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3 years ago

Rationalize the denominator of 5√3+3√5 ÷ 5√3+3√5

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

$1$

Step-by-step explanation:

$\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }$

$=1$

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Step-by-step explanation:

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3 years ago

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

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3 years ago

Can someone answer number 11?

Anna71 [15]

Answer:

Step-by-step explanation:

To be rational means to be able to express the result as the ratio of two whole numbers.

a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational

b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational

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