y = - 
(x - 5)² + 4
the equation of a quadratic in standard form is
y = a(x - h)² + k ( where (h , k ) are the coordinates of the vertex and a is a multiplier )
given vertex = ( 5, 4 ) then
y = a(x - 5)² + 4 ( to find a substitute (7 , 1 ) into the equation )
1= 4a + 4
4a = - 3 ⇒ a = -
y = - (x - 5)² + 4 ← ( in vertex form )
Hi there!
We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)
If b² - 4ac < 0, then the equation will have complex solutions. Therefore:
Plug in the given values of b and a to solve:
7² - 4(2)(k) < 0
Simplify:
49 - 8k < 0
Solve the inequality:
49 < 8k
6.125 < k
k > 6.125. Anything greater than 6.125 would result in complex solutions.
Out of the 52 cards in a deck, there are 13 clubs and 4 aces. The given situation is an inclusive event because out of the 4 aces there is one of them that is a club. The probability therefore,
P(ace) + P(club) - P(inclusive event)
Substituting gives,
4/52 + 13/52 - 1/52 = 4/13
The answer is letter C. 4/13.
66.90% of the total bankruptcy fillings are not chapter 13 fillings.
What is bankruptcy?
This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.
In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings
fillings that were not chapter 13=936,795-310,061
fillings that were not chapter 13=626,734
fillings that were not chapter 13 as % of total fillings=626,734/936,795
fillings that were not chapter 13 as % of total fillings=66.90%
Learn more on bankruptcy on:brainly.com/question/4418659
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Answer:
Fewer hours
Step-by-step explanation:
2/3 is a fraction and shows the parts of a whole. This means that 2/3 of last week is fewer than last week. Last week is the whole for example 15 hours. This week will be 2/3 or 2/3*15 = 10 hours. This week will be less than last week.
