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Goshia [24]
3 years ago
7

What is -21.6 simplified?

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

108/5

Step-by-step explanation:

Aleksandr [31]3 years ago
5 0

Answer:

-22

Step-by-step explanation:

because -21.6 rounded to the next whole number is rounded to -22 because of the 6 in the number, which is larger than 5 so it passes to the next highest number.

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i
Gwar [14]

Answer:

The solutions for the given system of equations are:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

Step-by-step explanation:

Given the equation system:

\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.

We obtain the following matrix:

\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]

<u>Step 1:</u> Multiply the fisrt row by 1/3.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]

<u>Step 2:</u> Sum the first row and the second row.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]

<u>Step 3:</u> Multiply the second row by 3/4.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]

The result of the reduced matrix is:

\left \{ {{x=-5} \atop {y+4z=12}} \right.

This is equal to:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0
3 years ago
The difference of two numbers is 42. the larger number is three less than six times the smaller number. find the numbers.
IgorLugansk [536]
X and y are the numbers
x>y

diffference is 42
x-y=42

larger is 3 less than 6 times smaller
x=-3+6y

subsitute -3+6y for x

x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9

sub back

x=-3+6y
x=-3+6(9)
x=-3+54
x=51

the numbers are 51 and 9
5 0
3 years ago
8^x times 2^(4-x) = 1<br> Find x.<br> With detailed steps.
Dafna1 [17]

Answer: x= -1

Step-by-step explanation:

In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have

  1. 4x +4-x
  2. 4x-x=1
  3. 3x+4-4 =1-4
  4. 3x/3 = -3/3
  5. x= -1
<h2>Hope that helped!</h2>
7 0
2 years ago
Find the length of AC
Ratling [72]
Answer 5 because cos(60) x 10 = gives 5
3 0
3 years ago
Mario invested $5100 at 13%
cestrela7 [59]

Answer:

Amount = $6614 and 19 cent

Step-by-step explanation:

Formula for compound interest is

A= p(1+r/n)^(nt)

Compounded daily

So n= 365*2= 730

T= 2

r= 0.13

P= 5100

A= p(1+r/n)^(nt)

A= 5100(1+0.13/730)^(730*2)

A= 5100(1+1.78082*10^-4)^(1460)

A= 5100(1.000178082)^1460

A= 5100(1.2969)

A= 6614.19

Amount = $6614 and 19 cent

6 0
3 years ago
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