<u>Answer:</u>
-4
<u>Step-by-step explanation:</u>
We are given the following expression which we are to solve:

Since this expression includes brackets as well has plus and minus signs, so we will follow the standard order of operations to solve this expression.
Solving the brackets first to get:

Now adding all the terms up to get:
-4
Average time of a commuter train trip from one town to the city = 77 minutes
Time taken by 1 trip = 71 minutes
Time taken by another trip = 74 minutes
Time taken by 3rd and 4th trip each = 78 minutes
Let us assume the time taken during the 5th trip = x
Then
(71 + 74 + 78 +78 +x)/5 = 77
301 + x = 77 * 5
301 + x = 385
x = 385 - 301
= 84 minutes
So the length of the fifth trip was 84 minutes. I hope the procedure is clear enough for you to understand.
Answer:
x = - 4, x = - 
Step-by-step explanation:
Given
3x² + 14x + 8 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 + 8 = 24 and sum = + 14
The factors are + 12 and + 2
Use these factors to split the x- term
3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )
3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term
(x + 4)(3x + 2) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 
If y varies inversely with x, then we know that:
y = k/x
We are given x and y, so plug in the numbers and solve for k.
1.5 = k/6.4
k = 1.5*6.4
k = 9.6