 22 feet, and 23 feet.
Vertex is

and minimum value of f(x) is 12
Hope this helps