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ikadub [295]
2 years ago
10

Determine whether the following graph represents a function,

Mathematics
1 answer:
eimsori [14]2 years ago
3 0

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

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Leon earns $14 an hour how much does he earn in 4 weeks If he works 12 hours each week
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2 years ago
3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
sweet-ann [11.9K]

9514 1404 393

Answer:

  1. x ≤ 4
  2. x > 10
  3. x ≤ -7

Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

  3x ≤ 12 . . . . . subtract 2

  x ≤ 4 . . . . . . . divide by 3

__

2. -5 +2x > 15

  2x > 20 . . . . . . add 5

  x > 10 . . . . . . . . divide by 2

__

3. -2x +4 ≥ 18

  4 ≥ 18 +2x . . . . . add 2x

  -14 ≥ 2x . . . . . . . subtract 18

  -7 ≥ x . . . . . . . . . divide by 2

_____

<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

5 0
3 years ago
Read 2 more answers
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