![a = - 2](https://tex.z-dn.net/?f=a%20%3D%20%20-%202)
Step-by-step explanation:
1) Subtract 8 from both sides.
![- 3a = 14 - 8](https://tex.z-dn.net/?f=%20-%203a%20%3D%2014%20-%208)
2) Simplify 14 - 8 to 6.
![- 3a = 6](https://tex.z-dn.net/?f=%20-%203a%20%3D%206)
3) Divide both sides by, -3.
![a = - \frac{6}{3}](https://tex.z-dn.net/?f=a%20%3D%20-%20%20%20%5Cfrac%7B6%7D%7B3%7D%20)
4) Simplify 6/3 to 2.
![a = - 2](https://tex.z-dn.net/?f=a%20%3D%20%20-%202)
Therefor, the answer is, a = -2.
Answer:64
Step-by-step explanation:4*4*4
Answer:
Step-by-step explanation:
5= -1/3(6) + b
5= -2 +b
y= -1/3x+7
Answer:
y=mx+b
Step-by-step explanation: I believe this would be an equation that you can use for your points.
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