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3 years ago

How maby solutions does this have 8 + 2 (x - 6 ) = -2 +2x - 2

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

Answer:

This has infinite solutions.

Step-by-step explanation:

Key skills needed are: One variable equations, Algebra, Adding/Subtracting Like Terms

1) We first start with the equation: 8 + 2 (x - 6 ) = -2 +2x - 2

2) We first need to use distribution property for the parentheses.

We need to distribute the 2 to the x and the -6.

3) This would be 8 + 2x - 12 = -2 +2x - 2

4) The next thing to do is combine like terms.

Like terms are terms with the same variable, or no variable at all. 8 and 6 would be like terms, and 2x and 4x would be like terms. 2x^2 and 4x would not be like terms as one has x^2 and the other has only x.

3) Now you know what like terms are, you can implement this into the problem --> Combine the 8 and 12 on the left side + Combine the -2 and -2 on the right side ----> 2x-4 = 2x-4

4) Since both sides have the same exact thing (both sides have 2x-4) this equation has infinite solutions.

Hope you understood and have a nice day!! :D

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2 years ago

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we know that

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3 years ago

The volume of this cone is 602.88 cubic inches. What is the radius of this cone?

choli [55]

Answer:

Step-by-step explanation:

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where,

h is the height 9 in (assuming)

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Plug in everything:

$602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8$

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2 years ago

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ale4655 [162]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)
Factoring
Function Notation
Terms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

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Step-by-step explanation:

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Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
[Limit - Fraction] Expand [FOIL]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
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[Limit - Fraction] Combine like terms (x²): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}$
[Limit - Fraction] Combine like terms (x): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}$
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[Limit - Fraction] Simplify: $\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7$
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