Answer:
2(x² - 2)(x² - 8)
Step-by-step explanation:
Given
2
- 20x² + 32 ← factor out 2 from each term
= 2( - 10x² + 32)
let u = x², then
- 10x² + 32 = u² - 10u + 32 = (u - 2)(u - 8)
change u back to x²
- 10x² + 32 = (x² - 2)(x² - 8) and
2 - 20x² + 32 = 2(x² - 2)(x² - 8) ← in factored form
Vietas formula tells us that the product of our two roots is equal to the constant term of a quadratic over the leading coefficient, so:
[tex] r_1r_2=-\frac{-10}{2} \implies 5*r_1=-5 \implies r_1=-1[\tex]
It also tells us that the b term in our quadratic is equal to the negative of the sum of the terms divided by the leading coefficient, so:
[tex] r_1+r_2=-\frac{b}{2} \implies 4=-\frac{b}{2} \implies b=-8 [\tex]
So, one of our roots is 5, the other is -1, and our b value is 8.
Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
i think it's 46 miles
Step-by-step explanation:
Answer:
C. Equilateral
Step-by-step explanation:
Every pair has equal angle
