Answer:
B. 5x^4+5x^3
Step-by-step explanation:
(f.g)(x) = f(x) * g(x) = 5x^3 * (x+1)
= 5x^3 * x + 5x^3 * 1
= 5x^4 + 5x^3
Answer:
x = 20
Step-by-step explanation:
90 = 60 + (x + 10)
90 - 60 = x + 10
30 = x + 10
30 - 10 = x
20 = x
Answer:
Option C, 6.5
Step-by-step explanation:
<u>Step 1: Substitute y in the equation 3x - 5y = 22</u>
3x - 5y = 22
3x - 5(-5x + 32) = 22
3x + 25x - 160 + 160 = 22 + 160
28x / 28 = 182 / 28
x = 6.5
Answer: Option C, 6.5
Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
