Assignment:
Q1. Solve:
a) 36x2 + 49 = 0
b) Find the x-intercept of f9x) = 36x2 + 49
Q2. Solve. Give the exact solution and approximate solutions to three decimal places, when appropriate.
a) 3x2 - 7 = 0
b) (t - 2)2 = 25
Q3. Use the hang-time function V(T) = 48T2, relating vertical leap to hang time.
Q4. Tracy McGrady, of the Houston Rockets, has a vertical leap of 40in. What is his hang-time?
Q5. a) Solve: 49x2 - 14x + 1 = 0
b) Find the x-intercept of f(x) = 49x2 - 14x + 1
Q6. 11(x - 2) + (x - 5) = (x + 2) (x - 6)
Q7. 1/x + 1/ x + 4 = 1 / 7
Q8. (x + 3)2 + (x - 1)2 = 0
Q9. The outside of a picture frame measures 14in. by 20in.; 160in2 of picture shows. Find the width of the frame.(Please define the variable).
Q10. The hypotenuse of a right triangle is 22m long. The length of one leg is 10 m less than the other. Find the lengths of the legs.(Please define the variable)
Q11. A turbo-jet flies 50mph faster than a super-prop plane. If a turbo-jet goes 200mi in 3hr less time that it takes the super-prop plane to go 2800mi, find the speed of each plane.
Q12. N(kQ1kQ2 / s2), for --> s
Number of phone calls between two cities.
Q13. a2 + b2 + c2 = d2, for c
Pythagorean formula in three dimensions.
Provide complete and step by step solution for the question and show calculations and use formulas.