Simplify the complex fraction 9/y+y/6/y-y

Question

1. Simplify the complex fraction 9/y+y/6/y-y

 

2. solve 2c^2=13c+7

 

3. a car travels at a speed of 20miles per hour for x hour. find an expression for the distance that the car travel

 

4. Use the product rule to simplify the expression

(-4)^2.(-4)^3 type the answer in exponential form

Answer 1

For number 2: 

2c^2=13c+7
2c^2-13c-7=0
(2c+1)(c-7)=0
c=(-0.5), c=7

 

For number 3: 20x would describe the distance traveled given x hours.  

 

For number four, the product rule tells you that you can add the exponents such that (-4)^(2) times (-4)^3 equals (-4)^(2+3) which equals (-4)^5

Answer 2

1. 9/y + y/6/y-y

 

Use BODMAS rule which is Brackets Of Division Multiplication Addition and Subtraction

 

Here...

9/y +(y/6÷y/y)

 

Based on the rule, solve division before Addition

 

9/y + (y/6 × y/y)

 

The y cancel and you are left with (y/6)

Then solve 9/y + y/6

 

You get..

 

(54+ y²)/6y