The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
For two night in the hotel, you would pay $333 (including tax)
Step-by-step explanation:
Without tax, the price for 2 nights would be $150 times 2. So the price without tax would be....
$150 x 2 = $300
But then we have to be aware of 11% tax so we would multiply the price for two nights by 1.11 and get...
$300 x 1.11 = $333
Answer:
x-5
Step-by-step explanation:
What is the opposite of multiply? division. 63÷9=7
7 is your answer
Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : 
, use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider 
= u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ; = -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .
