Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20

y=2

Step-by-step explanation:

4y^2-16y+16=0                 To "solve" means to find the value of x for which this equation is true.

y^2 -4y + 4 = 0               [divide by 4; this is the same equation]

 (y-2)(y-2) = 0               [You may factor or use the quadratic equation]

   y=2 and y=2     [the same answer]

Check:

   Does  (2)2 - 4(2) + 4 = 0    ?

             4   -   8    + 4  = 0   ?

                   0    =   0   ?  yes