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dalvyx [7]
2 years ago
6

Which statement is true?

Mathematics
1 answer:
Mila [183]2 years ago
5 0

Answer:

The equation -x2 + 6x - 9 = 0 has two real solutions.

Step-by-step explanation:

{b}^{2}  - 4ac = {6}^{2}  - 4( - 1)( - 9) = 0

The discriminant equals to 0, so the quadratic equation has 1 real solution.

You might be interested in
Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.
Shtirlitz [24]

Answer:

See below for the matrix

D = 100

Step-by-step explanation:

\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]

         3    2    1

D =   -1    -2    4    =   3(-2)(-3) + 2(4)(1) + 1(-1)(-6)  

         1    -6   -3

                                    - 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)

                           =  18 + 8 + 6 + 2 + 72 - 6

                           =  100

Sorry, I can't type the vertical bars.

I hope this is what you are looking for.

   

5 0
3 years ago
A hair salon completed a survey of 367 customers about satisfaction with service(Dissatisfied, Neutral, Satisfied, or Very Satis
mamaluj [8]

The results of the survey are shown in the table.

It's required to calculate the following probabilities:

a) A customer is neutral

The row labeled as 'Neutral' has a total of 79 customers out of 367 in total.

The required probability is:

p=\frac{79}{367}

b) A customer is a walk-in

The first column labeled as 'Walk-in' has a total of 106 customers out of 367. The required probability is

p=\frac{106}{367}

c) A customer is dissatisfied and a walk-in.

We have to cross the row Dissatisfied with the column Walk-in. The number of customers that have both categories is 22 out of 367.

The required probability is:

p=\frac{22}{367}

d) A customer is very satisfied given he saw a TV ad.

This is a conditional probability, where the total is 111 because is the given condition. The customers that have both characteristics are 33, thus the required probability is:

p=\frac{33}{111}=\frac{11}{37}

e) A customer is satisfied or referred.

Total satisfied = 139

Total referred = 150

With both features = 62

Total customers with one or both features: 139 + 150 - 62 = 227

We have to subtract the common feature because it was counted twice.

The required probability is:

p=\frac{227}{367}

6 0
1 year ago
Which shows a reflection over the x-axis?
a_sh-v [17]

Answer:

Probably a bit late but its A the first one ;P

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Rearrange to make x the subject<br> 4(x-3) =y<br> pls help
Alina [70]
4(-3x)=y F f f f f f f f d d d d d d d d d d d d d d d d d d d d d d
3 0
2 years ago
How do I do this? 50 points, please answer
xz_007 [3.2K]

Check the picture below.

now, the midsegment of a triangle, besides being half the base, we have to bear in mind that is a "mid" segment, is a segment that lies half-way along the segments it touches.

so for the triangle above, well, the midsegment DE is cutting the segment BC it two equal halves, BE and EC, that means that \stackrel{x}{BE}~~ = ~~\stackrel{8}{EC}.

5 0
1 year ago
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