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3 years ago

P + 12 > 9 A. p > 21 B. p > 3 C. p > –21 D. p > –3

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

D. p>-3

Step-by-step explanation:

step1

move 12 to the other side

p>9-12

when you move it changes it's sign from positive to negative

p>-3

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3 years ago

Find the sum of the first five terms of the geometric series 1+3+9+...

Nitella [24]

Good evening ,

Answer:

B. 121

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the inverse of function f. f(x)=1/3 - 1/21x

Elena L [17]

Answer:

A. $\displaystyle f^{-1}(x) = 7 - 21x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{1}{3} - \frac{1}{21}x$

Step 2: Find inverse

Rewrite: $\displaystyle y = \frac{1}{3} - \frac{1}{21}x$
Swap: $\displaystyle x = \frac{1}{3} - \frac{1}{21}y$
[Subtraction Property of Equality] Isolate y term: $\displaystyle x - \frac{1}{3} = -\frac{1}{21}y$
[Multiplication Property of Equality] Isolate y: $\displaystyle -21(x - \frac{1}{3}) = y$
[Distributive Property] Distribute -21: $\displaystyle 7 - 21x = y$
Rewrite: $\displaystyle f^{-1}(x) = 7 - 21x$