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.
30 I think just saying because 24 apples for 4 sals
Answer:
Part (A) Factored using GCF is: 2(x² + 2) → (GCF is 2)
Part (B) Factored using GCF is: 2x³(3x-1) → (GCF is 2x³)
Step-by-step explanation:
Greatest Common Factor or GCF, is whichever value that fits into both terms. For example if you have 2, 4, and 6, 2 is the biggest value that fits into all 4 terms.
To factor using GCF, simply find the GCF of both terms, and take it out, then multiply what you have remaining by whatever the GCF is.
1) x=6, y=3
2) no solution
Answer:Scott is over 3 times older that Kate
Step-by-step explanation:
Kate is 3 years old. Her brother, Scott is 10 years old.
A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes
10/3
B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore
10/3 = 3.33
Therefore, Scott is over 3 times older that Kate
