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Marysya12 [62]
3 years ago
5

Simplify: 18q2−45q+25/9q2−25.

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

\frac{(6q-5)}{(3q+5)}

Step-by-step explanation:

Given: \frac{18q^{2}-45q+25 }{9q^{2}-25 }

Factorizing the numerator and the denominator, we have:

18q^{2} - 45q + 25 = 18q^{2} - 30q - 15q + 25

                         = (3q - 5)(6q - 5)

and

9q^{2} - 25 = (3q - 5)(3q + 5)

So that,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}

                 = \frac{(6q-5)}{(3q+5)}

Therefore,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(6q-5)}{(3q+5)}

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Answer: A

<u>Step-by-step explanation:</u>

The vertical asymptote is the restriction on the x-value.  Since the denominator cannot be equal to zero, then x + 1 ≠ 0 →  x ≠ -1.     So, the vertical asymptote is: x = -1  

The horizontal asymptote is the restriction on the y-value.  Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.  However, there is a vertical shift of 2 units up so the horizontal asymptote is: y = 2  

The only graph that displays these asymptotes is the first graph, <em>which I call graph A.</em>


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3 years ago
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3 years ago
What is the discriminant of 3 x squared minus 10 x = negative 2?
sasho [114]

<u>Answer</u>:

The discriminant of 3 x squared minus 10 x = negative 2 is  76

<u>Explanation</u>:

<u>Given</u>:

3x^2-10x=-2

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We can find out the discriminant by using the formula

D=b^2-4ac

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Now put all these values of a,b and c in the formula of discriminant to find out the value of D

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So the discriminant of the given quadritic equation = 76

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3 years ago
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Answer:

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