Answer:
y = -(x+4)² +7
Step-by-step explanation:
I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.
... y = -(x² +8x) -9
Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
... y = -(x² +8x +4²) -9 +4²
... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms

factorising the first denominator
x²-2x-3 = x² -3x+x-3 = (x+1)(x-3)
(a) 
finding LCD
(b) LCD of (x-3)(x+1) and (x-3) is (x-3)(x+1)
(c)

(d)



True. To find average monthly income, multiply the net pay by the number of pay periods per year. Then, divide this yearly income by 12 months.
For example:
Daily wages:
Daily wages * 365 days = Total Wage
Total wage / 12 months = average monthly income
Weekly wages:
Weekly wages * 52 weeks = total wage
total wage / 12 months = average monthly income
The equation of the line that is // to the given equation MUST HAVE THE SAME SLOPE.
The slope of the hiven equation is the number next to x or 3.
See it?
We know the slope is 3 and one point is given.
We now use the point-slope formula to find the equation.
y - y_1 = m(x - x_1)
See picture. The answer is y = 3x - 7.