For this case we have the following inequality:
We multiply both sides of the equation by -1.
By doing this, change the symbol of the inequality.
We have then:
From here, we clear the value of x.
We have then:
Answer:
The solution set is:
{x | x R, x < -12}
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!
We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:
p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)
We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270
I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:
2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;
2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:
2c + 4p = 270
-2c -2p = -200
___________
2p = 70
Divide both sides by 2:
p = 35
Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:
c + 35 = 100
Subtract:
c = 65
There are 35 pigs and 65 chickens
-T.B.
Answer:
B (second table in list)
Step-by-step explanation:
The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is 
.
The domain is not restricted and it is all real numbers.
The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.
This means the domain of the inverse is 
and the range of the inverse is all real numbers.
Answer:
71
Step-by-step explanation:
in a triangle all the angles together equal 180°. So all you have to do is add 43 + 66=109 and then subtract that from 180
