Answer:
the second one
Step-by-step explanation:
- Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.
So firstly, plug the vertex into the vertex form: 
Next, we first need to solve for a. Plug (0,-6) into the equation to solve for a as such:

<u>Now we know that our equation is y = 3(x - 1)^2 - 9.</u>
Now to solve for the zeros (x-intercepts). Set y to 0 and add 9 to both sides of the equation: 
Next, divide both sides by 3: 
Next, square root both sides: 
Next, add 1 to both sides: 
<u>Your x-intercepts are (-0.73,0) and (2.73,0), or B.</u>
Answer:
= 18
Step-by-step explanation:
= 
Cross multiply
5 * c = 30 * 3
5c = 90
Divide both sides by 5
c = 90/5
c = 18
Answer:(lxl)x(wxw)
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
=
← in factored form