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.
Well, each one takes two minutes, regardless of how many brothers there are. If it takes 2 minutes per paper, then the answer is simply 147*2. Which is 297 minutes. Even if one of them was delivering papers, the answer would be the same. These extra numbers are put in there to confuse you. Dont forget that, be careful what you read.
The answer is 15%
Explanation:
Team A has 42 members and team b has 18 more than team A so team b has 60 members. In order for the teams to be equal, there’d need to be 51 people on each team(60+42/2=51). There are 9 extra people on team b, so we need 9/60 , divide and you get 15%.
Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
