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2 years ago

Please help me with this

Mathematics

1 answer:

marshall27 [118]2 years ago

3 0

Answer:

6450

Step-by-step explanation:

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Solve the system of linear equations. <br> −8x+5y=26<br> 9x−3y=−3

Sloan [31]

Answer: x = 3 and y = 10

Step-by-step explanation:

-8x + 5y = 26 .................. equation 1

9x - 3y = -3 ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

-24x + 15y = 78 ............. equation 3

45x - 15y = -15 ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

x = 63/21

x = 3

Substitute x = 3 into equation 1 or equation 2 to get the value of y , using equation 2 , we have

9x - 3y = -3

9(3) - 3y = -3

27 - 3y = -3

27+3 = 3y

30 = 3y

30/3 = y

Therefore y = 10

Therefore : x = 3 and y = 10

8 0

3 years ago

What is the amplitude of the function?

Licemer1 [7]

Answer:

Step-by-step explanation:

Take the absolute value of the lowest y value.

$| - 1| = 1$

Take the absolute value of highest y value.

$|3| = 3$

Add those two together and divide by two.

$\frac{1 + 3}{2} = 2$

So the amplitude is 2

5 0

2 years ago

Factoring trinomials

Tcecarenko [31]

$c^2$ $2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)$

This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying $c^2$ . This is the second line. Then, you could take the square of the $4c^2$ , ant try to create a factor () () that will correspond to the expression in the second line. That is, we want $4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)$

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have $(2c + 6) (2c +7)$