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Quadratic Equation
1. Find the value of k for which the equation has real and equal roots (k+4)x² + (k+1)x + 1 = 0
2. If -5 is a root of the quadratic equation 2x²+px-15=0 and the quadratic equation p(x²+x) + k = 0 has equal roots, find the value of k?
3. If the roots of the equation (b-c)x² + (c-a)x +(a-b) = 0 are real and equal then prove that 2b= a+c
4. If equation (1+m²)x² + 2mcx + (c²-a²) = 0 has equal roots, prove that c² = a²(1+m²)
5. Find the values of k for which the quadratic equation x²-kx+9 = 0 has real and distinct roots.
The sales representative informs you that there are 65 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^ -t/5 dollars per year.
Use the equation to predict the average global surface temperature in 2070.
Answers for A chemist needs 130 milliliters of a 57% solution but has only 33% and 85% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
in 1736 a famous swiss mathematician leonhard euler 1707 - 1783 started the work in the area of graph theory through
A statue of a town's founder stands in the town park. Nicholas is 16 meters from the statue. The angle of elevation for Nicholas to see the top of the statue is 35°, and Nicholas' eyes are 1.4 meters above the ground. How tall is the statue? Round..
The area of the floor of the rectangular room is 175 square ft. The length of the room is 1 1/2 feet longer than the width. Find the length of the room.
The curve for x=sqrt(In(y)) for 1
Sketch the Graph of y = cosx in the range -Pi
R=6e^(12.77x) x is blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 30% risk of a car accident?
The derivative of a continuous function at x is the slope of the tangent line to the curve at x. The attached pdf file develops the idea of a derivative first using slopes of secant lines and then introducing and explaining the difference quotient..
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
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