Algebra

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It seems like your question is incomplete. To solve an inequality involving 12, you'll need to specify what the inequality is (e.g., (12 < x), (12 \geq 3x), etc.). Once you provide the complete inequality, I can guide you through the solution process!

To solve the quadratic equation (2x^2 + x - 60 = 0), you can use the quadratic formula (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}), where (a = 2), (b = 1), and (c = -60). Plugging in these values gives (x = \frac{-1 \pm \sqrt{1 + 480}}{4} = \frac{-1 \pm 22}{4}). This results in two solutions: (x = \frac{21}{4}) and (x = -\frac{23}{4}).

The numeric value of 25000 is simply twenty-five thousand (25,000).

The expression "5x 15 2x 7" seems to be missing operators. If we interpret it as "5x * 15 * 2x * 7," then we can multiply the coefficients and the variable terms. The result would be ( 5 * 15 * 2 * 7 \cdot x^2 = 1050x^2 ). If you meant something different, please clarify!

To identify linear functions and equations, look for a constant rate of change between the variables, which means the graph will form a straight line. The general form of a linear equation is (y = mx + b), where (m) is the slope and (b) is the y-intercept. Additionally, the function must not have variables raised to any power other than one, nor should it include products of variables or any non-linear terms. If the relationship between the variables can be expressed in this form, it is a linear function.

An expression containing a base and an exponent is a mathematical representation where a number (the base) is multiplied by itself a certain number of times indicated by the exponent. For example, in the expression (3^4), 3 is the base and 4 is the exponent, meaning (3) is multiplied by itself (4) times (i.e., (3 \times 3 \times 3 \times 3)). This results in a value of (81). Such expressions are commonly used in algebra and various scientific fields.

A subset relation refers to the relationship between two sets where one set is entirely contained within another. If set A is a subset of set B, every element of A is also an element of B, which is denoted as ( A \subseteq B ). If A is a proper subset, meaning it contains some but not all elements of B, it is denoted as ( A \subset B ). Subset relations are fundamental in set theory and help in understanding the structure and hierarchy of sets.

To enter fractions on a TI-84 Plus Silver Edition, you can use the fraction template feature. Press the "Alpha" key, followed by the "Y=" key to access the fraction templates. Select the fraction template (n/d) and input the numerator and denominator accordingly. Alternatively, you can also enter a fraction using division; for example, type 1/2 directly into the calculator.

To factor the expression (3x^2 + 28x + 32), we look for two numbers that multiply to (3 \times 32 = 96) and add to (28). The numbers (24) and (4) fit these criteria. Therefore, we can rewrite the expression as (3x^2 + 24x + 4x + 32) and factor by grouping to get (3x(x + 8) + 4(x + 8)), which simplifies to ((3x + 4)(x + 8)). Thus, the factored form is ((3x + 4)(x + 8)).

The letters "x" and "y" often represent variables in mathematics and science, commonly used in algebra to denote unknown values in equations. In the context of Cartesian coordinates, "x" typically represents the horizontal axis, while "y" represents the vertical axis. Additionally, they can symbolize different quantities in various fields, such as economics, physics, and statistics. Their specific meanings can vary based on the context in which they are used.

The line of an equation on a coordinate plane represents the set of all points (x, y) that satisfy the equation. Each point on the line corresponds to a specific x-value and its associated y-value, illustrating the relationship between the two variables. The slope of the line indicates the rate of change of y with respect to x, while the y-intercept shows where the line crosses the y-axis. Together, these characteristics define the behavior and direction of the line.

The given notation "3a - 14 4" seems to be incomplete or incorrectly formatted. However, if we interpret it as "3a - 14 = 4," then it is an equation because it includes an equal sign. If it lacks the equal sign, such as "3a - 14," it is simply an expression.

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The equation ( y = ax + b ) is considered a linear equation because it represents a straight line when graphed on a coordinate plane. In this equation, ( a ) is the slope, which indicates the steepness of the line, while ( b ) is the y-intercept, the point where the line crosses the y-axis. The relationship between ( x ) and ( y ) is linear, meaning that for every unit increase in ( x ), ( y ) changes by a constant amount determined by ( a ). Thus, it satisfies the definition of linearity.

4/(-)2 =

Cancel down by '2'

Hence

2/(-)1 =

-2 The answer!!!!!

The function ( f(x) = 2x^3 + 2x^2 - x ) is a cubic polynomial, which means it has a degree of 3. This indicates that its graph will have the general shape of a cubic curve, potentially exhibiting up to two turning points. The leading coefficient is positive, implying that as ( x ) approaches positive or negative infinity, the function will rise towards positive infinity. Additionally, the function may have one or more x-intercepts, which can be determined by finding the roots of the polynomial.

It seems there might be a typo in your question. If you mean "cos A = 514," that value is not possible since the cosine function ranges from -1 to 1. If you provide a different value or clarify the question, I can help you find the value of ( x ).

It seems there may be a typographical error in your equation. If you meant to write (5(-x + 2) = 22), the first step would be to distribute the 5, resulting in (-5x + 10 = 22). From there, you can isolate (x) by moving 10 to the other side and solving for (x). If this is not the equation you intended, please clarify for further assistance!

The square root of 81 is 9, and the square root of 49 is 7. Therefore, the square root of 81 over 49 can be expressed as (\sqrt{\frac{81}{49}} = \frac{\sqrt{81}}{\sqrt{49}} = \frac{9}{7}). So, the answer is (\frac{9}{7}).

Branula, a type of marine polychaete worm, primarily functions in filtering and feeding. Its specialized structure, known as a branchial crown, consists of numerous feathery appendages that capture microscopic food particles from the water. Additionally, branula plays a role in the ecosystem by contributing to the benthic community and serving as a food source for various predators.

Capillaries are small blood vessels that connect arterioles and venules, playing a crucial role in the circulatory system. Their primary function is to facilitate the exchange of oxygen, carbon dioxide, nutrients, and waste products between the blood and surrounding tissues. The thin walls of capillaries allow for efficient diffusion, ensuring that cells receive the necessary substances while removing metabolic waste. This exchange process is essential for maintaining homeostasis and overall tissue health.

The expression "0.5 plus n5 and gt (-0.5)" seems to be a combination of numerical addition and a comparison operation. If we interpret "n5" as a variable, the expression can be simplified to 0.5 + n5 > -0.5. This indicates that the sum of 0.5 and the value of n5 should be greater than -0.5. For a specific solution, the value of n5 must be greater than -1.

To effectively address their problem, they implemented a comprehensive strategy that involved analyzing the root causes, engaging stakeholders for feedback, and developing a targeted action plan. This plan included specific initiatives aimed at improving efficiency and resource allocation. They also established regular monitoring and evaluation mechanisms to ensure the solution's effectiveness over time. Ultimately, this collaborative approach led to sustainable improvements and enhanced outcomes.

An equation with an exponent of 2 is a quadratic equation, which typically takes the form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants and ( a \neq 0 ). An example of such an equation is ( 2x^2 - 4x + 1 = 0 ). Quadratic equations can be solved using methods like factoring, completing the square, or the quadratic formula.