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kumpel [21]
3 years ago
13

|10+4x|<14 how do you solve this?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
4 0

Answer: - 6 < x < 1

|10 + 4x| < 14

⇔ -14 < 10 + 4x < 14

⇔ -14 - 10 < 4x < 14 - 10

⇔ - 24 < 4x < 4

⇔ -24/4 < x < 4/4

⇔ - 6 < x < 1

Step-by-step explanation:

shutvik [7]3 years ago
3 0

Answer:

-6 < x < 1

Step-by-step explanation:

-14 < 10 + 4x < 14

Subtract 10 from both sides

-24 < 4x < 4

Divide both sides by 4

-6 < x < 1

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The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
dolphi86 [110]

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

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60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

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2 years ago
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triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n &gt;4. complete the inquali
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Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

  • a+b > c   ⇒   3n+3 > 3n-2 . . . always true
  • b+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2
  • c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

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What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively
ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV)  of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index  = 49.7/340

Profitability index  = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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(4x + 8x - 5) + (3x2 + 6x - 7)
ch4aika [34]

Answer:

7x^2 + 14x - 12

Step-by-step explanation:

Add like terms:

(4x + 8x - 5) + (3x2 + 6x - 7) becomes:

  4x^2 + 8x - 5               or (grouping like terms in columns):

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

 7x^2 + 14x - 12

5 0
3 years ago
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