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ELEN [110]
3 years ago
15

If the discrimination of equation is equal to -8, which statement describes the roots ?

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant informs about the nature of the roots of a quadratic function.

The discriminant Δ = b² - 4ac

• If b² - 4ac > 0, then roots are real and distinct

• If b² - 4ac = 0, then roots are real and equal

• If b² - 4ac < 0, then the roots are not real

Hence for b² - 4ac = - 8, then roots are not real


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48% of US adults have very little confidence in newspapers you randomly selected 10 US adults. Find the probability that the num
aivan3 [116]

Answer:

P(x = 5) = 0.2441

Step-by-step explanation:

Given

p = 0.48 --- proportion that have very little confidence

n = 10 --- sample

Required

Determine the probability that exactly 5 have very little confidence

This question will be solved using binomial probability:

P(x) = ^nC_xp^x(1-p)^{n-x}

In this case: x = 5.

So, we have:

P(x = 5) = ^{10}C_5*0.48^5(1-0.48)^{10-5}

P(x = 5) = ^{10}C_5*0.48^5*0.52^5

P(x = 5) = 252*0.48^5*0.52^5

P(x = 5) = 0.2441

7 0
3 years ago
What is the area of the triangle formed from (0,-1), (0.4), and (4,-1)?
Rufina [12.5K]

Answer:

10 squared units

Step-by-step explanation:

This triangle is pretty easy since it creates a right triangle.  So the base length and height length are pretty easy to identify.

The area of a triangle is .5*base*height.

The base length after drawing the points is a horizontal so just count it or do 4-0=4.

The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.

So the area of the triangle is .5*4*5=.5(20)=10 units squared.

Now if you didn't fill like drawing it and you knew how to find the determinant.

You just compute

.5 times det|  0   -1     1  |

                   |  0   4      1  |

                   |   4  -1      1  |

.5[  0 det| 4     1  |          -   -1 det|  0   1 |          +    1 det | 0   4 |      ]

              |  -1    1  |                        |  4   1 |                         |  4  -1 |

.5[ 0                           - -1(0-4)                      +   1(0-16)]

.5[  0                         -4                               -16]

.5[-20]

-10

And if you get a negative just take the absolute value of it giving you 10.  

3 0
3 years ago
Select all the ordered pairs that are solutions to the equation 5x + 2y = -8
Archy [21]

Answer: (1,-2) (0,-4) (-4,0)

Step-by-step explanation:

3 0
3 years ago
M is the midpoint of , cm = 2x + 3, and md = 3x – 6. what is cd? answer
wlad13 [49]
<span>If M is the midpoint of CD, CM = 2x+3 and MD = 3x-6, then:

MD = CM
3x - 6 = </span>2x + 3
3x - 2x = 3 + 6
x = 9

CM = 2x+3 = 2*9+3  18+3 = 21
MD = CM = 21
CD = CM + MD = 21 + 21 = 42
7 0
3 years ago
Riddle what 3D shape should be afraid of?
Digiron [165]
Well a sphere ok ok :)
4 0
3 years ago
Read 2 more answers
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