Answer:
Step-by-step explanation:
to vertically compress a function, f(x) by a factor of d, we multiply the whole function by d, so f(x) becomes d*f(x)
to shift a function to the right by c units, subtract c from every x
so f(x) becomes f(x-c)
to shift a function up by c units, add c to the whole function
so f(x) becomes f(x)+c
ok, given f(x)=5x
vertically compress by 1/4, multiply whole thing by 1/4
shift right 3 units, minus 3 from every x
shift up 2 units so add 2 to whole function
if you expand it you get
Answer:
2.571428
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
B is an upside down image of A and is 2 units below A.
The image of A is mirrored across the y axis at y = 2.
Answer: A was mirrored across y= 2 to form B.
Use this systems of equations to solve:
x = first antifreeze
y = second antifreeze
Isolate y.
x + y = 15
Subtract x from both sides.
y = -x + 15
Substitute y into the other equation.
.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25
Substitute x in the equation that we isolated y in.
y = -11.25 + 15
y = 3.75
11.25 L of the first antifreeze and 3.75 L of the second.