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trapecia [35]
3 years ago
8

2x + y = −3 3x + 2y = −8

Mathematics
1 answer:
zvonat [6]3 years ago
5 0
i used elimination to solve this problem: the work is shown in the picture attached below. i got x=2 and y=-7
hoped this helped! let me know if you have any questions

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A contractor bought 7.6 ft squared of sheet metal. She has used 4.9 ft squared so far and has ​$43.20 worth of sheet metal remai
Karo-lina-s [1.5K]

Answer:

$16 per square foot

Step-by-step explanation:

6 0
3 years ago
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Find the derivative.
krek1111 [17]

Answer:

\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Expanding/Factoring

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                           \displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \frac{\sqrt{x}}{e^x}

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Quotient Rule]:                                                                   \displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}
  2. Basic Power Rule:                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}
  3. Exponential Differentiation:                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}
  5. Rewrite:                                                                                                         \displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}
  6. Factor:                                                                                                           \displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

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

Unit: Differentiation

7 0
2 years ago
5. (07.02)
Mrrafil [7]

Answer:

Zero solutions.

Step-by-step explanation:

4x - 8 - 4x = 9

-8 = 9

No solutions.

7 0
3 years ago
Read 2 more answers
Graph this function: f(x) = x2-4x - 5<br> Step 1: Identify a and b.
Lina20 [59]

Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5

Step-by-step explanation:

4 0
3 years ago
A density graph for all of the possible times from 50 seconds to 300 seconds
vazorg [7]

Answer: D. The probability of a time from 75 seconds to 250 seconds.

Step-by-step explanation:

We know that a density curve graph for all of the possible values  from a  to b can be used to find the the probability of the values from a to b .

Given: A density graph for all of the possible times from 50 seconds to 300 seconds.

Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.

From all the given option only option D gives the interval which is lies in the above range.

i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.

8 0
2 years ago
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