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1. The perimeter of a standard-sized rectangular rug is 24 ft.The length is 2 ft longer than the width. Find the dimensions. What is the width?What is the length?
2. Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetically ordered variables.
(6,-9) 2x=21-y 8x=84+4y Is the ordered pair a solution?
3. Solve the following system of equations by graphing. x-2y= -2 x+2y=6 (please provide solution set if any, plus two coordinates so I can graph)
Find the equation of the tangent line to graph f(x) = 2x3 + 2x2 + 10 at point (-2, 2). Find the slope of the tangent line to the graph of y = 1/x at (3, 1/3)
Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work
Next, describe a situation in which abstraction or encapsulation may not yield the best results. After all, boiling a group of things down to their defining, component attributes may overlook unique and special characteristics of that group's memb..
Set up a system of equations and solve the problem. The college theatre, collected $1300 from the sale of 450 tickets. If the tickets were sold for $2.50 and $3.50, how many tickets were sold at each price?
a 30 centimeter wrench is attached to a nut. the coordinate system you have picked is such that the wrench lies on the
find a function that models the area of the window.
Determine how many five-character codes can be formed if the first, second, and third characters are letters, the fourth character is a nonzero digit, the fifth character is an odd digit, and repetition of letters and digits are allowed. (A digit ..
for its breakfast special a restaurant offers fried eggs or scrambled eggs with ham or bacon or sauage plus a choice of 5 different kinds of toast. how many different breakfasts are possible.
Create a function to determine how much revenue you will make at each price you charge. This is done by multiplying the price times your function. For example if your function is Cups Sold = 1000 - 100*Price, your revenue function would be Price*(..
Suppose there are two events, A and B. A and B are mutually exclusive. P(A)=.4, P(B)=.5. What is P(A'|B)?
The width of a swimming pool (in feet) is a prime number greater than 10.The width and length of the pool are factors of 408. What are the dimensions of the pool?
Translate the problem into a system of 3 equations using 3 variables. solve the system. the sum of the digits of a three-digit number is 12. the tens digit is 2 less than the hundreds digit, and the units digit is 4 less than the sum of the oth..
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