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Sedaia [141]
3 years ago
9

Why is the inequality x≤6 equivalent to the inequality x−5≤6−5

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1    |add 5 to both sides

x ≤ 6

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Someone help please I'm having a hard time understanding​
Over [174]

Answer:

the angle shown is a straight angle value of which is equal to 180°

3x + 30. 6 = 180

3x = 180 - 30. 6

3x = 149.4

<h3>x = 49.8</h3>
8 0
3 years ago
What is the common difference of the sequence 8, 4, 0, -4, -16?
soldier1979 [14.2K]

\large \mathfrak{Solution : }

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

  • common \:  \: difference = 4 - 8
  • common \:  \: difference =  - 4

therefore, the common difference of the above Arithmetic progression is -4 .

7 0
3 years ago
Please please help me!!!!!
Maru [420]

Answer:

(12, 487)

Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

y = 14.4x + 312 ----› Eqn. 2

Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

Collect like terms

3.7x - 14.4x = -442 + 312

-10.7x = -130

Divide both sides by -10.7

x = 12.1495327

Substitute x = 12.1495327 into eqn. 1.

y = 3.7x + 442 ----› Eqn. 1

y = 3.7(12.1495327) + 442

y = 486.953271

The solution to the system is rounded to the nearest integer:

(12, 487)

7 0
3 years ago
Write the equation of a line that is perpendicular to y = 5 and that passes through the point (-7,-5).
Alik [6]

Answer:  x = -7

Step-by-step explanation:

x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5

The attached graph shows the lines and the point.

7 0
3 years ago
Graph the inequality on the number line. x≥−3 1/2
Ivan

Answer:

I've done this before my friend...

6 0
3 years ago
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