Remmeber, you can do anything to an equation as long as you do it to both sides
for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign
pemdas always applies
but also the commutative property and assiociative property
so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution
Zero
you can double check though

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So




We can rewrite that without the primes and combine the powers of 2.

Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
For every 3 you go across you go up 1 so the gradient is rise/run = 1/3
Therefore gradient is 1/3