Answer:
All real numbers greater than 0
Step-by-step explanation:
When you look at y = log (2) x
Base 2, exponent y.
x = 2^y
x can only be a positive number.
Answer: C
Step-by-step explanation:
Bcuz when its square it results to something known as the perfect square trinomial. Thats the way i learned it. Ion know if u learned it the same way pero i hope this helps.
Answer:
C. y<3
Step-by-step explanation:
We are required to determine the solution set of the inequality
Step 1: Add 9 to both sides
Step 2: Divide both sides by 15
The solution set of the given inequality is: y<3.
The correct option is C.
Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± = ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )