If you use the scientific notation to simplify these bigger numbers it will make it easier
(x²+4x+3)/2(x²-10x+25)
the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5
the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5
this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)] for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4
Answer:less than
Step-by-step explanation:
1/5 x 2 1/5 = 11/25
2 1/5 as a mixed number is 11/5
so 11/25 is less than 11/5 therefore
1/5 x 2 1/5 < 2 1/5
Answer:
The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!
<em>f(-4) = 13</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>f(x) = 0.5x + 15</em>
<em>replace x = - 4</em>
<em>f(-4) = 0.5×(-4) + 15</em>
<em>= - 2 + 15</em>
<em>= 15 - 2</em>
<em>= 13</em>
<em>Good luck !</em>
