Answer:
x = (7 + √133) / 6
Step-by-step explanation:
0 = log₉ (3x + 2) + log₉ (x − 3)
Use log rules:
0 = log₉ ((3x + 2) (x − 3))
Raise 9 to both sides:
1 = (3x + 2) (x − 3)
Simplify:
1 = 3x² − 7x − 6
0 = 3x² − 7x − 7
Use quadratic formula:
x = [ -(-7) ± √((-7)² − 4(3)(-7)) ] / 2(3)
x = (7 ± √133) / 6
Since x > 3:
x = (7 + √133) / 6
x ≈ 3.089
Answer:6
Step-by-step explanation:
18/3=6
Answer:
x = -3, 2, 3.
Step-by-step explanation:
f(x )= x^3 - 2x^2 - 9x + 18 We factor this by grouping:
f(x) = x^2(x - 2) - 9(x - 2)
f(x) = (x ^2- 9)(x - 2)
f(x) = (x - 3)(x + 3)(x - 2).
The zeroes of the function are:
x = -3, 2, 3.
Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
$1.23
i put it only a pint half a quart