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3 years ago

The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?

Mathematics

1 answer:

QveST [7]3 years ago

6 0

Answer:

A. A horizontal shift to the right 7.5 units

Step-by-step explanation:

Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.

In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.

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3 years ago

Read 2 more answers

Find the simplified product:<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2x%5E%7B3%7D%20%7D-%5Csqrt%7B18x%5E%7B5%7D%20%7D" id="Te

mash [69]

Correct Question: Find the simplified product: $\sqrt{2x^3}*\sqrt{18x^5}$

Answer:

$6x^4$

Step-by-step explanation:

Based on the rules of radicals, since $\sqrt{2x^3}$ and $\sqrt{18x^5}$ has the same index (square root), therefore:

$\sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5}$

To simplify this, multiply their bases together, and add their exponents.

$= \sqrt{2*18x^{3+5}$

$= \sqrt{36x^{8}$

Simplify further

$= \sqrt{36}*\sqrt{x^8}$

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3 years ago

How many halves are in 2 whole objects

steposvetlana [31]

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3 years ago

What is the value of x?

Vikki [24]

Answer:

x= 12.33333333333

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3 years ago

Mr. Miller has a 20-foot ladder, which he

dimulka [17.4K]

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

$b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}$

$b=\sqrt{72}$

$b= 8.49 ft$

round to the nearest foot,

b = 8 ft

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3 years ago