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prohojiy [21]
3 years ago
8

Evaluate xy + 9, if x = 7 and y = 9.

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
Hi there! We know that x=7 and y=9, so we are going to set up a problem. The problem is going to be 7*9+9. 7*9+9=72. Therefore, the answer is 72.
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every 10 years the shrum family has a reunion. every 2 years they meet for a dinner. How often does the reunion fall in the same
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Every 10 years
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3 years ago
Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

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

Unit: Derivatives

Book: College Calculus 10e

6 0
3 years ago
Sweet t has 2 orange picks for every green pick. if six of the picks are green how many are orange.
klemol [59]

There 12 orange picks because 2 x 6 = 12  

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3 years ago
Read 2 more answers
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581.25 is what your paying and you are saveing 43.75
7 0
3 years ago
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Use a net to find the surface area of the right triangular prism shown:
erma4kov [3.2K]

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

3 0
2 years ago
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