Please help me with my question!!

Answer:

one comic book costs $5

Step-by-step explanation:

let cost of comic book = $x

let cost of vinyl  = $y

according to the question:

6x = y + 3x

y = 6x - 3x

y = 3x                 (1)

y = $15               (2)

substituting the value of y from equation (2) into equation (1)

15 = 3x

x = 15/3 = 5

thus, cost of one comic book = $5

Answer:

5$.

Step-by-step explanation:

Let's denote the cost of one Sailor Moon comic book as x .

The cost of 6 Sailor Moon comic books is 6x.

According to the given information, the cost of a Nirvana vinyl plus 3 comic books is equal to the cost of 6 Sailor Moon comic books.

So, 15 + 3x = 6x , as the vinyl costs $15.

Now, let's solve for x :

Subtract 3x from both sides: 15 = 3x

Divide by 3: x = 5

Therefore, the cost of one Sailor Moon comic book is $5.

Answer:

a) f(16) = 42

b) f(16) = 54

c) f(16) = 162

d) f(16) = 30

Step-by-step explanation:

a) y = mx + b ∧ m = (f(8) - f(4))/(8-4) ⇒ m = (18 - 6)/(8 - 4) = 3

b = y - mx = 6 - 3(4) = 6 - 12 = - 6

f(16) = 3(16) - 6 = 42

b) y = kxⁿ ∧ f(4) = 6 = k4ⁿ ∧ f(8) = 18 = k8ⁿ ⇒ 18/6 = (k8ⁿ)/(k4ⁿ) ⇒ 3 = 2ⁿ

n = ㏑(3) / ㏑(2) ⇒ k = y/xⁿ ⇒ k = 6/4ⁿ = 2/3

f(16) = 2/3 × 16ⁿ = 54

c) y = aeᵇˣ ∧ f(4) = 6 = aeᵇ⁴ ∧ f(8) = 18 = aeᵇ⁸ ⇒ 18/6 = (aeᵇ⁸)/(aeᵇ⁴) ⇒ 3 = e⁴ᵇ

b = ㏑(3/4) ∧ a = y / eᵇˣ ⇒ a = 6 / e⁴ᵇ = 2

f(16) = 2eᵇ¹⁶ = 162

d) y = a㏑(bx) ∧ f(4) = 6 = a㏑(b4) ∧ f(8) = 18 = a㏑(b8)

⇒ 18 - 6 = a㏑(b8) - a㏑(b4) ⇒ 12 = a㏑(8b/4b) ⇒ a = 12 / ㏑(2)

f(4) = 6 = a㏑(4b) ⇒ b = (√2)/4

f(16) = a㏑(b16) = 30