<h2>
54 units²</h2><h2 />
This is a compound shape. You can split it into x shapes. See Attachment
Area of a Rectangle = L × B
L = 7
B = 6
7 × 6 = 42
<h3>42 units²</h3>
Area of a Triangle = 1/2BH
B = 6
H = 1
1/2 × 6 × 1 = 3
<h3>3 units²</h3>
Area of a Triangle = 1/2BH
B = 3
H = 2
1/2 × 3 × 2 = 3
<h3>3 units²</h3>
Area of a Triangle = 1/2BH
B = 2
H = 6
1/2 × 2 × 6 = 6
<h3>6 units²</h3><h3 /><h3>42 + 6 + 3 + 3 = 54</h3>
Answer:
Step-by-step explanation:
Suppose the electrician spends t hours at the house working.
Amount charged for every house call by electrician = $50
The electrician earned a total of $400 for a 5 hour job.
Also, C denotes total cost of the electrician's services.
So, the equation for C in terms of t is given below.
Here, 
Answer:
Step-by-step explanation:
Alternate interior angles are formed when a transversal passes through two parallel lines.
I am not sure maybe it is 6
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
