Write and solve an equation of ratios:
900 students 45 teachers
------------------ = -----------------
x 110 teachers
Cross multiplying, we get (900)(110) / 45, or
so x = # of students in the high school = 2200 (answer)
<span>50-8t<90
50-90<8t
-40<8t
8t>-40
t>-5
Solutions should go to the right.
Mary probably was solving it as following
</span>50-8t<90
<span>-8t<90-50
-8t<40 (here, when she divided both sides by -8, she had to change sign < to the sign >)
But she did not change the sign, and got
t<-5
</span>
1. Functions of the form f(x)=ax+b, where a is non zero, are called "linear functions" and the graphs of them are inclined lines.
2. If a>0, the line is increasing, so it gets higher as we move x to the right
If a<0, the line is decreasing.
3. There is no x we are not allowed to plug in the function: so Domain = all Real numbers
4. Since the lines are either increasing or decreasing, f(x), represented by the y values, take all values from -∞ to +∞. So Range = all Real numbers.
f(x)=4x (increasing line, 4>0) ,
g(x)=-x+4, h(x)=-4x (decreasing lines, -1<0, -4<0)
all f, g, h have Domain AND Range : All real numbers
Answer:
C) involuntary and fixed
Step-by-step explanation:
