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Brad is two years older than Andrew. How old is Carol? So, 1. This equation is a proportion, so it can be solved by cross-multiplication.
Form a new equation by multiplying the numerator of each fraction by the denominator of the fraction on the other side. Then, simplify the result and solve for x.
This equation involves an absolute value function. The absolute value of a number is its distance from zero on a number line. Since distances are never negative, the absolute value of a number is always positive or equal to zero. Write two equations and solve each. The product of a number and its reciprocal, or multiplicative inverse, is 1.
For a fraction, the reciprocal can be found by inverting or switching the numerator and denominator. Since �3 can be written as , its reciprocal is. Since the square root of x is between 3 and 11, we know that the inequality 3 11 is true.
To find the value of x, square each part of the inequality. Write each piece of information as an equation using the variables A, B, and C for the current ages of Andrew, Brad, and Carol, respectively. The QR Decomposition of a Matrix. LU Decomposition of a Matrix. Subspaces - Examples with Solutions. Inner Product, Orthogonality and Length of Vectors. Orthogonal Vectors - Examples with Solutions.
Linear Combinations and Span of Vectors. Basis, Coordinates and Dimension of Vector Spaces. Change of Basis - Examples with Solutions. Orthonormal Basis - Examples with Solutions. Examples with Solutions determinants Determinant of a Square Matrix. Find Determinant Using Row Reduction. Cramer's Rule with Questions and Solutions. Row Echelon Form Calculator. Row Reduce Agmented Matrices - Calculator.
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