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Write an equation for the parabola with vertex at (4,0) and y-intercept at (0,4). How many x-intercepts does the graph have?
If the area of the rectangle is 99 cm2, find the dimensions of the rectangle to the nearest thousandth.
Linearly independent or linearly dependent. In the following case, state if the following set of vectors are linearly independent
Is is better to invest your money where it will earn interest at a rate of 7% per year or to invest it where it will be multiplied by 2/3 each year?
Graphical representation of linear equations. Solve the questions on graphical representation of linear equations
Break-Even The weekly total cost function for a piece of equipment is C(x) =2000x+ 18,000+60x² dollars, and the weekly revenue is R(x) =4620x-12x²-x³.
Matrix algebra.Show that A and B commute, B and C commute but A and C do not.
How do I create an expression for expenditures and for receipts on this problem? How many chips must be sold to produce a profit?
You are a high school math teacher and are introducing matrices to the classroom next week.
Show your work step by step. Compute the discriminant. Then determine the number and type of solutions for the given equation.
The figure above has been divided into nine squares, the smallest one, darkly shaded, has sides of length one and the lightly shaded square.
Polar coordiates - Find all points of intersection of the given curves.
Write a paragraph or two comparing and contrasting the two methods. Explain which method you prefer and why.
On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
A forensic scientist uses the expression 72.6 + 2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters.
XYZ Advertising has called you in for an interview to join its advertising team. During the interview process, you are expected to solve a linear regression
P dollars is invested at an annual interest rate R for one year. If the interest is compounded semi-annually, then the polynomial P (1+ r/2)^2.
How would you use this formula to multiply 201 by 199? Find at least one more pair of numbers that can be multiplied this way.
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Write and factor the trinomial.
Find the coordinates of the points whose images under the translation (x,y) --> (x - 3, y = 4) are the following:
Mathematicians have been searching for a formula that yields prime numbers. One such formula was x2- x + 41.
Write a mathematical model (linear equation) that allows the calculation of the cost of the hamburger based on buying any number of pounds?
Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000.
Complete each ordered pair so that it satisfies the given equation.
Janice earns time and a half overtime when she works more than eight hours on a weekday or on Saturday.