Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 and an additional $12 for each album that he sells. Allen is also an aspiring artist and he gets paid $350 and an additional $9 for each album he sells. After how many albums will Floyd make more money than Allen?

50 albums

Step-by-step explanation:

Step one:

given

Floyd

base rate of $200 and an additional $12

let the number of album be x

and the total pay be y

y=200+12x1

Allen

base rate of $35 and an additional $9

let the number of album be x

and the total pay be y

y=350+9x2

Step two:

equate 1 and 2 we have

200+12x=350+9x

collect like terms

200-350=9x-12x

150=3x

divide by 3

x=150/3

x=50 albums

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

x=half

step-by-step explanation: