Answer: f(3) = 7
Step-by-step explanation:
f(3) = 5(3) - 8
15 - 8
f(3) = 7
Answer:
We conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Step-by-step explanation:
Let 'p' be the original price
Discount = 5% = 0.05
The discount amount can be calculated by multiplying the original price by 5% or 0.05
Discount Amount = 5% × p
= 0.05 × p
= 0.05 p
Given that the price p of a coat reduced by a 5% discount.
Thus, the price after 5% discount can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.
Thus,
The expression of the price p after 5% discount = p - 0.05 p
= 0.95 p
Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
Answer:
The figure was not included in your question?
Answer:
x=-1 or 5 or 2
Step-by-step explanation:
x³-6x²+3x+10=0
(x+1)(x-5)(x-2)=0
x+1=0 ⇒ x=-1
x-5=0 ⇒x=5
x-2=0 ⇒ x=2
