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3 years ago

F(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer:

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

= x² + 8x + 16 - 3x - 12 - 2

= x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

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3 years ago

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3 years ago

How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if th

notsponge [240]

The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.

The mark up percentage is given by:

Mark up percentage = (selling price - cost price)/cost price

Since the original price is $1500, hence:

30% = (selling price - 1500)/1500

0.3 = (selling price - 1500)/1500

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Final selling price= 1950 - 20% of 1950 = 1560

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Hence $60 profit was made by the store for the sale of a flat screen TV.

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3 years ago

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi

gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ .

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$ . The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$ .

Multiply 3.14 and 64 to get 200.96. The equation is now $\frac{4}{3}(200.96)$ or $\frac{4}{3} * \frac{200.96}{1}$ .

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of $\frac{803.84}{3}$ .

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

8 0

3 years ago