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1. Use discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.x2 - 12x + 34 = 0
2. Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work and graph.f(x) = x2 + 2
3. Answer the question. You will need to use the formula 4.9t2 + vot = s.Approximately how far will an object fall in 4 seconds, if it is thrown downward at an initial velocity of 20 meters per second (v0) from a helicopter?
4. Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable.Andy has 14 coins made up of quarters and half-dollars, and their total value is $4.25. How many quarters does he have?
5. Without graphing, find the maximum value.f(x) = (x + 5)2 - 5
A sound wave in our classroom has speed of 380 m/s. There is a speaker at each end of the table that has 4.0 m length. What is the minimum phase difference between the waves arriving to you from the two speakers
What is the value of a current in the smaller loop that would result in zero total magnetic fields at the center of the two loop system.
four identical particles each with mass m 10-6 kg and charge q 10-6 c are initially at the four corners of a square
Calculate the center of mass of a system of a system of 1 kg weights located at the following positions: (1,4),(-1,4),(-1,-4),(1,-4),(1,5),(1,7)
A flint glass plate (n = 1.66) rests on the bottom of an aquarium tank. Calculate the apparent thickness of the plate as viewed from above the water
An electric motor rotating a workshop grinding wheel at a rate of 9.70 101 rev/min is switched off. How long does it take for the grinding wheel to stop
Suppose that when you ride on your 8.50 kg bike the weight of you and the bike is supported equally by the two tires. If the gauge pressure in the tires is 65.5 lb/in2 and the area of contact between each tire and road is 7.13 cm2, what is your wei..
A virtual image of magnification +0.375 is produced when an object is located in front of a spherical mirror. Determine what type of mirror is it
A wave of amplitude 0.20 meter interferes with a second wave of amplitude 0.12 meter traveling in the similar direction.Find the largest resultant amplitude that can occur
A bartender slides a drink along a bar to a customer seated 3 metres away in the positive x direction. At what initial speed should the bartender send the drink
Sam jogs for 15 minute at 240 m/min, walk the next 10 minute at 90m/min, rests for 5 minute, and jogs back to where she started at 180 m/min. Find the Sam's displacement from start to finish
a rocket is launched and attains a speed of 5400 ms when 62000 m above the earth. if the engines shut down how much
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