Answer:
(3x + 1)²
Step-by-step explanation:
Given
9x² + 6x + 1 ← is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare like terms to find a and b
a²x² = 9x² ⇒ a² = 9 ⇒ a =
= 3
b² = 1 ⇒ b =
= 1
and 2ab = 2 × 3 × 1 = 6
Thus
9x² + 6x + 1 = (3x + 1)²
Well i have to say is that PEMDAS exponents first. Hope this helps.
I would pick the “D” the same line
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Answer:
a) 2/2 + 2/2 = 2
b) 2/2 + 1/2 = 3/2
c) 2/2 + 0/2 = 1
d) 0/2 + 0/2 = 0
Step-by-step explanation:
a) 2 points : 2/2 + 2/2 = 2
if henry wins both games than we get probability =2
b) 1 1/2 or 3/2 : 2/2 + 1/2 = 3/2
if henry wins one game and tie another game we get probability =3/2
c) 1 point: 2/2 + 0/2 = 1
if henry wins one game and loose second game, we get probability 1
d) 0 points: 0/2 + 0/2 = 0
if henry loose both games we get probability 0