Answer:
27 is 80% of 33.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the Quadratic formula:
You can identify that, in this case:
Now you need to substitute these values into the formula:
Remember that:
Therefore,rewriting and simplifying, you get:
Then, you get the following roots:
Answer:
12x + 50
Y - intercept = 50
Slope = 12
Step-by-step explanation:
The y - intercept represents the original registrational fee even if you have never taken lessons.
The slope represents what you have to pay every time you take a lesson.
Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
