Answer:
w < 0.6
Step-by-step explanation:
In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.
7w - 5 < 1 - 3w
Inverse operations,
7w - 5 < 1 - 3w
+3w +3w
10w - 5 < 1
+5 +5
10w < 6
/10 /10
w < 0.6
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 1, 4 ] , then
f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36
f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then
average rate of change =
=
=
= - 6
.5 as a decimal and 50% as a percent
For this case we have the following quadratic functions:
Revenue: 
Cost: 
Then, we observe that the profit is given by the following mathematical relationship:

Substituting values we have:

Making the corresponding calculations we have:

Answer:
An expression that represents the profit is:
