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julia-pushkina [17]
3 years ago
5

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.

Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

two real, unequal  roots

Step-by-step explanation:

This is a quadratic equation.  The quadratic formula can be used to determine how many and what kind of roots may exist:  

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0.  In this case, a = 1, b = -2 and c  = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32  =  36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal  roots

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Answer:

-11\leq x\leq 11

Step-by-step explanation:

Domain is all possible x- values- since the dots are solid, you include them in the domain-

the lowest X possible is at -11 and the highest is +11

it s a continuous graph, so it will include any and all number between the two ends

3 0
2 years ago
Read 2 more answers
Determine whether each ordered pair is a solution to the inequality x+y>−2.
sweet [91]
<h3>3 Answers:</h3>
  • Choice A.  (10, -1)
  • Choice B.  (-8, 9)
  • Choice D.  (6, -3)

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

Explanation:

If we plug the coordinates of point A into the inequality, then we get

x+y > -2

10 + (-1) > -2

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That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers

Choices B and D are also answers for similar reasons.

Something like choice C is not a solution because

x+y > -2

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which is false

You should find that choice E is false as well.

---------------------

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.

The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

4 0
3 years ago
I need very urgent help with this
Leto [7]

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Step-by-step explanation:

You can find the answer by trying the given possible answers out.

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Answer:

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Step-by-step explanation:

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The 1971 Sylmar earthquake in Los Angeles had a Richter scale magnitude of 6.3. Suppose an architect has designed a building as
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The magnitude is 315 

hope this helps
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