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slega [8]
3 years ago
7

Sorry I also need help with this question

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

(f/g)(x)=\frac{3x+2}{3x-5}

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

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By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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3 years ago
The length of an equilateral triangle is increased by 5 cm. The perimeter of the new triangle is 72 cm. What is the side length
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Answer:

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Step-by-step explanation:

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for example, if the length of the side of the an equilateral triangle is 5, the perimeter is 5 x 3 = 15

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divide both sides of the equation by 3

x + 5 = 24

subtract 5 from both sides of the equation

x = 24 - 5 = 19cm

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Step-by-step explanation:

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