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!!!
The pattern
5 10 3 15 20 13 25 30....
the next number is
23 because after each 2 numbers its +10
Hope this helps,
xXharleyquinn04Xx
Answer:
117
Step-by-step explanation:
Sum of all the angles of a triangle is 180
Let the third angle be 'x'
41 + 22 + x = 180
63 + x = 180
x = 180 - 63
x = 117
Answer:
The installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Step-by-step explanation:
Consider the provided information.
Let x is the installations at the Maumee branch take more than 30 minutes.
The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.
Therefore, π=0.20
The Maumee branch installed 50 mufflers last month.
Thus, n=50
Mean of the distribution: μ=nπ
Substitute the respective values in the above formula.
μ=(50)(0.20)
μ=10
Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.
We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
