We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope
Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope
2. We must replace the slope and one of the points in the next formula
Now, replacing the slope and the point (2, 11)
3. We must delete the parenthesis and solve the equation for y
ANSWER:
Answer:
here this should help you understand.
Step-by-step explanation:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:completing-square-quadratics/v/completing-the-square-to-solve-quadratic-equations
Answer: -7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² × 49 = 49ײ
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .
49x² = 7x × 7x and the sum gives 14x the middle terms..
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x(x + 7) + 7(x + 7) = 0
(x + 7)(x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = -7twice.
The root of the equation = -7twice.
Answer:
You keep them if you test 3 and all pass.
There are 18 good ones and 6 bad (making 24)
Chance of first passing is 18/24
If it passes, there are now one less good and one less total.
Chance of second passing is 17/23
If it passes, there are now one less good and one less total.
Chance of second passing is 16/22
Total is (16 x 17 x 18) / (22 x 23 x 24) = about 0.4 (0.403162055 is you really want to know).
So probability all are ok is 0.4
Thus probability you find at least one bad one is 0.6
Hope this helps you out!
