45 Cards
12 friends invited; 1/2 came 12 x 1/2=6
Let x stand for the number of cards each friend received
Armando kept 3
6x = 45-3
6x = 42
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6 6
x = 7
Each friend received 7 cards
Answer:
B
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The function with the given zeros will factor as ...
f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'
You have ...
f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a
Then a = 221/221 = 1
The leading coefficient is 1.
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<em>Additional comment</em>
As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.
Answer:
67
Step-by-step explanation:
Number: AB
A = B-1
BA + AB = 143
10*B + A + 10*A + B = 143
11A + 11B = 143
A + B = 13
(B-1) + B = 13
2B = 14
B = 7
A = 6
The number is 67
check: 6 = 7-1 and 67 + 76 = 143
