Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
<h3>
What can we say about the discriminant?</h3>
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
- If D = 0, there is only one real zero.
- If D > 0, there are two real zeros.
- If D < 0, there are two complex zeros.
In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
If you want to learn more about quadratic equations:
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Answer:
The upper endpoint of the 99% confidence interval for population proportion is 0.13.
Step-by-step explanation:
The confidence interval for population proportion is:
<u>Given:</u>
<em>n</em> = 1000
= 0.102
*Use the standard normal table for the critical value.
Compute the 99% confidence interval for population proportion as follows:
Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.
Answer:
(A) 
Step-by-step explanation:
The number of laughs (denoted by L) is a function of
- The number of jokes (denoted by J),
- The amount of knowledge about the joke material (denoted by K).
Given 
The appropriate measurement unit for number of laughs will be:
Half of the starting amount remains after 1 half-life. So after 6 half-lives, the starting amount is halved 6 times, meaning that a 195 g sample would decay down to
(195 g)/2^6 = 195/64 g ≈ 3 g
Answer:
6.5x^2 + 5.5x + 1
Step-by-step explanation:
6.5 x * x + 5 .5 x + 1 can be re-written as 6.5x^2 + 5.5x + 1, or as:
65x^2 + 55 + 10
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10
