If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
Answer:
The Black Stallion, known as the Black or Shêtân, is the title character from author Walter Farley's bestselling series about the Arab stallion and his young owner, Alec Ramsay. The series chronicles the story of a sheikh's prized stallion after he comes into Alec's possession, although later books furnish the Black's backstory. Shaytan (under various transliterations) is the Arabic word for "devil".
Answer:
1- yes
2- yes
3- no
4- no
5- no
6- yes
Step-by-step explanation:
Answer:
(4^3)3 and 4^3 • 4^3 = 192 and 4096 = No
(3^4)^4 and 3^8 • 3^8 = 43046721 and 43046721 = Yes
6^4 • 3^4 and 18^8 = 104976 and 11019960576 = No
4^3 • 5^3 and 2^0 = 8000 and 1 = No
Answer:
36
Step-by-step explanation:
3.6 * 10 = 36
