Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Answer:
2
6
6
2
3
3
3
3
2
8
0
8
8
5
2
4
3
9
0
4
+
1
Step-by-step explanation:
The discount price will be 0.8X dollars.
Step-by-step explanation:
Given,
Price of an item = X dollars
Discount = 20%
Amount of discount = 20% of Price of item
Amount of discount =
Price of item after discount = Price of item - Amount of discount
Price of item after discount = X-0.2X = 0.8X dollars
The discount price will be 0.8X dollars.
Keywords: discount, subtraction
Answer:
1 / 18
Step-by-step explanation:
In a roll of two dice :
Number of faces on a dice = 6
Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36
Total possible outcomes = 36
Required outcome = sum of 11
11 = {(5,6) ; (6, 5)}) = 2 possibilities
Probability = required outcome / Total possible outcomes
P(obtaining a sum of 11) = 2 / 36 = 1/18
