The 'like' terms are the 16x and the 12x.
They can be combined to make a single term ... 28x .
For this case we have the following functions transformation:
Vertical translations:
Suppose that k> 0
To graph y = f (x) -k, move the graph of f(x) k units down
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of f(x) h units to the right.
Applying the transformations to an ordered pair we have:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')
Answer:
The rule that describes a translation that is 3 units to the right and 5 units down is:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')
C.drawing a card from a deack of cards
Answer:
Machine B
Step-by-step explanation:
Since, Machine A covers 
square feet in 
hours,
Rate at which the Machine A is covering = 
= 
= 2.5 square feet per hour
Machine B covers 
square feet in 
hours,
Rate at which the Machine B is covering = 
= 
= 
= 3.33 square feet per hour
Therefore, Rate of Machine B is greater.
The equation is:
I=100+12J+5T+7S+5H-8M
The given information is that I=197, J=5, T=5, H=3, and M=3, and we’re trying to solve for the amount of shorts (S) he sold.
We can plug in the variables into the equation:
(197)=100+12(5)+5(5)+7S+5(3)-8(3)
After simplification:
197=100+60+25+7S+15-24
We can add/subtract the constants:
197=100+60+25+7S+15-24
We will add/subtract the constants:
197=176+7S
We will subtract 176 from both sides of the equation to cancel it out and isolate 7S:
197-176=176-176+7S
21=7S
We will divide 7 from both sides of the equation to cancel it out and isolate S:
21/7=7S/7
3=S or S=3 with the symmetric property of Equality applied.
Therefore, he sold 3 pairs of shorts
