Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = x² - 6x + 3
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 3
= (x - 3)² - 6 ← in vertex form
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = 1 > 0, thus
(3, - 6 ) is a minimum
Answer:
3 inches
Step-by-step explanation:
⇒r3=36π×3/4π
or r3=27
Taking cube root of both sides
r=3 inch
Answer:
x^2 +3
Step-by-step explanation:
f(x) = 2x^2 + 2
g(x) = x2 – 1,
find (f – g)(X).
f(x) - g(x) = 2x^2 + 2 -( x^2 – 1)
Distribute the minus sign
= 2x^2 +2 -x^2 +1
= x^2 +3
Answer/Step-by-step explanation:
To solve the given expression, , the following steps as well as justification for each step is given below:
Step 1: state the given expression
(given)
Step 2: solve for x by subtracting 12.7 from each side of the equation.
Step 3: Apply the additive inverse rule and simplify (i.e the additive inverse of 12.7 is -12.7. when added, it gives us 0)
(additive inverse/simplification)
Step 4: additive identity rule (i.e. the 0 added to x = 0)
(identity property of addition)