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3 years ago

9

May someone please help me with this Math problem, Thank you

1 answer:

Semmy [17]3 years ago

8 0

Answer:

c. 10

Step-by-step explanation:

Eliminate parentheses using the distributive property.

3(b+4) -2(2b+3) = -4 . . . . given

3b +12 -4b -6 = -4 . . . . . parentheses eliminated

-b +6 = -4 . . . . . . . . . . . . collect terms

-b = -10 . . . . . . . . . . . . . . subtract 6

b = 10 . . . . . . . . . . . . . . . . multiply by -1

_____

The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.

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Use the distributive property to simplify this expression: 0.1(2x+3)

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$\huge\text{Answer:}$

$\huge\mathrm{0.2x+0.3}\checkmark$

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Hi there, hope you are having a great day! :)

<em /> $\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}$

The Distributive Property is a property which states that

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2 years ago

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3 years ago

The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

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3 years ago