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jonny [76]
3 years ago
6

What is the answer to this inequality question 2(4x+1)<3(2x-3)

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

x < -7

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

Distributive Property:

8x + 8 < 6x - 6

Subtract on Both Sides:

8x + 8 < 6x - 6

- 6x       -6x

--------------------

2x + 8 < - 6

      -8    -8

---------------

2x < -14

Divide on Both Sides:

2x < -14

---     ---

2        2

x < -7

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.16x287.5 = 46

The answer is 16%
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Bath and body works sells a scented candle that urns 1/8 of an inch in every 1/4 of an hour. How many inches would the candle bu
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1/2 of an inch will be burned in 1 hour.

Step-by-step explanation:

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Please help!!! i'll give brainliest and offering 20 pts each!!!
Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
2 years ago
When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
3 years ago
What is the point slope form of a line with slope 3 that contains the point (2,1)
Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0
3 years ago
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