Answer:
Step-by-step explanation:
Vertically stretched. The action of vertically stretched is accomplished by altering a in
y = a* abs(x)
What that means is that you make a > 1. In this case, a = 2
So far, what you have is
y = 2*abs(x)
Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.
y = 2*abs(x) - b. Since we are moving down, b<0
y = 2*abs(x) - 6
Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.
Not true.
To move right you subtract something in the brackets.
y = 2*abs(x - 4) - 6
Graph
Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.
red: y = abs(x)
blue: y = 2*abs(x - 4) - 6
F(x) = ln(x² - 12x)
The derivative is

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)
Answer:
The derivative is

The domain is
(-∞, 0)∪(0, 12)∪(12,∞)
Answer:

Step-by-step explanation:
Original Price
Discount:
Discount

Tax:
Tax

Let's find a.
We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.
90 + a = 180
a = 90°
Let's find b.
By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.
Let's find c.
Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.
163 + b = 180
c = 27°
Let's find d.
Using the angle that measures 70°, we can solve it like we did with a and c.
70 + d = 180
d = 110°
Let's find e.
Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.
110 + e = 180
e = 70°
Best of Luck!
Answer:
150
Step-by-step explanation:
you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150