- 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: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Answer:
A=38.88 or 38.9
Step-by-step explanation:
If both are similar then the 9 and the 7.2 are the same
9-7.2= 1.8
9x6=54
7.2-1.8=5.4
7.2x5.4=38.88 or 38.9
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
Answer:
the answer is 2 because they are the same angles
