Answer: 
Step-by-step explanation:
Given: The Holy Roman Empire was a group of regions in Central Europe that was held together by a political union. The Holy Roman Empire was formed in the year 962.
Let x represent any year.
Now, the inequality in terms of x and 962 that is true only for values of x that represent years before the year that the Holy Roman Empire formed is given by :-

Answer: At point (
)
Step-by-step explanation: <u>Diagonal</u> is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = 
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = 
(x,y) = 
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point
.
If f(x) = g(x), -3x+4 = 2, -3x = -2, x = 2/3
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1