How do you find out if a equation defines y as a function of x?
You have to remember we like precision in mathematics, what that question is really asking is do you remember the definition of a function and application of that definition.Check out this phrasing on math is fun, it might make more sense.Definition of FunctionAs people mentioned you have to check if there is going to be one y for one x.if you have a math degree, the problem is easy, looking over the equation a you can notice that it is y that is squared so more then likely you will have two values for x for one y, and so one example is going to be sufficient to disprove the definition.part b is more complected and you would have to prove that it satisfies the definitionof a function, one way to do that is pick a random x, value represented by another variable and substitute it in, and then justify that expression you get represents one single value with continuity, increasing, decreasing. on the interval.here are the steps if you don’t have the math degree and don’t know operations as well it will work every time.re-write it in terms of y=…., meaning solve for yif it looks like you have two equations then it is a relationship -case aif you need to prove that one has a function for case b, you would point out that if you substitute any value you will get some value in Reals.
How do I find the equation of the perpendicular bisector of AB, where A and B are the points (3,6) and (-3,4) respectively?
The slope of the line joining is (4-6)/(-3–3) = (-2)/(-6) = 1/3. Hence the slope of line perpendicular to it is (-3) as the product of slopes of two perpendicular lines is -1. The mid point of the line will be (0/2, 10/2), i.e. (0,5).The required line is y-5 = (-3)(x-0), i.e., 3x+y = 5. Ans
Solve the equation 4x - 6 = 34. Write a justification for each step?
The objective of this algorithm, or equation, is to find x of this equation 4x - 6 = 34 first you need x alone so you have to add 6 on both side 6+ 4x - 6 = 34 +6 then you end up with 4x = 40 now you have to divide both sides by 4 since you want to see how many is one x equal to not for of them so you divide by 4 4/ 4x = 40 /4 which is x = 10 so the answer is 10
How to solve a math problem?
We'll use x to denote the speed of the winding road. Therefore, x+20 is the speed of the level road. If the bus traveled 4 hours at level speed and 2 hours at windy speed for a total of 284 miles, you reach the following equation: 4(x+20) + 2x = 284 4x + 80 + 2x = 284 6x = 204 x = 34 Now you know that the average speed on the level road was 54 and the average speed on the windy road was 34.
Algebra Help! 100 question test, but need help on 10!!!!?
If you do not know the answers, just skip it. Please number it and no useless answers. 1. The difference of 9 times a number and 2 is 67. Which equation below can be used to find the unknown number? A. 9n - 2 = 67 B. 9 - 2n = 67 C. 9 (n - 2) = 67 D. 2 (n - 9) = 67 2. The sum of two consecutive even integers is -34. What is the smaller integer? 3. Four times the difference of 17 and a number is 84. Which equation below can be used to find the unknown number? A. 4 (17) - n = 84 B. 4 - 17n = 84 C. 17 - 4n = 84 D. 4 (17 - n) = 84 5. Chris made four times as many putts as Paul made at golf practice. Together, they made 60 putts. Which equation below can be used to find the number of putts Paul made. A. 5p = 60 B. 4p = 60 C. 4 + p = 60 D. 4p = 60 + p 7. The sum of three consecutive integers is -96. What is the largest integer? 8. Ky has three times more books as Grant, and Grant has 6 fewer books than Jaime. If the total combined number of books is 176, how many books does Jaime have? A. 28 B. 34 C. 40 D. 102 9. An instructor makes $15 more per hour than an assistant. If the combined hourly wage of the assistant and instructor is $65, what is the hourly wage of the assistant? A. $15 B. $20 C. $25 D. $30 10. A paralegal makes $12 more per hour than an assistant. If the combined hourlywage of the paralegal and assistant is $38, what is the hourly wage of the assistant? A. $11 B. $12 C. $13 D. $14