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3 years ago

Which is equivalent to the following expression?

Mathematics

2 answers:

vichka [17]3 years ago

7 0

30m +21

4(9m + 3) + 9 - 2(3m), distribute the numbers into the parenthesis
36m+12+9-6m, combine like terms
30m + 21

garik1379 [7]3 years ago

6 0

Answer:

$\huge{ \bold{ \boxed{ \text{30m + 21}}}}$

Step-by-step explanation:

$\text{4(9m + 3) + 9 - 2(3m) }$

$\text{Step \: 1} : \text{Distribute \: 4 \: through \: the \: parentheses}$

➵ $\text{36m + 12 + 9 - 2(3m)}$

$\text{Step \: 2} : \text{Multiply \: 2 \: by \: 3m}$

➵ $\text{36m + 12 + 9 - 6m}$

$\text{Step \: 3 : \: Combine \: like \: terms}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}$

➵ $\text{36m - 6m + 12 + 9}$

➵ $\text{30m \: + 12 + 9}$

$\text{Step \: 4 : Add \: the \: numbers}$

➵ $\text{30m \: + \: 21}$

$\sf{Hope \: I \: helped}$ !

$\sf{Best \: regards}$ !

~TheAnimeGirl

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2 years ago

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3 years ago

If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)

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Answer:

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3 years ago

A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio

MAXImum [283]

Rate of change of profit for this period is $2750 per month

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Given that,

Profit of $6500 in January and $17,500 in May

To find: Rate of change

Since,

January is the first month of the year (1) while May is the fifth month (5)

Therefore, we get two points

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

The rate of change using the following formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here from the points,

$(x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)$

Therefore, rate of change is given as:

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3 years ago