Answer:
-0.5x² + 20x + 100
Step-by-step explanation:
Given:
R = 25x - 0.5x²
C = 100 + 5x
P = R - C
Where,
P = profits
R = Revenue
C = Cost
which expression represents her profit in dollars?
P = R - C
R = 25x - 0.5x²
C = 100 + 5x
= 25x - 0.5x² -(-100 + 5x )
= 25x - 0.5x² + 100 - 5x
= -0.5x² + 20x + 100
The expression which represents her profit in dollars is -0.5x² + 20x + 100
Answer:
∠D = 13°
Step-by-step explanation:
∠A and ∠D are vertical angles and thus are congruent, hence
x - 2 = - 3x + 58 ( add 3x to both sides )
4x - 2 = 58 ( add 2 to both sides )
4x = 60 ( divide both sides by 4 )
x = 15
∠D = x - 2 = 15 - 2 = 13°
Would use the algorithm for solving square root.
For square root, √n
x₁ = 0.5(x₀ + n/x₀)
(This formula is known and for square root, and can be derived using Newton-Raphson's approximation equation)
Where x₀ is the initial guess. x₁ becomes the new guess.
For √100.6 let our initial guess be 10, x₀ = 10, n = 100.6
Our approximation shall be to 3 decimal places. Once we get the same answer twice we stop the algorithm.
x₀ = 10, x₁ = 0.5(x₀ + n/x₀), x₁ = 0.5(10 + 100.6/10) = 10.030, x₁ = 10.030
x₂ = 0.5(x₁ + n/x₁), x = 0.5(10.030 + 100.6/10.030) ≈10.015, x₂ ≈ 10.030 (to 3 decimal places)
Since x₂≈ x₁, the algorithm stops.
So the √100.6 is ≈ 10.030 to 3 decimal places.
I hope this helps.
Answer:
12n+5
Step-by-step explanation:
The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17
Do you have any example sheets? i can’t see the screen
