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Greeley [361]
3 years ago
14

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of

real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Mathematics
2 answers:
irakobra [83]3 years ago
8 0
The discriminant is b²-4ac
-2x²+8x-8=0
in this case, b=8, a=-2, c=-8
so b²-4ac=8²-4(-2)(-8)=0
choice B is correct. 
PIT_PIT [208]3 years ago
4 0

Answer:

B) The discriminant is equal to 0, which means the equation has one real number solution.

Step-by-step explanation:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

Therefore, the answer B) The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

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please help!! Drag each pair of equations to show whether the system has no solution, one solution, or infinitely many solutions
Vanyuwa [196]

For the given system of equations, considering different systems are split by ;, we have that:

  • No solutions: 3y = x + 2, 9y = 3x + 7; y = 2x + 3, y = 2x + 5
  • One solution: 2y = 3x, -5y = -10x,; x = 6, y = 9.
  • Infinitely many solutions: y = 5x + 2, 3y = 15x + 6.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

It's equations can be written in the format:

Ax = b

Using the above format, we have that:

  • If A is different from zero, the system has one solution.
  • If A is zero and B is different of zero, the system has no solutions.
  • If both are zero, the system has infinite solutions.

At the first system, multiplying the first equation by -3 and adding with the second, we end up with:

0y = 0x + 2

0 = -2

Which is a false statement, hence it has no solutions.

At the second system, the equations are multiples, hence it has infinite solutions.

At the third system, the coefficients are not zero and are not multiples, and it has one solution.

In the fourth system, the one solution is already given.

At the fifth system, we have that:

2x + 3 = 2x + 5

0x = 2

Hence no solutions.

To learn more about system of equations, you can take a look at brainly.com/question/24342899

5 0
2 years ago
A vehicle traveled at a speed of 54 kilometers per hour for 3 hours. Find the distance traveled.
Arada [10]

So, we need to multiply these values, since we are looking for distance.

\frac{54km}{1hr}\times3hr=162km

He travelled 162km.


Hope this helps!

4 0
3 years ago
PLEASE HELP !!!!
prohojiy [21]

Answer:

{(-2, 5), (1, -1), (2, -2), (5, 2)}

4 0
2 years ago
Evaluate the expression below.<br> 14-[5•(7-5)+1-4]•2
Romashka [77]

Step-by-step explanation:

14-(5*(7-5)+1-4)*2

14-(5*(2)-3)2

14-(10-3)2

14-(7)2

14-14

0

5 0
3 years ago
Read 2 more answers
3÷1 1/4 <br> i need to know ASAP and i need to know how to do it
aalyn [17]

Answer:

2.4 or 2\frac{2}{5}

Step-by-step explanation:

Let's set this up:

We have 3/1\frac{1}{4}

That's also 3/1.25

For division, we don't divide if there is a fraction, so we move the decimal place over to the right for <em>both the numbers</em>

300/125

Then you long divide as normal:

And it's really hard to show how to long divide on a computer so I'm just going to go ahead and assume you know how to.

But the answer to that would be 2.4 or 2\frac{2}{5}

Thank you, let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
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