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3 years ago

What is rational number and arithmetic number

Mathematics

1 answer:

Oduvanchick [21]3 years ago

5 0

$\huge \mathtt \blue{answer}$

Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

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3 years ago

Read 2 more answers

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
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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

3 years ago

Solve : X^2 - 3x = -8 And Solve : -2x^2 - 16x - 44 = 0

Aleonysh [2.5K]

Answer:

X = 8/3 + X^2/3

X = -4 ± i $\sqrt{6}$

Step-by-step explanation:

5 0

3 years ago

Pls helppp and thank you

Naily [24]

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

3 0

3 years ago

The x intercept of a line is -5 and the y intercept of the line I’d -2.what is the equation of the line?

Ivan

Hey!

There are two ways to solve this problem, I have showed you both of them below:

Method 1 -:

So we know that the x-intercept of the line is at (-5,0) and the y-intercept is at (0,-2). The most common form of the equation of a line is the slope-intercept form which is written as y=mx+b. In this equation, y and x are two points on the line, m is the slope and b is the y-intercept.

We are given the value of b which is -2. We also know two points on the line so we can find the slope. The formula for slope is (y2-y1)/(x2-x1). We can now plug in the points into the equation and get (0-(-2)/(-5-0). This simplifies to -2/5. That is your slope.

Now that we know this, we have solved for everything we need for writing the equation of the line. The equation of the line is:

y = (-2/5)x - 2

Method 2 -:

This method is a bit easier but will still give you the same result. Since you already know the y-intercept as -2, you know the value of b. You also have atleast one point so you can just plug it into the equation y = mx + b.

Now you can just plug in a point for x and y. We also know the x-intercept and that might be easier to use for solving. The x-intercept is (-5,0) and we can plug this into the equation to get 0 = m(-5) + (-2). We can now rewrite this as 0 = -5m - 2.

The next thing we do is solve for x:

0 = -5m - 2

2 = -5m

-2/5 = m

Now we know that m = -2/5, we can put this into the equation along with the y-intercept to get our answer.

y = (-2/5)x - 2

6 0

3 years ago

What is rational number and arithmetic number​

What is rational number and arithmetic number