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Find the slope of the line 2x + y = 4. Find the slope of the line 2x + y = 4.
A open box has a volume of 1000 cubic inches to be constructed from a 22 in by 30 in sheet of cardboard by cutting squares.
For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel
An architect wants to design a rectangular room so that its length is 8 meters more than its width, and its perimeter is greater than 56 meters.
List five vectors in span { }. For each vector, show the weights on used to generate the vector and list the three entries of the vector. Do not make a sketch.
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 meters.
The distance, in feet, between the rock and the ground t seconds after the rock is thrown is given by d = -16t^2 + 16t + 45.
A manufacturer buys $20,000 worth of machinery that depreciates linearly so that its trade-in value after 10 years will be $1,000.
Similarities and differences between functions and linear equation.
Construct a graph of the time series along with the equations fitted in parts (a) and (b). Which equation appears to better fit the data?
Linear Equations: The Median Age of First Marriage.The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000
The radius of a sphere is measured with a percentage error within + or -0.04%. Estimate the percentage error in the calculated volume of the sphere.
How would you come up with the decimal point in this problem?How does the author determine what the first equation should be?
Write a mathematical phrase or sentence for your classmates to translate. Ten more than six times some number.
Ross jogs at a rate of one mile every 0.25 hours. At what rate is he jogging in miles per hour?
Linear equations and inequalities.Give 3 real-world examples where something is increasing at a constant rate
Fibonacci Sequence - the matrix approach.The Fibonacci sequence is defined recursively
Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x, x +1.
With an equation to represent the number of trips Tanya will make based on the number of costumer tables.
One of the slowest fish is the blenny fish. The function y = 0.5x describes how many miles y the fish swims in x hours. Graph the function.
Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range
It is estimated that the demand for a manufacturer's product is increasing exponentially at the rate of 2% per year.
Pair Solutions in System of Equations.Find all solutions for the following system of equations. List the solutions as ordered pairs.
Give an example of using the distributive property for a negative monomial times a trinomial with different signs.