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2 years ago

Draw the parabola's axis of symmetry.

Mathematics

1 answer:

a_sh-v [17]2 years ago

8 0

This line will land vertically on the -3 line.

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Why did large numbers of Africans migrate to the Americas? A. Countries competed over resources during the Age of Exploration, a

Marianna [84]

Answer:DEFINITELY B

THE PROOF IS IN YOUR BIBLE

Step-by-step explanation:

7 0

2 years ago

Find the derivative of

kirill [66]

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

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

Step 2: Differentiate

[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]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

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

2 years ago

The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.

bearhunter [10]

The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.

4 0

2 years ago

Simplify 3/5-6i A.15+18i/61 B.-15+18i/61 C.3i/6+5i D.15+18i/-11

GrogVix [38]

Answer:

15/61+18/61i

Step-by-step explanation:

6 0

2 years ago

What is 2x-3y=7 please help thanks

Dennis_Churaev [7]

Simplifying -2x + -3y = -7

Solving -2x + -3y = -7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation. -2x + -3y + 3y = -7 + 3y

Combine like terms: -3y + 3y = 0 -2x + 0 = -7 + 3y -2x = -7 + 3y

Divide each side by '-2'. x = 3.5 + -1.5y Simplifying x = 3.5 + -1.5y

3 0

2 years ago