Answer:
-13/3
Step-by-step explanation:
Let f(x)=A
x=f'(A)
x=3(A+5)
A=(x-15)/3
f(x)=(x-15)/3
ff(2)=(2-15)/3
=-13/3
Answer:
75:125=3:5
Step-by-step explanation:
1. Add the total number of parts
3+5=8
2. Find out how much one part is
200/8=25
3. Multiply each ratio by 25
3*25=75
5*25=125
4. Check they add up to 200
75+125=200
Answer:
2378.88
Step-by-step explanation:
12/100 x 2124
=254.88
2124+254.88=answer
Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
Answer:
Step-by-step explanation:
Let c represent the total cost of booking either Uber or Lyft for x miles.
Let m represent the number of miles ridden with either Uber or Lyft.
Uber charges $0.80 per mile and a booking fee of $2.30. This means that the total cost of riding with Uber for m miles would be
c = 2.30 + 0.8m - - - - - - - - - -1
Lyft charges $1.07 per mile with no booking fee. This means that the total cost of riding with Lyft for m miles would be
c = 1.07m - - - - - - - - - -2
Equation 1 and equation 2 are the system of equations that bests models this situation
