Answer:
(-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)
Step-by-step explanation:
Using x^2 = z, the equation can be rewritten as ...
z^2 -12z +10 > 0
(z -6)^2 -26 > 0
|z -6| > √26
This resolves to two equations.
This one ...
x^2 -6 < -√26 . . . . substitute x^2 for z
|x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|
-√(6-√26) < x < √(6-√26)
__
and this one ...
x^2 -6 > √26
|x| > √(6 +√26)
x < -√(6 +√26) ∪ √(6 +√26) < x
Answer:
To find out the number coming from each school, you need to use the proportion of the school's population out of the population of all three.
Total population = 618 + 378 + 204
= 1,200 students
North Middle school:
= 618/1,200 * 20
= 10 students
Central Middle School:
= 378 / 1,200 * 20
= 6 students
South Middle School:
= 204/1,200 * 20
= 4 students
Answer:
The answer is 2
Step-by-step explanation:
Rate of change of function is given by :
For function y = 6,
rate of change =
because the function is independent of x.
For function y = 2·x + 7,
rate of change =
So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.
Answer:
2/5
Step-by-step explanation:
Probability is the chance that a certain event occurs out of the total events.
Here, the event of "choosing a blue card". The total events are just "choosing any card".
There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60: . Simplifying, we get:
Thus, the answer is 2/5.
Hope this helps!