Suppose the exponential regression equation for some data is y=3.7772•1.923^x. When x equals 5 what is the predicated value of y
1 answer:
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We have been given an equation of hyperbola . We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form , where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:
Now we can see that value of k is . Therefore, the vertex of given hyperbola will be at point
and option D is the correct choice.
See the attached figure
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>∴ AD = 16/6 = 8/3 ≈ 2.67
</span>
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>∴ AD = 16/6 = 8/3 ≈ 2.67
</span>