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An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
The members want to find five more people to join the club so that the cost per person will decrease by $2000.
Given the function f describe by f(x)=x+10.
A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm systems is 0.995.
Show that if m is a number having primitive roots, then the product of the positive integers less than or equal to m and relatively prime to is congruent .
What is the discriminant? When do you use quadratic formula to solve a quadratic equation?
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Indicate, by checking the appropriate box, whether the given points are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines:
One way rental of yellow truck company of a 15ft truck at $45 per day and .37 cents per mile for every mile driven over 500.
The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
The electrician worked 4 hours more than the apprentice, and together they earned a total of $550. How much money did each person earn?
If $8000 is invested for t years at 8% interest compounded continuously, the future value is given by S=8000e0.08t dollars.
Find f(2), f(-3) and f(4) given f(x)=3x squared+5x+12.
What are the coordinates of the y-intercept? What are the coordinates of x-intercept?
Determine the name of each race, the full name of each winner (Sam is a man), and the age of each winner.
The slope intercept formula in math form is y=mx+b. The slope in this case is m and determines how much increase there is in y from an increase in x.
Solve by using the following methods: factoring, completing the square, and the quadratic formula.
Create a scatter plot for the data with x equal to the number of years from 1985. Does it appear that the data could be modeled with a quadratic function?
Find the distance between the points (4,-1) and (-5,3)
Two houses are for sale on the same street. The second house has 1,000 square feet less than twice the square feet of the first house.
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions.
Find the total cost of the microwave, coffeemaker, and the maximum number of lamps you found in number 9. Will the $250 cover the costs?
Inconsistent or dependent system of equations. Solve the system of linear equations.
Could you explain to me the difference between a domain and range? What kind of real life situation could be modeled by a function?
Write the equation of the linear function passing through the points (2, 3) and (4, 5) in slope intercept form.