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
Semenov [28]
3 years ago
12

1.What is the shape of the graph of any quadratic function?

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

Inverted parabola

Two complex solution

Step-by-step explanation:

any quadratic equation can be expressed in terms of ax^2 + bx + c = 0

It has two solutions which can be found using formula X =( -b + \sqrt{b^2 -4ac} )/2a \\or  \ ( -b - \sqrt{b^2 -4ac} )/2a

We know that  for any value inside the square root function

if it is positive its solution will be real number

for example  \sqrt{9} we can have two real solution -3 and 3

if it is negative its solution will be complex number

for example  \sqrt{-9}we can have two complex solution

expressed in term of a + ib or a - ib

------------------------------------------------------------------------------------------

Given in the problem

we have  ax^2 - bx + c

so its solution will be

X =( -(-b) + \sqrt{b^2 -4ac} )/2a \\or  \ ( -(-b) - \sqrt{b^2 -4ac} )/2a\\\\X =( b + \sqrt{b^2 -4ac} )/2a \\or  \ ( b - \sqrt{b^2 -4ac} )/2a\\

Since in this expression it is given in problem statement that b^2 - 4ac < 0 which will be a negative number and for negative number, its square root is complex number.

also X has two values as given above it will have two solution

hence it will have two complex solution based on above discussion.

Also for any quadratic equation shape of its curve if plotted on coordinate plane is parabolic.

If it has complex solution then curve of such expression  will not pass through X axis

You might be interested in
Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh
Sergeu [11.5K]

Answer: 15/91 which is choice B

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

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

5 0
2 years ago
Read 2 more answers
What is a coefficient ?
Ahat [919]
A coefficient is a number that is attached to a term.

For example:

3x² - 5x + 6 = 0                 

The coefficient of x² is 3.

The coefficient of x = -5. 

Hope this explains it.
8 0
3 years ago
Find the slope of the line through the given points (9,2) and (7,8)
Kipish [7]
The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:

slope=(8-2)/(7-9)=6/-2=-3

m=-3
3 0
2 years ago
All of the following are types of triangles except
prisoha [69]
C. reflex, because all of the others are triangles
6 0
3 years ago
Try This question for Me and I’ll give you brainliest
Inessa [10]
Answer is 2 batches. Because she has five eggs and the plain pasta uses 2 so if she’s trying to do both of them she’ll only have two eggs left and using 8 cups of flour. Making two batches of spinach pasta.
7 0
2 years ago
Other questions:
  • a profit of 24% was made when a book was sold for 34.10$ find the selling price that would have given a profit of 28%​
    7·2 answers
  • If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.
    11·2 answers
  • Roland and Sam wash dogs to make extra money. Roland can wash all of the dogs in 4 hours. Sam can wash all of the dogs in 3 hour
    12·2 answers
  • which of the following answer choices is equal to the sum of three consecutive odd integers? 153,154,155,156 or 157
    12·1 answer
  • A bag contains 6 cherry, 3 orange, and 2 lemon candies. you reach in and take 3 pieces of candy at random. find the probability.
    15·1 answer
  • PLEASE HELP FAST!!!!!!!!!
    10·1 answer
  • Please help! will give brainlist
    10·1 answer
  • HELP ME OUT BRO PLEASE I HONESTLY DONT KNOW WHAT THIS QUESTION MEANS, I JUST DONT KNOW WHAT TO DO
    12·1 answer
  • Math work geometry help please
    11·1 answer
  • 1) In class you worked with a "big" cube made of 27 smaller cubes each of which was 1 cmby 1 cm by 1 cm. Suppose you had 150 of
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!