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salantis [7]
3 years ago
15

Erik needs a plumber and must decide between two companies. For a service visit, Plumber A charges $85 to send a plumber, plus $

20/h. Plumber B charges $60 to send a plumber, plus $30/h. The system that models this situation is given, where c is the cost of hiring a plumber and h is the number of hours the plumber works. The solution to the system is (2.5, 135).
 What is the correct interpretation of the solution of this system?
c=85+20h
c=60+30h


A.Plumber A will charge more when he works 2.5 h, charging $135.
B.Plumber B will charge more when she works 2.5 h, charging $135.
C.Plumber A and Plumber B will both charge $135 if they each work 2.5 h.
D.Plumber A and Plumber B will both charge $2.50 if they each work 135 h.
please help will fan and medal
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0
C. Plumber A and Plumber B will both charge $135 if they each work 2.5 h.
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so, Angle B is 126 degrees

I hope that helps!
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What is the value of x
pochemuha

This is the isosceles triangle. Therefore, the angles at the base are congruent.

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If f(x) = 9x10 tan−1x, find f '(x).
djverab [1.8K]

Answer:

\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)  

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                             \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = 9x^{10} \tan^{-1}(x)

<u>Step 2: Differentiate</u>

  1. [Function] Derivative Rule [Product Rule]:                                                   \displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  2. Rewrite [Derivative Property - Multiplied Constant]:                                  \displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  3. Basic Power Rule:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  4. Arctrig Derivative:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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