Your answer is (1,-3) up one left 3.
Answer:
Parameter
Step-by-step explanation:
Parameter is a value that summarizes the data/information about a population in its entirety while a statistics summarizes the data/information about a small part/sample of the population.
In this context the underlined 25% represents the parameter because the value is a numerical measurement describing a characteristic of a population which are the national high school students.
So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is
, with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
![x=\frac{-44}{2*(-16)}\\\\ x=\frac{-44}{-32} \\\\ x=1.375](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B-44%7D%7B2%2A%28-16%29%7D%5C%5C%5C%5C%20x%3D%5Cfrac%7B-44%7D%7B-32%7D%20%5C%5C%5C%5C%20x%3D1.375%20)
Now that we have the x-coordinate, plug it into x and solve for y:
![h(1.375)=-16*1.375^2+44*1.375\\ h(1.375)=16*1.890625+60.5\\ h(1.375)=30.25+60.5\\ h(1.375)=90.75](https://tex.z-dn.net/?f=%20h%281.375%29%3D-16%2A1.375%5E2%2B44%2A1.375%5C%5C%20h%281.375%29%3D16%2A1.890625%2B60.5%5C%5C%20h%281.375%29%3D30.25%2B60.5%5C%5C%20h%281.375%29%3D90.75%20)
In short, the maximum height is 90.75.
Answer:
16:1
Step-by-step explanation:
The ratio of the surface areas of the similar solids is the square of the lengths.
(4:1)²
4²:1²
⇒ 16:1
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch <u><em>x</em></u> and y and solve for <u><em>y</em></u>.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + <u><em>4</em></u>, where x >= <u><em>0</em></u>.