This is the concept of algebra, so solve for x we proceed as follows;
4/x-4=x/(x-4)-4/3x
(4-4x)/x=(3x^2-4(x-4))/(3x(x-4))
(4-4x)/x=(3x^2-4x+16)/(3x^2-12x)
cross-multiplying the expression we get:
(4-4x)(3x^2-12x)=x(3x^2-4x+16)
-12x^3+60x^2-48x=3x^3-4x^2+16x
this can be simplified as:
-15x^3+64x^2-64x=0
since the above polynomial is of degree 3, the number of solutions are 3.
<h2>
Answer:</h2>
The final image is:
<h2>
Explanation:</h2>
Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:
First rule:
Reflection across the y-axis:
By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:
Second rule:
This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:
Answer:
i) the value of a = 0 is non-permissible
ii) the value of b = 0 is non-permissible
Step-by-step explanation:
i) the given expression is
ii) if a = 0 then the expression will become infinity hence the value of a = 0 cannot be used
iii) if b = 0 then the expression will become infinity, hence the value of b = 0 also cannot be used.
iv) In the numerator of the expression if it is factorized we get 5a ( a + 16)
if a = -16 then the value of the expression becomes zero.
Yes, each group could have 7 shirts.......