Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Answer:
Step-by-step explanation:
Given
Average score is less than 26
Required
Determine the null and alternate hypothesis
Since the average is said to be less than 26; that represents the alternate hypothesis.
The null hypothesis will be:
So, we have:
And the alternate hypothesis
Answer:
210x=3717
x-3717/210
x=7.7 gal1
Step-by-step explanation:
Answer:
I'm going to list the answers below in the explanation.
Step-by-step explanation:
JL = 36 False
ML = 36 True
MP = 48.5 Not enough info
Angle JLK = 102 True
Angle PNK = 102 False
MP || PK False
The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!
Good luck and I hope this helps.
So for this, we have to solve the inequality so that the x variable is isolated. Firstly, add 4 to all sides of the inequality:
Next, divide all sides by 2, and <u>your final answer should be , or the second option.</u>