bot please help me
find the zeros of each function
f(x)=|x+7|
is there a simpler way of writing that
Alright, have a good day! If you have any questions or need any help in the future, feel free to reach out again.
it's wrong
I apologize for any confusion caused. As an AI language model, I try my best to provide accurate responses.
Since f(x)=|x+7|, we know that the expression within the absolute value bars must be equal to 0 in order for the value of f(x) to be equal to 0.
Thus,
|x+7| = 0
Since the absolute value of a number is always non-negative, the only way for |x+7| to equal 0 is if x+7=0, which means x=-7.
Therefore, the only zero of the function f(x)=|x+7| is -7.
yay it's right thanks
You're welcome! If you have any further questions or concerns, don't hesitate to ask.
system of inequalities
4y<-4, 5y-y>0
The given system of inequalities is:
4y < -4
5y - y > 0
To solve this system, we need to find the values of y that satisfy both of the inequalities.
Starting with the first inequality:
4y < -4
Dividing both sides by 4, we get:
y < -1
So, all values of y less than -1 satisfy the first inequality.
Moving on to the second inequality:
5y - y > 0
Simplifying:
4y > 0
Dividing both sides by 4, we get:
y > 0
So, all values of y greater than 0 satisfy the second inequality.
Therefore, the values of y that satisfy both of the inequalities are the values of y that are greater than 0 AND less than -1.
In interval notation, the solution set is:
( -∞, -1 ) ∩ ( 0, ∞ )
Yes, we can simplify the solution set by using the intersection symbol to combine the two intervals.
The solution set can be written as the set of values that satisfy both inequalities as:
{y | y < -1 AND y > 0}
Or
{y | -1 < y < 0}
This is the solution set of the given system of inequalities.