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Elena-2011 [213]
3 years ago
11

For the equation x2 + 2x − 8 = 0, what is the sum of the solutions?

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

x^2 + 2x − 8 = 0

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4-2 = 2

(x+4) (x-2)=0

Using the zero product property

x+4 =0         x-2=0

x+4-4 =0-4      x-2+2=0+2

x = -4               x=2

We want the sum of the solutions

-4+2 = -2

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Ramon read twice on Saturday. In the morning, he read for
LenKa [72]

Answer:

if the numbers are separated by a fraction bar the response should be 11/12th of an hour on Saturday.

Step-by-step explanation:

1/2=6/12

5/12+6/12=11/12

4 0
3 years ago
John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i
MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0
3 years ago
If you drew a horizontal line on the coordinate plane, what could you say about the y-coordinate for every point on the line.
Paha777 [63]
It's the second number that you use for coordinate plane
7 0
3 years ago
Graph x^3 - 3x^2 + 2 = 0.1 - x What are the solutions of the equation?
liq [111]

Answer:

x=-0.6,x=1.52,x=2.08

Step-by-step explanation:

Let f(x)=x^3-3x^2+2.

and

g(x)=0.1-x

The graph of the two equations are shown in the attachment.

The points where the two graphs intersected are: (-0.6,0.7),(1.52,-1.42),(2.08,-1.98)

The x-coordinates of the intersection points are the solutions to x^3-3x^2+2=0.1-x.

Therefore the solutions are: x=-0.6,x=1.52,x=2.08

6 0
3 years ago
Solve the following linear system by graphing <br> 4x+5y=10<br> 3x-3y=21
Inga [223]

Answer:

y = 2

x = 5

Step-by-step explanation:

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×4 |

12x + 15y = 30

12x - 12y = 84

____________--

27y = -54

y = -54/27

y = 2

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×5 |

12x + 15y = 30

15x - 15y = 105

____________+

27x = 135

x = 135/27

x = 5

6 0
4 years ago
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