F(x) = x² - 10x - 4
f(x) + 4 = x² - 10x
- 10x / 2 = - 5x
- 5² = 25
f(x) + 4 + 25 = (x² - 10x + 25)
f(x) + 29 = (x-5)²
f(x) = (x-5)² - 29
D. 25
Answer:
x = 4
Step-by-step explanation:
By looking at the graph we can see the vertical asymptote is the vertical line in the graph. This line goes through x = 4, and no matter what y is, x equals 4, as shown. Therefore, the equation of the vertical asymptote is x = 4.
Answer:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
And using the probability mass function we got:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
A = first angle, b = 2nd angle, c = 3rd angle
a = 2b
c = b + 80
a + b + c = 180
2b + b + b + 80 = 180
4b + 80 = 180
4b = 180 - 80
4b = 100
b = 100/4
b = 25 <=== 2nd angle
a = 2b
a = 2(25)
a = 50 <=== 1st angle
c = b + 80
c = 25 + 80
c = 105 <=== 3rd angle
Answer:
C
Step-by-step explanation: