Answer:
n = 2
Step-by-step explanation:
1.2n - 1.5 = 0.45n
collect like terms
1.2n - 0.45n = 1.5
0.75n = 1.5
divide both side by 0.75
0.75n/0.75 = 1.5/0.75
n =2
That "|x + 2|" indicates that the vertex of the most basic absolute value function, y=|x|, has been shifted 2 units to the left. That "+4" indicates that the vertex has been shifted 4 units up. Thus, the vertex of f(x)=|x+2|+4 is (-2,4).
y = x² - 12x + 8
First step is to move the 8 to the other side by subtract 8 from both sides. This gives you:
y - 8 = x² - 12x
Now we complete the square. Divide the b term (in this case 12) by 2, then square the result. You will then add that square to both sides. This gives you:
y - 8 + 36 = x² - 12x + 36
Combine like terms and factor:
y + 28 = (x - 6)²
y = (x - 6)² - 28. Option A should be your answer.
Answer:
51
Step-by-step explanation: