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Diano4ka-milaya [45]
3 years ago
6

Solve the system of equations. 14x+5y=31 2x−3y=−29 ​

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

  (x, y) = (-1, 9)

Step-by-step explanation:

A graphical solution can be quick and easy. It shows the solution to be ...

  (x, y) = (-1, 9)

__

Another suitable method is Cramer's rule. It makes use of a particular pattern of sum of products of coefficients and constants. The denominator in each case is the same sum of products.

  x = (5(-29)-(-3)(31))/(5(2)-(-3)(14)) = -52/52 = -1

  y = (31(2)-(-29)(14))/52 = 468/52 = 9

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1/8 or 1 in 8. There are 8 sections and only one is yellow. Therefore, you have a 1/8 chance of spinning yellow. As a percent it would
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7 0
3 years ago
I need help with this, please!
siniylev [52]

Answer:

The answer to your question is None of the options, the answer is y ≥ 1

Step-by-step explanation:

Inequality

                      5 - 3 (y + 2) ≤ 6y - 10

1.- Expand

                      5 - 3y - 6 ≤ 6y - 10

2.- Simplify like terms

                        -3y - 1 ≤ 6y - 10

3.- Add -6y in both sides

                       - 3y - 6y - 1 ≤ 6y - 10 - 6y

4.- Simplify

                      -9y - 1 ≤ -10

5.- Add 1 in both sides

                     -9y - 1 + 1 ≤ -10 + 1

6.- Simplify

                              -9y ≤ -9

7.- Divide both sides by -9 and change ≤ by ≥

                              -9/-9 y ≥ -9/-9

8.- Simplify

                                      y ≥ 1

3 0
3 years ago
Given f(x)=4/5x + 13, find the inverse f-¹(x)<br>Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)​
Elodia [21]
  • f-¹(x) = 69/5y
  • f-¹(x) = 13 + 4y/(y + 10)

<h3>How to determine the inverse </h3>

The steps involved in determining the inverse of a function are;

  • Replace f(x) with y in the equation describing the function
  • Interchange x and y
  • Solve for y
  • Replace y by f-1(x)

If f(x) = 4/5x + 13

y = 4/5y + 13

y = 4 + 65 /5y

f^-1 = 4 + 65 /5y

f^-1(x)= 69/5y

If f(x)= 3/x+10 + 4

y = 3/y + 10 + 4

y = 3 + 4y + 10/(y + 10)

y = 13 + 4y/(y + 10)

f^-1(x) = 13 + 4y/(y + 10)

Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)

Learn more about functions here:

brainly.com/question/6561461

#SPJ1

5 0
2 years ago
Can the sides of a triangle have lengths 3.5, 10.9, and 14.4?
andrew11 [14]

Answer:

No

Step-by-step explanation:

A triangle can NOT have those lengths because any side of a triangle has to have a length greater than the sum of the other two sides. In this case, 14.4, one of the sides, is not greater than the sum of the other two sides (which is also 14.4).

Hope this helps :)

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3 years ago
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V125BC [204]

Answer: The importance of the rule of law with these principles is self-evident. In our system, it is the foundation of governance. Under the rule of law, citizens can live and work safely. They will not be subjected to arbitrary government and are protected against any abuse of power by the state. hope this helps. Can u give me brainliest

Step-by-step explanation:

8 0
3 years ago
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