1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vedmedyk [2.9K]
2 years ago
11

flvs hope If $x^2+bx+16$ has at least one real root, find all possible values of $b$. Express your answer in interval notation.

Enter your answer Focus Quadratic Inequalities 18 Week 5 Quests © 2018 Art of Problem Solving Terms Privacy Contact Us About Us ap
Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0
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.
You might be interested in
Tam sayılı kesirleri anlatır mısınız?​
Afina-wow [57]

Bir tam sayı ve bir basit kesir ile ifade edilen kesirlere taam sayılı kesir denir.

4 0
2 years ago
At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price
lions [1.4K]

\frac{75}{100}  =  \frac{90.75}{x}  \\ x = \frac{90.75 \times 100}{75}  =  \frac{9075}{75}   = 121
the answer is 121
6 0
3 years ago
3 + 3 x 3 - 3 + 3 =?
SCORPION-xisa [38]
12, 3x3 = 9, +3 =12-3=9+3=12
3 0
3 years ago
Read 2 more answers
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
MaRussiya [10]

Answer:

13

Step-by-step explanation:

because

5 0
3 years ago
Read 2 more answers
The answer to a division problem is greater than the divisor always never or sometimes pick one
Ksenya-84 [330]
Sometimes..... 
hope this helps! :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • 5 ft is ____ % of 37 1 2 ft; 37 1 2 ft is ____ % of 5 ft
    8·1 answer
  • Amars dog eat 1 1/4 of dry dog food everyday. How many days will a 35-pound bag of dog food last?
    5·1 answer
  • Sasha's grandmother loves to travel. She sends Sasha postcards from all around the world. Sasha keeps the postcards in a special
    5·1 answer
  • 10) Given sin 0 = 0.259 and tan 0 = -0.268,
    5·1 answer
  • Kurt is building a rectangular deck. if the dimensions of the deck are 10 ft by 23 ft, what the length of the diagonal of the de
    7·1 answer
  • 12=3x-6
    8·2 answers
  • I need help which triangle theorem do I use for these
    11·1 answer
  • Which relation is a function of x?
    14·2 answers
  • WILL MARK BRAINLIST please help with #12
    14·1 answer
  • Can anyone give me this answere
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!