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Use the discriminate to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions.
Create a binary relation between X and Y that contains at least 6 ordered pairs, given that X and Y are the following:
A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Show your work.
If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
The perimeter of a rectangular building is 234 feet. The width is 25 feet shorter than the length. What are the dimensions?
A line passes through the point (x,y) = (-2,-1) and has a slope of -2 . Write an equation for this line.
How does solving an equation differ from manipulating an expression? How are they alike?
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces
Cleaning solution is made by mixing 1/3 teaspoon baking soda, 2 tablespoon of dishwashing liquid and 2 cups lukewarm water.
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460
Evaluate the difference quotient for the given function. Simplify your answer.
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid.
Flight of a Ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball can be modeled
Show that none of the following mappings f:X?X have a fixed point and explain why the Contraction Mapping Principle is not contradicted.
Indicate whether the given points below are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines:
Prove that if {f_n:R?R} is a sequence of continuously differentiable functions such that the sequence of derivatives {f_n^':R?R} is uniformly convergent
The price of a certain product varies according to how much is available. At a production level of x units the price per units the price per unit is 3.40-0.01x.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work.
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time
In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function.
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
How can the graph of f(x) = -(x -1 )2 be obtained from the graph of y = x2?
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Set-up the system described below, justify which method you would use to solve, by graphing, substitution, or elimination then solve