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2 years ago

The function g is defined as g(x)=5x² – 3. Find g(x+1).

Mathematics

1 answer:

maksim [4K]2 years ago

8 0

Answer:

Step-by-step explanation:

g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = <em>5x² + 10x + 2</em>

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a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

$A = \pi r^{2}$

Where:

r: is the radius

For the 12-inch pizza we have:

$A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch$

And for the 6-inch pizza we have:

$A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch$

The ratio between A₆ and A₁₂ is:

$\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}$

Hence:

$A_{6} = \frac{A_{12}}{4}$

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!

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