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3 years ago

8

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

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

ArbitrLikvidat [17]

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

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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>

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

<u>Step 3: Solve</u>

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

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almond37 [142]

581.25 is what your paying and you are saveing 43.75

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3 years ago

Read 2 more answers

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