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NISA [10]
3 years ago
13

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?

Mathematics
1 answer:
Contact [7]3 years ago
3 0

The expression simplified is \frac{3}{x}

Step-by-step explanation:

The expression given in this problem is

\frac{(x+3)^2-(x^2+9)}{2x^2}

We proceed in the following way:

- First, we solve the square of the brackets:

\frac{x^2+6x+9-x^2-9}{2x^2}

- Now we add/subtract the similar terms:

\frac{(x^2-x^2)+6x+(9-9)}{2x^2}=\frac{6x}{2x^2}

- And now we simplify by 2x, and we get:

\frac{6x}{2x^2}=\frac{3}{x}

Learn more about simplification:

brainly.com/question/7014769

brainly.com/question/1430645

#LearnwithBrainly

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A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
natima [27]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

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If we plot this function, we have the graph shown in the image attached,

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7 0
3 years ago
If 4 electricians can complete a job in 8 hours how long will it take 3 electricians to complete the same job
levacccp [35]
We know that

if <span>4 electricians can complete a job in 8 hours
then
</span>100% of a job -------> 8 hours
x------------------> 1 hour
x=100/8----> x=12.5%

divide by 4 electricians
12.5%/4-----> 3.125%
that means each electrician can complete 3.125% of a job in 1 hour

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x=100/9.375----> x=10.67 hours

the answer is
10.67 hours

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3 years ago
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