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Irina18 [472]
3 years ago
7

Simplify the expression.

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

\boxed{=144--> C.}

Step-by-step explanation:

<u><em>You had to used pemdas stands for: p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract that came from left to right.</em></u>

First you calculate with parenthesis first.

(13-1)^2/2

12^2/2

Then you calculate with exponents.

12^2=12*12=144

144/2

Next, divide from left to right.

144/2=72

144/72=2

72*2=144

2*72=144

=72

2*72

Finally, multiply from left to right.

72*2=144

12*12=144

Final answer: \boxed{=144}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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A caterer charges $120 to cater a party for 15 people and $200 for 25 people.
Jlenok [28]

The equation in slope-intercept form for this function is y = 8 x

The slope represents the unit cost

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Step-by-step explanation:

The linear equation in the form of slope-intercept is:

y = mx + b, where m is the slope of the line and b is the y-intercept

  • m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where (x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line
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A caterer charges $120 to cater a party for 15 people and $200 for

25 people.

Assume that the cost, y, is a linear function of the number of people x

We need to write an equation in slope-intercept form for this function

We need to explain that the slope represent what

We need to find how much a party for 40 people would cost

∵ The slope-intercept form of the equation is y = mx + c

∵ y is the cost and x is the number of people

∴ x = 15 and y = 120 is a point on the line

∴ x = 25 and y = 200 is another point on the line

- Now we can use them to find the slope of the line

∵ m=\frac{200-120}{25-15}=\frac{80}{10}

∴ m = 8

∴ y = 8 x + b

- To find b substitute x by 15 and y by 120 in the equation

∴ 120 = 8(15) + b

∴ 120 = 120 + b

- Subtract 120 from both sides

∴ b = 0

∴ y = 8 x

The equation in slope-intercept form for this function is y = 8 x

∵ The slope = change of y ÷ change of x

∴ The slope = cost ÷ number of people

∴ The slope represents the cost per person

The slope represents the unit cost

∵ There are 40 people

∴ x = 40

∵ The equation of the cost is y = 8 x

∴ y = 8 × 40

∴ y = 320

∴ The cost is $320

A party for 40 people would cost $320

Learn more:

You can learn more about the linear function in brainly.com/question/4152194

#LearnwithBrainly

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Answer:

Step-by-step explanation:

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