Algebra

A multi-step equation that equals 10 could be (3x + 4 = 10). To solve for (x), you would first subtract 4 from both sides, resulting in (3x = 6). Then, divide both sides by 3, giving (x = 2). Thus, the equation (3(2) + 4 = 10) confirms that it equals 10.

The equation of a parabola that opens downward can be expressed in vertex form as ( y = a(x - h)^2 + k ), where ((h, k)) is the vertex. For a vertex at (-11, -28), the equation becomes ( y = a(x + 11)^2 - 28 ). The value of ( a ) must be negative to ensure the parabola opens downward. For example, if ( a = -1 ), the equation would be ( y = -(x + 11)^2 - 28 ).

The square root of 182 in radical form is expressed as (\sqrt{182}). This can be simplified further since 182 can be factored into 91 and 2, and 91 can be further factored into 7 and 13. Thus, (\sqrt{182} = \sqrt{2 \times 7 \times 13}), and it cannot be simplified further into simpler radical components.

To find the speed, you can use the formula: speed = distance/time. If it took 3 hours to travel 90 miles, the speed would be 90 miles divided by 3 hours, which equals 30 miles per hour. Therefore, you would be traveling at a speed of 30 mph.

To determine the order of operations when solving an equation, you can follow the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This guideline helps ensure that calculations are performed in a consistent manner. Additionally, when dealing with equations, isolating the variable often requires performing inverse operations in reverse order of operations. Always check the equation carefully to identify any specific structures, like parentheses, that dictate the sequence.

In a function, the possible values for ( y ) are called the range. The range consists of all the output values that the function can produce based on its domain, which is the set of possible input values. Understanding the range helps to determine the behavior and limitations of the function.

To find the equation of the line in slope-intercept form (y = mx + b) passing through two points, you first need to calculate the slope (m) using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Once you have the slope, use one of the points to solve for the y-intercept (b) by substituting the x and y values into the equation. Finally, rewrite the equation in the form y = mx + b. Without the specific coordinates of the points, I can't provide the exact equation.

Let the integer be 'x'

Hence

-20/x = 4

Algebraically rearrange

-20/4 = x

x = -5

To identify domain restrictions for a given equation, you should look for values that would make the equation undefined. Common restrictions arise from denominators (which cannot be zero) and square roots (which require non-negative values). Additionally, consider any logarithms, as their arguments must be positive. Analyzing these components will provide the necessary domain restrictions.

Graphing the answers to inequalities helps visualize the range of solutions that satisfy the inequality, making it easier to understand the relationship between variables. It provides a clear representation of all possible values that meet the criteria, allowing for quick analysis and interpretation. Moreover, visualizing inequalities can aid in solving systems of inequalities and making informed decisions based on the graphical data.

Well, honey, the answer to "3 plus 2a equals" is simply "3 + 2a." I mean, come on now, it's right there in the question! Just leave it as is unless you want to simplify it further, but that's as far as I'm willing to go with math today, darling.

The expression "-2y + 7y + 4" can be simplified by combining the like terms. The terms involving (y) are (-2y) and (7y), which combine to give (5y). Therefore, the simplified expression is (5y + 4).

The expression (2y^4) represents a term where the coefficient is 2 and the variable (y) is raised to the fourth power. This means that (y) is multiplied by itself four times, resulting in (2 \times y \times y \times y \times y). In algebraic terms, it signifies a polynomial term with a degree of 4.

The first step in solving a stoichiometric problem is to write a balanced chemical equation for the reaction involved. This ensures that the number of atoms for each element is conserved, allowing for accurate calculations of reactants and products. Once the equation is balanced, you can identify the molar ratios needed to convert between moles of reactants and products. This sets the foundation for further calculations related to mass, volume, or number of moles.

Inequality in problem-solving can manifest in various forms, such as access to resources, differing levels of education, and biases in decision-making processes. For instance, individuals from marginalized communities may lack access to quality education or support systems, limiting their ability to solve complex problems effectively. Additionally, gender or racial biases can lead to unequal opportunities for participation in problem-solving discussions. These disparities hinder collaborative efforts and perpetuate systemic inequalities in various fields, from business to healthcare.

No, CFA Level 1 is not considered a Level 5 qualification. In the context of the UK qualifications framework, Level 5 typically corresponds to higher education qualifications like diplomas or associate degrees. The CFA designation is a professional certification and generally does not align directly with academic qualification levels. However, it is highly regarded in the finance and investment industry.

9x9=81

9x^(2) - 6xy + y^(2) - 81

9x^(2) - 81 + y^(2) - 6xy

9(x^(2) - 9)+ y(y - 6x)

9(x-3)(x + 3) + y(y - 6x)

9x^(2)

-9x + 4 = -50

Subtract '4' from both sides

-9x = -54

Divide both sides by '-9'

x = (+)6

9x - 3 > 6

Add '3' to both sides

9x > 9

Divide both sides by '9'

x > 1 The answer!!!!!!

Verification.

When x = 2

9(2) = 18 > 9

(x^(3) + X^(2) + x + 1) / ( x + 1)

Factor

[x^(2))(x + 1) + ( x +1) ] / ) x + 1)

[(x^(2) + 1 )(x + 1)] / ( x + 1)

Cancel down by 'x + 1'

Hence

x^(2) + 1 The Answer!!!! (NB This term does NOT factor).

x^(2) + 8x + 8y +32 = 0

Then

-8y = x^(2) + 8x + 32

y = (-x^(2)/8) - x - 4

In standard parabolic form. The coefficient of x^(2) is '-1/8' .

It will be an 'umbrella' shaped parabola.

y = x^(2) + 4x + 5

Find the vertex , differentiate and equate to zero.

dy/dx = 0 = 2x + 4

2x + 4 - 0

2x = -4

x = -2

To find if the vertex is at a max/min differentiate are second time. If the answer is positive(+)/Negative(-), then it is a minimum/maximum.

Hence

dy/dx = 2x + 4

d2y/dx2 = (+)2 Positive(+) so the parabola is at a minimum. at x = -2.

You can use properties of exponents to simplify products and quotients of radicals by expressing the radicals in exponential form. For example, the square root of a number ( a ) can be written as ( a^{1/2} ). When multiplying radicals, you can add the exponents (e.g., ( \sqrt{a} \times \sqrt{b} = (a^{1/2} \times b^{1/2}) = (ab)^{1/2} )). For quotients, you subtract the exponents (e.g., ( \frac{\sqrt{a}}{\sqrt{b}} = \frac{a^{1/2}}{b^{1/2}} = \left(\frac{a}{b}\right)^{1/2} )).

African people often use traditional artwork, such as masks and sculptures, in cultural ceremonies to address and resolve disputes. These artworks serve as powerful symbols of authority and community values, facilitating dialogue and reconciliation. For instance, in certain communities, elders may use ceremonial masks during mediation processes to invoke ancestral spirits and promote harmony. Additionally, storytelling through art can help convey moral lessons and promote social cohesion.