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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.

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3 0
3 years ago
I NEED HELP AND FAST PLEASE!!! I’m not sure if I chose the right answer or not!!
jok3333 [9.3K]

Answer:

d

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative
kondor19780726 [428]

Using it's concept, the rate of change between point C and point D is of 2.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:

r = \frac{f(b) - f(a)}{b - a}

Considering the points of the given linear function, we have that:

  • Point C: f(1) = 2.
  • Point D: f(2) = 4.

Hence the rate of change between point C and point D is given by:

r = (4 - 2)/(2 - 1) = 2.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

4 0
11 months ago
Roland is purchasing pottery supplies for his pottery class. He buys a portable pottery wheel for $382 modeling clay is $12, and
tatuchka [14]
To find the total cost of Roland's purchases, you will add $382 plus $12 plus $16.14 together to find the total spent.

$410.14.

Next will be to calculate the new price based on the sales tax rate. To do this you will multiply the cost by 1.0825. This includes everything you paid and the sales tax

410.14 x 1.0825 = $443.98

Roland's total price was $443.98.
8 0
2 years ago
The modulus of (3 + 4i)4 is _____.<br><br> 5<br> 20<br> 125<br> 625
vladimir1956 [14]
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
6 0
3 years ago
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