Answer:
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The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)
<h3>What is the solution set for inequality?</h3>
The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.
Given that:
By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:
Therefore, the parabola properties are:
- The solution set of the domain is (-∞, ∞)
- Vertex(h,k) = (1, -9)
- Focal length |p| = 1/4
Learn more about the solution set of inequality here:
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Answer:
Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
So in this interval the rate of change is 1.73
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.