Answer:
f(x) = x³ - x² - 4x + 4
Step-by-step explanation:
Given the zeros of a polynomial say x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and
f(x) is the product of the factors
here x = 1, x = - 2, x = 2, hence
(x - 1),(x + 2), (x - 2) are the factors and
f(x) = a(x - 1)(x + 2)(x - 2) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x - 1)(x² - 4)
= x³ - 4x - x² + 4
= x³ - x² - 4x + 4 ← in standard form
A great circle is a section of a sphere that passes through its center. If the earth were a sphere, a great circle would be the equator and its axis would be the line connecting the geographic north and south pole. The length of the axis is then equal to the diameter of the sphere. For this problem, the radius of the sphere is 12 inches. A section is formed by slicing through the sphere and all sections of a sphere are circles. Considering the plane to be cut above and parallel with the equator (which is a great circle), the distance of the plane from the center of the sphere would then be the distance between the centers of the sphere and section. It is also given that the radius of the section is 9 inches. A right triangle is formed by connecting the center of the sphere, an edge of the section, and back to the center of the sphere whose hypotenuse is 12 inches (radius of the sphere), one leg is the 9 inches (radius of the section), and another leg is the distance of the plane from the sphere's center. Thus, the distance can be calculated using the Pythagorean theorem, d = sqrt(12^2 - 9^2) = sqrt(144 - 81) = sqrt(63) = 3*sqrt(7).
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Answer:
14 weeks. the equation would be a.
Step-by-step explanation:
120-50=70 70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.
Answer:
9$ per hour
Step-by-step explanation:
if its 54 dollars in 2 days all you have to do is add the total of hours togther and divided it sk it would be 54 divided by 6 because that is the total of hours in 2 days. which gets you 9 dollars per hour
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)
P is the distance between the vertex and either the directrix or focus, in this case p = 1.
a = 1/(4p) or 1/(4*1) or 1/4
write the equation in vertex form
y = a(x-h)^2 + k
y = 1/4(x-8)^2 -7
