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3 years ago

Seven more than three times a number is thirty-one. Write an equation

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

Answer:

As an equation, (we'll use x as the variable), that word problem is 3x+7=31.

To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.

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PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!

statuscvo [17]

THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺

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3 years ago

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Multiply. Write your answer in standard form 3i(-5+i)

ipn [44]

-14i is the answer to the equation

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3 years ago

X + 1 / 2 - 1 = 1 / 4

Nimfa-mama [501]

First, make the mixed fraction into improper fraction,

x−12=54

Add 1/2 on both sides

x−12+12=54+12

Find LCM,

LCM is 4

x=54+1⋅22⋅2

x=54+24

Add

x=74

Or,

x=134

Or,

x=1.75

X=1.75 IS YOUR ANSWER!

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7 0

3 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

3 years ago

Solving simular triangles advanced

Reptile [31]

Answer:

x = 3/2

Step-by-step explanation:

We can use ratios to solve

6 6+x

-------- = -----------

4 5

Using cross products

6*5 = 4 * (6+x)

30 = 24 + 4x

Subtract 24 from each side

30 -24 = 24+4x-24

6 = 4x

Divide each side by 4

6/4 = 4x/4

3/2 = x

3 0

3 years ago

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