Answer:
Step-by-step explanation:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.
Answer:
The required division problem he must solve is:

Step-by-step explanation:
Consider the provided information.
Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.
As we know that the quotient of the number is a negative number.
Therefore, the sign of both numbers must be different,
Thus we can concluded he must select
as one of the card, so that product is a negative number.
Let the selected card be x.

Hence, the two cards should be
and 
The required division problem he must solve is:

Answer: 
Step-by-step explanation:
Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.
Let x be the number of hours , then the total cost to create the logo plus is given by :-

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.
The total cost to develop logo plus is given by :-

The equation to represent the costs would be the same is given by :_

Explanation:
Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.
If 'your sister' completes the text with negative y-value, the point would be in Q3.
If 'your sister' completes the text with positive y-value, the point would be in Q2.