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
larisa [96]
3 years ago
11

Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin

ear function?
0
1
2
3

Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

3

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

ax^2+bx+c=0, a\neq 0

Then to resolve a quadratic equation we apply Bhaskara's formula:

x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}

x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}

It usually has two solutions.

But it could happen that \sqrt{b^2-4ac} then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

You might be interested in
You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one.
Over [174]
There are 6 pockets all together.  You checked two of them and it wasn't
there.  So you can forget about those 2, and now there are 4 pockets left.

The total number of ways for your next try is 4.
The number that will be successful is 1.

The probability of success on the next one is  <em>1/4  =  25% .</em>

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

Another method of solution, somewhat more complex:

Total number of pockets = 6.
Amount of money missing = $10
First partial sum, i.e. sum of numbers
 in the first part of the problem = 6 + 10  =  16.

Total number of pockets  =  6
Current value of cargo pants on a fashion scale from 1 to 10  =  -2.
Second partial sum =  6 - 2  =  4.

  Probability = (second partial sum) / (first partial sum) = 4/16  =  <em>25% </em>.


5 0
3 years ago
Module Six Project Option 1
Alex787 [66]
The answer is b that’s what i would pick
6 0
3 years ago
An 18 foot ladder touches a building 14 feet up the wall.
saw5 [17]
Check the picture below.

make sure your calculator is in Degree mode.

5 0
3 years ago
Read 2 more answers
Use long division to find the value of 1,875 - 15​
Georgia [21]

Answer:

1860

Step-by-step explanation:

1875-15 = 1860

7 0
3 years ago
Graph the equation y=-4/3x + 2​
vaieri [72.5K]

Answer:

plz if you knew if you new it plz tell me

6 0
2 years ago
Other questions:
  • ALGEBRA 1 HELP URGENT!!!
    8·1 answer
  • On the graph of the equation X-4Y= -16 what is the value of the Y-intercept?
    6·1 answer
  • Slope intercept form of -2x - 11y = 5
    12·1 answer
  • Add using a number line. 56+(−116) Drag and drop the word SUM to the correct value on the number line.
    12·1 answer
  • What measure describe a isosceles triangle
    6·1 answer
  • alan drew a polygon with four sides and four angle. All four sides are equal. None of the angle are right angle. What figure did
    14·1 answer
  • What is 4/5 in simplest form
    6·2 answers
  • 7.
    8·2 answers
  • What is the measure of angle 1?
    14·1 answer
  • A city has a population of 350000 the population has decreased by 30% in the past ten years what was the population Of the city
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!