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I am Lyosha [343]
1 year ago
14

Another tutor told me that answer but it was incorrect

Mathematics
1 answer:
s344n2d4d5 [400]1 year ago
4 0

Answer:

The system has infinitely many solutions.

(x, 1 - x, -3)

Explanation:

Writing the matrix in the form of a system of linear equations gives

\begin{gathered} x+y=1 \\ z=-3 \end{gathered}

Note that the third row does not give us any information on the values of x, y, and z.

Solving the first equation for y gives

y=1-x

Hence, the solution to the system is

(x,y,z)=(x,1-x,-3)

Since x can take any value ranging from -∞ to ∞, the system has infinitely many solutions.

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Which of the following are solutions to the equation below ?
Ad libitum [116K]
The equation factors into (x+2)(x+6) = 0. The answers to this question are -2 and -6.

8 0
3 years ago
A) How many ways can 2 integers from 1,2,...,100 be selected
Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

                                            =100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

   =Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

        =_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

   =Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

        =_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500

=2500 ways

7 0
3 years ago
What does 3 exponent -2 equal
inysia [295]
I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!
4 0
3 years ago
Complete the square. Fill in the number that makes the polynomial a perfect-square
NeX [460]

Answer:

h² - 10h + <u>25</u>

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

3 0
3 years ago
I need help in this question
tiny-mole [99]

Answer:

C. 12/15

Step-by-step explanation:

2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.

8 0
2 years ago
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