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2 years ago

4 Use the Distributive Property to rewrite the expression: 3(3x + 6)

Mathematics

2 answers:

neonofarm [45]2 years ago

7 0

Answer:

D = 9x + 18

Step-by-step explanation:

Distributive Property: allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

In 3(3x + 6), 3 is distributed:

(3)(3x)+(3)(6) = 3 being distributed to both terms: 3x and 6

=9x+18 = after being multiplied

D should be the answer so I hope this helps!

Anit [1.1K]2 years ago

6 0

$3(3x+6)=9x+18$

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The correct works are:

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<h3>Function Notation</h3>

The function is given as:

$Blue(s) = 2s^2 + 3$

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

$Blue(s + h) = 2(s + h)^2 + 3$

Evaluate the exponent

$Blue(s + h) = 2(s^2 + 2sh + h^2) + 3$

Expand the bracket

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

So, the correct work is:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

$Blue(s) = 2s^2 + 3$

The difference quotient is represented as:

$\frac{f(x + h) - f(x)}{h}$

So, we have:

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}$

Evaluate the like terms

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}$

Evaluate the quotient

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Hence, the correct work is:

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Read more about function notations at:

brainly.com/question/13136492

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