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Lyrx [107]
2 years ago
15

Which is the graph of a quadratic equation that has a negative discriminant?

Mathematics
2 answers:
Andre45 [30]2 years ago
7 0

Answer:

The correct graph is D.

Step-by-step explanation:

Given a quadratic equation :

y=ax^{2}+bx+c

You can find the roots (where the graph intersects the x-axis) applying the following equation :

x1=\frac{-b+\sqrt{b^{2}-4ac}}{2a}

and

x2=\frac{-b-\sqrt{b^{2}-4ac}}{2a}

We define the discriminant as b^{2}-4ac

If b^{2}-4ac>0 then the graph will intersect the x-axis in two points

If b^{2}-4ac=0 then the graph will intersect the x-axis in one point.

Finally, If b^{2}-4ac then the graph won't intersect the x-axis because it will not have real roots.

In this exercise, the graph that doesn't intersect the x-axis is graph D.

Natasha2012 [34]2 years ago
5 0

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

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Answer:

have a nice day

Step-by-step explanation:

5 0
3 years ago
Using the given information, give the vertex form equation for each parabola.
ollegr [7]

Answer:

Step-by-step explanation:

If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex.  Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards).  The formula for this type of a parabola is, in vertex form,

4p(y-k)=(x-h)^2

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex.  For us, p = .25, h = 7, and k = -6.  Filling in our formula:

4(.25)(y+6)=(x-7)^2

Simplify the left side to

1(y+6)=(x-7)^2 which simplifies, in its entirety, to

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3 0
3 years ago
Use Gauss's approach to find the sum. 1+3+5+7+...+1001
Arisa [49]
1017, maybe, i hope its right, sorry if its not:)
8 0
2 years ago
Read 2 more answers
The population of a town is 32600 about 27% are over 60 years old about 19% are 16 or under how many are between 16 and 60
r-ruslan [8.4K]
Answer: 17604

Explanation: In order to find a percentage, mulptiply the population by the percentage with a decimal in front. Like this:

32600 • .46

I got 46 because 27 + 19 = 46

Once you get that answer, subtract it from the original total

32600 - 14996 = 17604

You're done! Hope this helps



3 0
2 years ago
The win-loss record for a football team is 15 wins and 9 losses. What percent of their games did they win?
Burka [1]

Answer:

62.5%

Step-by-step explanation:

To find percentage of win, we simply need to find the number of games won and divide it by the total number of games played. Then we will multiply that answer by 100 (to get percentage).

So,

Number of games won = 15

Total number of games = 15 + 9 = 24

Percentage of Win = \frac{15}{24}=0.625=62.5

Answer is 62.5%

6 0
3 years ago
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