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
Sphinxa [80]
1 year ago
10

Sorting Quadratic Function Discriminants

Mathematics
1 answer:
nataly862011 [7]1 year ago
5 0

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

You might be interested in
Mark and his friends ordered 2 pizzas. The same size
disa [49]
We know that

<span>They cut the first pizza into 6 equal slice---> each slice is 1/6 of a whole pizza

</span><span>They cut the second pizza into 4 equal slices---> each slice is 1/4 of a whole pizza

</span><span>Each person plans to get 2 slices

case 1) one slide pizza 1 and one slide pizza 2
total pizza=(1/6)+(1/4)----> (4+6)/24----> 10/24----> 5/12 of a whole pizza

case 2) two slides pizza 1
total pizza=2*(1/6)-----> 2/6----> multiply by 2-----> (2/2)*2/6---> 4/12 
so
4/12 < 5/12-------> Mark is correct</span>
5 0
3 years ago
Solve the system by elimination (show all work)
Snezhnost [94]

Answer:

[1, 1, 0]

Step-by-step explanation:

{−2x + 2y + 3z = 0

{−2x - y + z = −3 ←

{2x + 3y + 3z = 5 ←

2y + 4z = 2 ↷

{−2x + 2y + 3z = 0 ←

{−2x - y + z = −3

{2x + 3y + 3z = 5 ←

5y + 6z = 5 ↷

{5y + 6z = 5

{2y + 4z = 2

−⅖[5y + 6z = 5]

{−2y - 2⅖z = −2 >> New Temporary Equation

{2y + 4z = 2

____________

1⅗z = 0

___ _

1⅗ 1⅗

z = 0 [Plug this back into both equations above to get the y-term of 1, then plugging both z-term and y-term into all three equations at the very top, will give you the x-term of 1]; 1 = y; 1 = x

I am joyous to assist you anytime.

8 0
3 years ago
Help me asap please!!
schepotkina [342]

Answer:

y = 1.6 x

y = 24

Step-by-step explanation:

The general equation of a direct variation is

y = k x

In this case

x = 10

y = 16

y = k*x

16 = 10*k

16/10 =  k

k = 1.6

y = 1.6x

================

Let x = 15

y = 1.6 * 15

y = 24

7 0
3 years ago
What is the value of 64 1/3
Marizza181 [45]

Answer:

64.3333333333

Step-by-step explanation:

Simplify the expression. Tap for more steps... Rewrite 64 64 as 43 4 3 .

7 0
3 years ago
Read 2 more answers
Bob cycles 5.4 km every morning.how many feet are in 5.4 km, given that 1 mile=1.609 km and 1 mile=5,280 feet?
creativ13 [48]

Answer:

17,720 ft

Step-by-step explanation:

5.4 km * (1 mile)/(1.609 km) * (5280 ft)/(1 mile) = 17,720 ft

5 0
3 years ago
Other questions:
  • Write a real-world situation that cloud be modeled by the equation 120+25x=45x
    10·1 answer
  • A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting i
    13·1 answer
  • Round 32.574 to the nearest hundredths
    8·2 answers
  • Which of the expressions is rational?
    6·1 answer
  • Does the point (0, 10) lie on the line y = 2x + 10?
    8·2 answers
  • Natalie purchased a used car for $12, 200 and had to pay 83 % sales tax. How much tax did she pay?
    5·1 answer
  • Consider the dataset below and respond to the questions that follow: Advertisement ($'000) Sales ($'000) 1068 4489 1026 5611 767
    10·1 answer
  • HELP ASAP <br> IF YOU TAKE THE POINTS IM REPORTING U<br> QUESTION IN PIC
    5·2 answers
  • Can you tell which of the following triangles are right and explain your answer? The numbers represent the lengths of the sides:
    12·1 answer
  • Please help me I am stuck
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!