The answer would be y=-4 and x=4, so pick which ever number/letter has this answer.
Explanation:
Factoring to linear factors generally involves finding the roots of the polynomial.
The two rules that are taught in Algebra courses for finding real roots of polynomials are ...
- Descartes' rule of signs: the number of positive real roots is equal to the number of coefficient sign changes when the polynomial is written in standard form.
- Rational root theorem: possible rational roots will have a numerator magnitude that is a divisor of the constant, and a denominator magnitude that is a divisor of the leading coefficient when the coefficients of the polynomial are rational. (Trial and error will narrow the selection.)
In general, it is a difficult problem to find irrational real factors, and even more difficult to find complex factors. The methods for finding complex factors are not generally taught in beginning Algebra courses, but may be taught in some numerical analysis courses.
Formulas exist for finding the roots of quadratic, cubic, and quartic polynomials. Above 2nd degree, they tend to be difficult to use, and may produce results that are less than easy to use. (The real roots of a cubic may be expressed in terms of cube roots of a complex number, for example.)
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Personally, I find a graphing calculator to be exceptionally useful for finding real roots. A suitable calculator can find irrational roots to calculator precision, and can use that capability to find a pair of complex roots if there is only one such pair.
There are web apps that will find all roots of virtually any polynomial of interest.
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<em>Additional comment</em>
Some algebra courses teach iterative methods for finding real zeros. These can include secant methods, bisection, and Newton's method iteration. There are anomalous cases that make use of these methods somewhat difficult, but they generally can work well if an approximate root value can be found.
(-10) + 3 = -(10 - 3) = -7
10 - 3 = 7
-7 ≠ 7
<em><u>FALSE</u></em>
Answer:
1) Categorical
2) Norminal
Step-by-step explanation:
1)
The data collected by Kroger in this example categorical or quantitative identified below:
From the given information, Kroger uses an online customer opinion to obtain the data about its products and services. All the questions based on yes or no type questions. Here the questions are ‘products that have a brand name, products that are environmentally friendly, products that are organic’ these type of questions cannot be expressed numerically so the data collected by Kroger Company is categorical variable because these answers of the questions cannot be counted.
Any variable which is grouped into two or more attributes then it is a categorical variable. The data collected by Kroger Company is categorical variable and any variable which can be counted or measured in numerical then it is quantitative variable.
2)
The measurement scale is identified below:
Here the variable cannot be counted in numerical sale so the level of measurement cannot be ratio, interval because ratio and interval scale can be used for numerical data. The nominal scale can be used to identify the ‘products that have a brand name, products that are environmentally friendly, products that are organic, products that have been recommended by others’ because natural order need not be used.
The ratio and interval scale can be used for Quantitative data and nominal and ordinal scale can be used for Qualitative data. When the order is needed to categorize the objects Ordinal scale is used, when the order is not needed to categorize the objects Nominal scale is used.
Answer:
The system will be found to be inconsistent or dependent.
Step-by-step explanation:
The matrix A will have no inverse for two different reasons:
- The system is inconsistent
- The system is dependent
In the latter case, the Gauss-Jordan method will find a set of parametric equations for a solution. In the former case, there is no solution.
The outcome will depend on the reason why there is no inverse.
