Two numbers when multiplied equals 36.  If one number is x and the other number is greater than x by 5 a)     Represent the information given in equation form b)    Express as a quadratic equation c)     Solve the quadratic equation to find possible values for x d)    If told that the two numbers were positive, give the values of the two original numbers.                                                                      2. Solve the following quadratic equations ( hint use the quadratic formula)   a) 3x2+ 5x + 2 = 0        b) 6x2– x – 15     = 0       3. Find the equation of the line joining the points (4, 9) and(2,0)                                                            4. Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y = 6 – 3x    5. Log 2 = 0.301,log 3 = 0.477 and  log 5 = 0.699 Using this information Find:-          a) Log 2/15           b) Log  1.5  =       6. Express using a single log            2Log a2 – Log b – 2 Log a2b + 2Log b

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter43: Introduction To Equations
Section: Chapter Questions
Problem 16A: Express each ofthe word problems in Exercises 7 through 19 as equations. Let the unknown number...
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  1. Two numbers when multiplied equals 36.

 If one number is x and the other number is greater than x by 5

a)     Represent the information given in equation form

b)    Express as a quadratic equation

c)     Solve the quadratic equation to find possible values for x

d)    If told that the two numbers were positive, give the values of the two original numbers.                                                                   

 

2. Solve the following quadratic equations ( hint use the quadratic formula)

 

a) 3x2+ 5x + 2 = 0        b) 6x2– x – 15     = 0    

 

3. Find the equation of the line joining the points (4, 9) and(2,0)                                                           

4. Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y = 6 – 3x 

 

5. Log 2 = 0.301,log 3 = 0.477 and  log 5 = 0.699

Using this information

Find:-          a) Log 2/15           b) Log  1.5  =      

6. Express using a single log

           2Log a2 – Log b – 2 Log a2b + 2Log b         

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