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:
Required logarithmic function is :
Step-by-step explanation:
We have been fiven that table for the logarithmic function is:
x f(x)
9 2
27 3
81 4
which can be rewritten as:
x f(x)
3^2 2
3^3 3
3^4 4
Which are basically powers of 3
So we can use logarithmic function as
Hence required logarithmic function is :
Answer:
Step-by-step explanation:
Let the width be W.
14w=(8*10)
14w=80
The width of the frame needs to be at least 5.7 inches.
Large rectangles = 2*3*6
medium rectangles = 2*2*6
small rectangles = 2*2*3
surface area = 72 cm^2
I'm thinking the answer would be 6 because I divided 72 by 12.
