Answer: The correr solution is 
Step-by-step explanation:
Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:
Firstly, in the left part of the equation we have to multiply 
by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:
Adding similar terms in the left side and multiplying 
by the number inside the parenthesis in the right side:
Isolating 
:
This is the correct solution
Answer:
14
Step-by-step explanation: hope this helps :)
Answer:
Negative
Step-by-step explanation:
Let's solve your inequality step-by-step.
x
6
+
8
>
2
Step 1: Simplify both sides of the inequality.
1
6
x
+
8
>
2
Step 2: Subtract 8 from both sides.
1
6
x
+
8
−
8
>
2
−
8
1
6
x
>
−
6
Step 3: Multiply both sides by 6.
6
*
(
1
6
x
)
>
(
6
)
*
(
−
6
)
ANSWER :
x > −36
Your function f(x)=(x^(1/3))(x+4)
What your going to want to do first is calculate your first derivative.
You will want to use both the power rule and the product rule.
f '(x)=(x+4)/x^(2/3)+x^(1/3)
f '(x)=4/3(x^(-2/3))(x+1)
Now find the critical numbers
4/3(x^(-2/3))=0 x+1=0
x=0, x=-1
Now plug numbers on the intervals (-infinity, -1),(-1,0) and (0,infinity) into the derivative of your function. The numbers I would choose are -2, -1/2 and 1.
Since f '(-2) is negative, f '(-1/2) is positive and f '(1) is positive, (-1,-3) and (1,5) are relative extrema. This means that the function f(x)=(x^(1/3))(x+4) is increasing on the interval (-1,0) U (0,infinity).
