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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.
[3] [4] Expressions can be evaluated or simplified by replacing operations that appear in them with their result. For example, the expression 8 × 2 − 5 {\displaystyle 8\times 2-5} simplifies to 16 − 5 {\displaystyle 16-5} , and evaluates to 11. {\displaystyle 11.}
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
November 26, 2024 at 5:56 PM Shop the best QVC Black Friday sales — including Oprah's favorite jeans, kitchen and beauty bestsellers If you've been sleeping on shopping at QVC, it's time to wake up!
On Oct. 29, the company reported that revenue fell 10.5% year over year to $196.6 million in the most recent quarter. Net losses narrowed to $16.1 million, compared to a $23.7 million loss last year.
Produced by Fly By Jing and made in Chengdu, the Sichuan Chili Crisp hot sauce stands out for its bold, spicy flavoring that falls just short of being unreasonably hot.
[10] It was common into the 18th century to use an abbreviation of the word equals as the symbol for equality; examples included æ and œ , from the Latin aequālis. [10] Diophantus's use of ἴσ , short for ἴσος (ísos 'equals'), in Arithmetica (c. 250 AD) is considered one of the first uses of an equals sign. [11]