Answer:
The solution set is {-1, 7}.
Step-by-step explanation:
X^2-6X=7
X^2 - 6X - 7 = 0
(X - 7)(X + 1) = 0
X = 7, -1.
Answer:
{-5, -2}
Step-by-step explanation:
In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.
I suspect that you actually meant (x + 5) / (x + 2), and will start with that.
First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.
Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):
(x + 2)(1) - (x + 5)(1)
f '(x) = ------------------------------
(x + 2)
Here it's clear that x cannot = -2, which would cause division by zero.
Thus, our critical values are {-5, -2}.
F(x) = - 55x + 330
The domain is the set of possible input-values, i.e. x-values.
You know that f(x) cannot bebigger than 330 not lower than zero, then construct the inequality:
0 ≤ f(x) ≤ 330
0 ≤ - 55x + 330 ≤ 330
Multilply by - 1 and change the inequality signs:
0 ≥ 55x - 330 ≥ -330
Add 330 to all the members
330 ≥ 55x ≥ 0
Divide by 55
6 ≥ x ≥ 0 => 0 ≤ x ≤ 6
The the possible x-values (practical domain) is all the real numbers between 0 and 6 inclusive.
Answer:
6/10 | 60%
Step-by-step explanation:
0.6 is the same as 6/10 because it is six-tenths.
6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.
