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xenn [34]
2 years ago
11

Find the solution of the inequality

Mathematics
2 answers:
Salsk061 [2.6K]2 years ago
7 0

Answer:

option D

x≥3

Step-by-step explanation:

Given in the question an inequality

−4x + 2 ≤ −10

rearrange x terms to the left and constant to the right

-4x  ≤ −10 - 2

-4x  ≤ -12

cancel - on both sides, due to sign change inequality will also be change

 4x ≥ 12

  x ≥ 12/4

  x ≥ 3

So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.

rodikova [14]2 years ago
3 0

Answer:

x ≥ 3

Step-by-step explanation:

We have given a inequality.

−4x+2 ≤ −10

We have to find the solution of given inequality.

Adding -2 to both sides of given inequality, we have

-4x+2-2 ≤ -10-2

-4x ≤ -12

Cancelling negative sign from both sides of above inequality , we have

4x ≥ 12

Dividing by 4 to both sides of above equations, we have

x ≥ 3 which is the solution of inequality.

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3 years ago
F(x) =
Oksana_A [137]

9514 1404 393

Answer:

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Step-by-step explanation:

The applicable derivative formula is ...

  d(u/v) = (v·du -u·dv)/v²

__

  f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²

  f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²

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Similarly, the second derivative is the derivative of f'(x).

  f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴

  f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

4 0
3 years ago
Jules has 1200 and is spending 40 per week. kelsey has 400 and is saving 50 a week. in how many weeks, will jules and kelsey hav
expeople1 [14]
After x weeks:
Jules will have: 1,200 + 40 x.
Kelsey will have: 400 + 50 x.
If we want to know in how many weeks will they have the same amount of money, we will make an equation:
400 + 50 x = 1,200 + 40 x
50 x - 40 x = 1,200 - 400
10 x = 800
x = 800 : 10
x = 80
Answer: In 80 weeks they will have the same amount of money.
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2 years ago
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6 0
2 years ago
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