Answer: 420 different codes are possible.
Step-by-step explanation:
The number of possible codes can be given by
N = n!/(ra! × rb! × rc! × rd!)
Where;
n is the total number of letters in the code.
ra,rb,rc and rd are number of occurrence of A,B,C and D respectively
Given: n= 7, ra=3, rb=2, rc=1, rd=1.
Substituting the values, we have.
N = 7!/(3!×2!×1!×1!)
N = 5040/12
N= 420
Your answer is gonna be 8
Answer:

Step-by-step explanation:
Determine the graph by using the <em><u>rise over run</u></em>. Since the line shows that it is increasing (up), then the slope is positive:
Rise = 
Run = 

After you have found the slope, find the <u>y-intercept</u>, which when the line crosses the <u>y-axis</u>:
Y-intercept = 
-Since you now have the slope and y-intercept, use them to form a <u>Slope-Intercept form</u>:

Apply them to the equation:

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Answer:
x = -0.5 or x = 2
Step-by-step explanation:
Finding solutions graphically is often easier if the equation can be put in the form f(x) = 0. Here, we can do that by subtracting the right-side expression to give ...
(-2x^2 +2) -(-3x) = 0
This could be put in standard form, but there is no need. A graphing calculator can deal with this directly.
The solutions are x = -0.5 and x = 2.