Quadratic Equations and Functions
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4. 2
Solve 36x + 49 = 0 2
b. Find the x-intercepts of f(x) = 36x + 49.
Solve. Give the exact solution and approximate solutions to three decimal places, when appropriate.
2
6. 3x - 7 = 0
2
16. (t-2) = 25
2
For Exercsie 56. use the hang-time function V(T) = 48T , relating vertical leap to hang time.
56. Tracy Mcgrady, of the Houston Rockets, has a vertical leap of 40in. What is his hang time?
2
18. A. Solve: 49x - 14x + 1 = 0 2
B. Find the x-intercepts of f(x) = 49x - 14x + 1
22. 11(x - 2) + (x - 5) = (x + 2) (x - 6)
30. + =
2 2
34. (x + 3) + ( x - 1) = 0
2
10. The outside of a picture frame measures 14 in. by 20in.; 160in of picture shows. Find the width of the frame.
20. The hypotenuse of a right triangle is 22m long. The length of one leg is 10m less than the others. Find the lengths of the legs.
26. A turbo-jet flies 50 mph faster than a superprop plane. If a turbo-jet goes 2000 mi in 3 hr less time than it takes the super-prop to go 2800 mi, find the speed of each plane.
34. N= Number of phone calls between two cities
S
2 2 2 2
38. a + b + c = d , for c (Pythagorean formula in three dimensions)
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Solution Summary
Quadratic Equations and Functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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