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1. Find the slope of the line 3x - y = 5.
2. Find the point of intersection of the lines 2x + y = 4 and 3x - y = 1. Graph the pair of lines.
3. A manufacturer produces items at a daily cost of $1.50 per item and sells them for $2.50 per item. The daily operational overhead is $500. What is the break-even point?
4. Suppose the sales of a company are given by
S(x) = $300x + $3,000 where x is measured in years and x = 0 corresponds to the year 2003.
Find the predicted sales in the year 2006 assuming the trend continues.
5. Write the augmented matrix of the system: x - 2y + z = 3
2x - y = 43y + z = 6
6. y = z x + y = 5.
Determine whether this system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.
Find the solution for y
The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5.
Find the solution for x
Solve fraction for Y
Write the equation first by inserting the given binomials into the Pythagorean Theorem. Once you have your equation written, go ahead and solve it using the methods from section 5.6 of Elementary and Intermediate Algebra.
Solving maximization proplem with graphical method.
since 1905 the amount of carbon dioxide has been increasing. total production of co2 from all counntries except us
Application problems in linear equation
let x be a continuous random variable with the pdf f and the cdf f. assume that fx gt 0 for all real numbers x. define
Write a quadratic equation in the variable x having the given number as solutions. Type the equation in standard form, ax^2+bx+c=0 Solution:5, only
given the following dependent system of equations ax by c dx ey f where abcde and f are non-zero real numbers which
Consider the set of polynomials with real coefficients. Define two elements of this set to be related if their derivatives are equal. Prove that this defines an equivalence relation.
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