Answer:
A
Step-by-step explanation:
- 
(x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )
- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1
- x - 3 > 2x - 6 ( subtract 2x from both sides )
- 3x - 3 > - 6 ( add 3 to both sides )
- 3x > - 3
divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x < 1
Answer:
Step-by-step explanation:
7. The horizontal translation is 3 units to the right, this is determined by the value that is being added or subtracted to x directly. In this case, x is being subtracted by 3 meaning that it is translated 3 units to the right.
8. It is being translated 2 units up. This is determined by the number that is added to the quadratic equation. In this case, it is increased by 2 which means an upward translation. If it was being subtracted it would be a downward translation.
9. Yes, when a quadratic equation has a negative sign outside of it which changes its values it means that it is being reflected.
Answer:12
Step-by-step explanation:
Given
Balthazar,Rudy,Jebediah and Ezekiel in a single-File line to pull sleigh
Jebediah and Ezekiel Stay together
i.e. we need to arrange three person considering Ezekiel and jebediah as Single person
therefore 3 person can be arrange in 3! ways =6
and also Ezekiel and Jebediah can be arranged in 2 ways
Therefore a total of 
ways are possible
Step-by-step explanation:
The domain of f(x) = -6x^2 - 10x + 13 is all real values.
For the range f(x) = -6x^2 - 10x + 13 written in vertex form is -6(x^2 + 5/3x - 13/6) = -6(x^2 + 5/3x + 25/36 - 13/6 - 25/36) = -6(x + 5/6)^2 - 6(-103/36) = -6(x + 5/6)^2 + 103/6
Range is all real values less than or equal to 103/6
