N=4
With the equation use the distributive property to multiply 3 into (n+2). And 9 into (6-n).
Then you should have 3n+6=54-9n
You add 9n to both sides to get 12n+6=54.
After you should subtract six from both sides to get 12n=48
The last step is to divide 12 from both sides to get n=4 :)
Answer:
224,688
Step-by-step explanation:
The number of members is modeled by ...
m(t) = 45000·1.04^(t-1975) . . . . where t is the year number
Then for t=2016, the membership is expected to be ...
m(2016) ≈ 45000·1.04^41 ≈ 224,688
Membership in 2016 could be estimated to be about 225,000.
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The multiplier per year is 1+4% = 1.04. The exponent tells how many times that multiplier is repeated.
Answer:
x = -6√3 or 4√3
Step-by-step explanation:
x² + 2√3 x − 72 = 0
Solve with quadratic formula, or completing the square.
To use completing the square, we first add 72 to both sides:
x² + 2√3 x = 72
Take half of 2√3, square it, then add to both sides.
x² + 2√3 + 3 = 75
Factor the perfect square:
(x + √3)² = 75
Solve for x:
x + √3 = ±√75
x + √3 = ±5√3
x = -√3 ± 5√3
x = -6√3 or 4√3
According to Vieta formula, the sum of the roots should equal b/a, and the product of the roots should equal c/a.
-6√3 + 4√3 = 2√3
-6√3 × 4√3 = -72
Answer:
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