4x=6x-14
First isolate the variables onto one side and the numbers on the other so subtract 4x from both sides of the equation and add 14 to both sides of the equation to get 14=2x then you are going to want to completely isolate the variable so you divide 2 on both sides to get an answer of X=7
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
The cost of the roof is $240
Answer:
15mins
Step-by-step explanation:
Given that he worked out a total of 360mins, and jogged 45mins/day:

Therefore, Allen jogged a total of 90mins in the past one week. To calculate the time jogged each day, we divide the total jog time by number of days jogged:

Allen jogged 15mins per day.
Answer:
The vertex of the quadratic function is:

Step-by-step explanation:
Given the function

As the vertex of the form
is defined as:

As the quadratic function of parabola params are

so



Putting
to determine 




Therefore, the vertex of the quadratic function is:
