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 the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= - 
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
= - 
= 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
The first one is your answer
Answer:
a) f(4) = 2(4) - 5 = 3
Step-by-step explanation:
First, we look at the function, and we see different domain restrictions.
We are given the value of 4. The first equation has a domain restriction which includes 4 as it has the line below the greater than sign.
So, the first equation must work.
So our answer is A.
Answer:
A ≈ 78.5
Your answer was wrong because it said to round to the nearest tenth.
Step-by-step explanation:
First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).
Area of a circle is:
A = πr²
A = π (5)²
Following PEMDAS (order of operations), you would do the exponent first:
A = π (25)
A ≈ 78.5
Answer:
The equation of <em>Z</em> is: 
Step-by-step explanation:
- The first child is of age 1 year.
Then the amount invested for the 1-year old is: 
- The second child is of age 3 years.
Then the amount invested for the 3-year old is: 
- The third child is of age 6 years.
Then the amount invested for the 6-year old is: 
The one-time investment will be:
