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3 years ago

What are the factors of the equation when it’s in factored form? 2a^2 + 8a - 15 = 3a - 3

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

(2a+3 ) (a-4 )=0

Step-by-step explanation:

2a^2 + 8a - 15 = 3a - 3

Subtract 3a from each side

2a^2 + 8a-3a - 15 = 3a-3a - 3

2a^2 + 5a - 15 = - 3

Add 3 to each side

2a^2 + 5a - 15+3 = 3 - 3

2a^2 -5a -12=0

(2a+3 ) (a-4 )=0 These are the factors

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2 years ago

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism

AleksAgata [21]

Answer:

$\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle V_P = 2x^3 - 6x^2 + 8x$

$\displaystyle V_C = 27x^3$

Step 2: Find Combined Volume

[Set up] Add: $\displaystyle V_P + V_C = V_{P + C}$
Substitute in variables: $\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x$
Combine like terms: $\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

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