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arsen [322]
3 years ago
14

Determine the equivalent system for the given system of equations:

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

\large\boxed{B.\ \left\{\begin{array}{ccc}2x+3y=7\\6x+y=11\end{array}\right}

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=7&(1)\\4x-2y=4&(2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=7\\4x-2y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad6x+y=11\qquad(3)\\\\\text{Make the system of equation with (1) and (3):}\\\\\left\{\begin{array}{ccc}2x+3y=7\\6x+y=11\end{array}\right

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1. What is factorization? <br>2.Find the factorization of 891 and please explain!<br><br>Thank you!
Anastaziya [24]

Answer:

In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.Prime factorization of 891 = 1×3×3×3×3×11= 1×34×11

Step-by-step explanation:

1. We write number 891 above a 2-column table  

2. We divide 891 by the smallest possible prime factor  

3. We write down on the left side of the table the prime factor and next number to factorize on the ride side

4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)

5. We continue until we reach 1

6 0
3 years ago
Solve the system of equations using substitution
Andru [333]

Answer:

x = 136/11 , y = 68/11

Step-by-step explanation:

Solve the following system:

{6 x - y = 68

2 y = x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{6 x - y = 68

2 y = x

Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.

2 y = x is equivalent to x = 2 y:

{6 x - y = 68

x = 2 y

Hint: | Perform a substitution.

Substitute x = 2 y into the first equation:

{11 y = 68

x = 2 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{11 y = 68

x = 2 y

Hint: | Solve for y.

Divide both sides by 11:

{y = 68/11

x = 2 y

Hint: | Perform a back substitution.

Substitute y = 68/11 into the second equation:

{y = 68/11

x = 136/11

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 136/11 , y = 68/11

7 0
3 years ago
Calculate the number of two-person committees that can be formed from a group of 10 people
ioda

Bikash borrowed Rs150,000 from Anish at the rare 21% per year at the end of 9 month. How compound interest should he pay compound half yearly.

4 0
2 years ago
Please help, will give brainlist
Marrrta [24]

Answer:

8

Step-by-step explanation:

compare the divisor x+1 with x-a which will be -1 then use remainder theorem to get your answer

5 0
3 years ago
Please help me figure this one out !!!
strojnjashka [21]
These are "composite" functions.
g(x+a)  means insert (x+a) into g(x) to replace every x:
g(x+a) - g(x) = -5(x+a)^2 +4(x+a) +5x^2 - 4x
 = -5(x^2 + 2ax + a^2) +4x +4a + 5x^2 - 4x
Now just Multiply and sum up the answer.

5 0
3 years ago
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