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9966 [12]
3 years ago
13

What is the domain of f(x)=2(x+3)^2-8

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
F(x) = 2(x + 3)² - 8 - it's a quadratic function

The domain of the quadratic function is equal all real numbers.
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y = 10.50x + 65

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Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common fa
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2 years ago
The number of cubic inches in the volume of a 6-inch high cylindrical can equals the number of square inches in the area of the
Svetradugi [14.3K]

Answer:

In inches, the radius of the can is <u>2</u>.

Step-by-step explanation:

Given:

The number of cubic inches in the volume of a 6-inch high cylindrical can equals the number of square inches in the area of the label that covers the lateral surface of the can.

Now, to find the radius of the can in inches.

Let the radius of can be r.

Height of can = 6\ inches.

<em>As given, the number of cubic inches of the volume of the cylindrical can equals the number of square inches in the area of the label that covers the lateral surface of the can.</em>

<em><u>So, </u></em>

<em><u>Volume of can = lateral surface area of can.</u></em>

Now, we put formula of volume and lateral surface area of cylinder:

\pi r^2h=2\pi rh

\pi \times r\times r\times 6=2\times \pi \times r\times 6

<em>Dividing both sides by </em>\pi \times r<em> we get:</em>

<em />r\times 6=2\times 6<em />

<em />6r=12<em />

<em>Dividing both sides by 6 we get:</em>

r=2.

Therefore, in inches, the radius of the can is <u>2</u>.

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