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Lyrx [107]
3 years ago
15

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

Mathematics
2 answers:
Andre45 [30]3 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]3 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

You might be interested in
The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.
Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: A=\pi r^2 where r is the radius

Plug in the area 43.25 cm²

43.25=\pi r^2

Divide both sides by π to isolate r²

\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2

Take the square root of both sides to isolate r

\sqrt{\frac{43.25}{\pi}} =r\\3.71=r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0
3 years ago
What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
What are the answers to this someone please help.
statuscvo [17]

1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!

6 0
3 years ago
Write a word phrase to represent the numerical expression for 4+[27-10]
vlabodo [156]
Four plus the absolute value of twenty-seven minus ten
3 0
3 years ago
Solve the formula for x.<br> V=2πrx+6πr2
Anna [14]

Answer:

x=−18.849556r2+v/6.283185r

Step-by-step explanation:

Step 1: Flip the equation.

18.849556r2+6.283185rx=v

Step 2: Add -18.849556r^2 to both sides.

18.849556r2+6.283185rx+−18.849556r2=v+−18.849556r2

0r 2+6.283185rx=−18.849556r2+v

Step 3: Divide both sides by 6.283185r. 0r2+6.283185rx/

6.283185r = −18.849556r2+v/6.283185r

x=−18.849556r2+v/6.283185r

7 0
2 years ago
Read 2 more answers
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