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inessss [21]
3 years ago
7

Write an equation for a rational function with:

Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

f(x)=(7(x-2)(x+5))/((x-1)(x+1))

Step-by-step explanation:

The vertical asymptotes should be in the denominator. The x-interceps should be in the numerator. Because the horizontal asymptote is y=7, you have to put 7 in the numerator because the horizontal asymptote is the coefficient of the numerator ÷ the coefficient of the denominator, when we have the same degree of the numerator and the denominator.

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Vsevolod [243]
23-8= 15 degrees it increased by 15 degrees
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3 years ago
Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

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

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
3 years ago
I need help on this problem. I got half of it right but I don’t know how I got the last answer wrong... Can anyone please help m
morpeh [17]
I got the same answer as you. Try to ask your teacher about it since it’s a math problem online or something.
8 0
3 years ago
Need help on both plz help me ASAP!
siniylev [52]

Answer:

graph 1= 3. graph 2= -3

Step-by-step explanation:

the y-intercept is where it cuts the line

therefore,

graph 1=3

graph 2=-3

6 0
3 years ago
Read 2 more answers
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