Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:


As per the given info we draw the tree diagram which is defined in the attachment file.


Answer:
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eeeeeeeeeeeeeeeeeeeeeeStep-by-step explanation:
Ok, first of all, it is important to understand that this function would depend on 2 variables; the number of dollars (x) and the number of pennies (y). Every dollar is equivalent to 100 pennies. So, if we are given x dollars, we have 100*x pennies. If we also have y pennies, we still get y pennies. We need to add these two to get the total amount of pennies. Thus, the correct function is:
f(x,y)=100*x+y
Answer:
Given that x=5, when we substitute in 5 for 2x + 3 = 13, the equation will turn out to be true.
Step-by-step explanation:
2x + 3 = 13 x=5
2(5)+3=13
10+3=13
13=13
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1