54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
Answer:
Nevan won the game.
He scored 183 points.
Explanation:
Correct answer is worth 13/4 points
Incorrect answer is worth -1/4 points.
Number of correct answers = 58
Number of incorrect answers = 22
Point scored 
Points need to win = 90 points
Point scored, 183 >Points need to win, 90
So, Nevan won the game.
The transformed equation is:

Step-by-step explanation:
We have to convert the equation in the form

Given equation is:

Adding 8 on both sides

In the given equation
a = x
b= ?
So,

So 3^2 will be added on both sides

Hence,
The transformed equation is:

Keywords: Quadratic equation, transformation
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<span>The expression is missing from the question, but here is the given expression which I got from a similar question.
48 + 54 = ___ ´ (8 + 9)
Theleft-hand side of the equation is:
48 + 54 = 102
Now the right-hand side of the equation:
A </span>× (8+9) = Right-hand side
A × (8+9) = 102
Solving for the unknown variable A,
A × 17 = 102
Dividing by 17 on both sides,
A × 17 ÷ 17 = 102 ÷ 17
A × 1 = 6
A = 6
Hence,
48 + 54 = 6 x (8 + 9)
Answer:
A' 2,2
B' 3, -1
C' -1,0
Step-by-step explanation:
Because you're translating it by -2, 3, you're basically subtracting 2 from the x value and adding 3 to the y value.
A = 4, -1
A' = 2, 2
B = 5, -4
B' = 3, -1
C = 1, -3
C' = -1, 0