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2 years ago

7

Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x − 2

1 answer:

Mnenie [13.5K]2 years ago

7 0

C. The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 10 units.

Sure hope this helps you and good on whatever math test or exam is coming up soon!! :D

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Am going to presume you want it solved.
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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

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Step-by-step explanation:

Let the numbers be x,y, where x>y

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$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

l

and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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