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GREYUIT [131]
3 years ago
9

Twice the sum of a number and 3 is equal to three times the difference of the number and 3

Mathematics
2 answers:
lana66690 [7]3 years ago
7 0
<span>Twice the sum of a number and 3 = 2(n + 3)
</span><span>three times the difference of the number and 3 = 3(n - 3)
so
</span><span>Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
</span>2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15

answer
2(n + 3) = 3(n - 3)
n = 15
bearhunter [10]3 years ago
4 0
Hi Hailey!

2(x + 3) = 3(x - 3)

Explanation:
> Twice translated to mathematical terms is x 2. 

> Sum is the result of the operation addition.

> Variables stand for an unnamed or unknown number(s). 'A number' indicates that we don't know what number it is exactly, therefore it'll be represented as a variable. 

> Equal to indicates the equality sign, thus making this an equation.

> Three times = x 3

> Difference is the result of the operation subtraction.

>  Multiplication goes before addition and subtraction in the PEMDAS rule, however parenthesis comes before multiplication. The x + 3 and x - 3 are in parentheses because we need the sum and difference between x and 3 first before multiplying it.
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Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

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If the function f(x) is reflected over the x-axis, the resulting function will be

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This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

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Step-by-step explanation:

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