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3 years ago

Write an equation to represent the following description. The difference of seven times a number and 15 is 41.

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

Answer: 3

7x + 15 = 41 or 7x - 15 = 41

egoroff_w [7]3 years ago

6 0

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

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Afina-wow [57]

Answer:

$(2x^3)^3=8\cdot x^{9}$

Step-by-step explanation:

<u>Properties of Exponents</u>

The property called Power to a Power shows us how to simplify expressions of the type:

$(x^n)^m=x^{n*m}$

Similarily the property called Power of a product simplifies expressions like:

$(x.y)^n=x^n.y^n$

The company mentioned in the question uses the expression

$(2x^3)^3$

millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.

First, use the power of a product property:

$(2x^3)^3=2^3\cdot (x^3)^3$

Now use the power to a power property:

$(2x^3)^3=2^3\cdot x^{3*3}$

Operate:

$\mathbf{(2x^3)^3=8\cdot x^{9}}$

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