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enyata [817]
3 years ago
14

If the discriminant of a quadratic equation is equal to -8 , which statement describes the roots?

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer: There are no real number roots (the two roots are complex or imaginary)

The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0

There are three cases

  • If D < 0, then there are no real number roots and the roots are complex numbers.
  • If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
  • If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.
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I hope this helps :)
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2 years ago
Judy spent 3 hours driving 165 miles She thinks
sasho [114]

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

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I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).

6 0
2 years ago
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lawyer [7]

Answer: 25 games

Step-by-step explanation:

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Cross multiply. 76 times x equally 76x and 100 times 19 equals 1900.

Divide 76x by 76 which equals just x.

Divide 1900 by 76 which equals 25.

x=25

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vfiekz [6]
Yeah that sounds right.
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Which graph the linear inequality &lt;_ 4x —3 ?
kykrilka [37]

Answer:

B

Step-by-step explanation:

6 0
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