Answer:
The solution x > 10 can be represented in two ways such as:
- Interval Notation: (10, ∞)
- Inequality Notation: x > 10
Step-by-step explanation:
Let 'x' be the solution to the inequality
From the given line, it is clear that
x > 10
It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.
From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.
The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.
Thus, the solution x > 10 can be represented in two ways such as:
- Interval Notation: (10, ∞)
- Inequality Notation: x > 10
In quadrant two they’re both positive and in quadrant three they’re both negative I’m not 100% but that’s what I think
6/9 (if you divide both by 2) or 4/6 (if you divide both by 3) or 2/3( if you divide both by 6)
Answer:
Step-by-step explanation:
Let simplify x²+5x+6 and then we will compare it to (x+2)(kx+3)
Now,
x²+5x+6
Multiply the coefficient of x²(which is 1) to the constant(which is 6),
So, 1×6=6,
Now, we need to find the factor of 6
3×2=6, then, let add them, 2+3=5
Since the addition gave us the coefficient of x( which is 5)
Then, we can rewrite the expression as
x²+5x+6
x²+3x+2x+6
x(x+3)+2(x+3)
(x+3)(x+2)
Comparing this to (x+2)(kx+3)
We notice that
(x+3)=(kx+3)
Then, kx=x
Then, k=1
