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The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
For example, taking the statement x + 1 = 0, if x is substituted with 1, this implies 1 + 1 = 2 = 0, which is false, which implies that if x + 1 = 0 then x cannot be 1. If x and y are integers, rationals, or real numbers, then xy = 0 implies x = 0 or y = 0. Consider abc = 0. Then, substituting a for x and bc for y, we learn a = 0 or bc = 0.
The New International Version Inclusive Language Edition (NIVi) of the Christian Bible was an inclusive language version of the New International Version (NIV). It was published by Hodder and Stoughton (a subsidiary of Lagardere Publishing ) in London in 1995; New Testament and Psalms, with the full bible following in 1996.
The New International Reader's Version (NIrV) is a translation of the Bible in contemporary English. Translated by the International Bible Society (now Biblica) following a similar philosophy as the New International Version (NIV), but written in a simpler form of English, this version seeks to make the Bible more accessible for children and people who have difficulty reading English, such as ...
The TNIV text is used without chapter and verse divisions. Section headings are removed and footnotes are moved to the end of each book. The books are presented in an alternate order, and longer works that were divided over time are restored to their original unity. (For example, 1 and 2 Samuel and 1 and 2 Kings were originally a single book.
For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2(y + 1) – 1, a true statement. It is also possible to take the variable y to be the unknown, and then the equation is solved by y = x – 1.
The New International Version (NIV) is a translation of the Bible into contemporary English. Published by Biblica, the complete NIV was released on October 27, 1978 [6] with a minor revision in 1984 and a major revision in 2011. The NIV relies on recently-published critical editions of the original Hebrew, Aramaic, and Greek texts. [1] [2]
The NIV Study Bible is a study Bible originally published by Zondervan in 1985 that uses the New International Version (NIV). Revisions include one in 1995, a full revision in 2002, an update in October 2008 for the 30th anniversary of the NIV, another update in 2011 (with the text updated to the 2011 edition of the NIV), and a fully revised update in 2020 named "Fully Revised Edition". [1]