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Harman [31]
3 years ago
8

- 4 + n/3 less than = to 7

Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer:

all work is pictured and shown

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What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
Butoxors [25]

Answer:

You selected the correct answer: {x | x <<em> </em>-4 or x > 2}

Step-by-step explanation:

5(x - 2)(x + 4) > 0

Use FOIL method to expand (x - 2)(x + 4):

5(x^{2} + 2x - 8) > 0

Distribute 5 into (x^{2} + 2x - 8)

5x^{2} + 10x - 40 > 0

Divide all terms by 5 from both sides of the inequality:

\frac{5x^{2}}{5}  + \frac{10x}{5}  - \frac{40}{5} > \frac{0}{5}

x^{2} + 2x - 8 > 0

Factor the trinomial:

(x + 4) ( x - 2)  > 0

x < -4 or x > -2

Therefore, the solution set to the inequality is {x | x < -4 or x > 2}

<em>Interval notation:  </em>(-∞, -4) ∪ (2, ∞)

8 0
3 years ago
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
diamong [38]

I think the answer is 44

7 0
3 years ago
What is this simplified?<br><br> 6-2(3x+1)+4x-5
Olenka [21]

Answer:

-2x - 1

Step-by-step explanation:

6 - 6x - 2 + 4x - 5

6 - 2x - 2 - 5

-2x - 1

8 0
3 years ago
Find the value of x. round your answer to the nearest tenth.
Yakvenalex [24]

9514 1404 393

Answer:

  x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = 22/x

  x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

5 0
3 years ago
A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to
Allisa [31]

Answer:

c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)

53.45= 39.95 +0.15 (s +63) (use the distributive property)

53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)

53.45 = 49.40 +0.15s (subtract 49.40 from both sides)

4.05 = 0.15s (divide both sides by 0.15 so isolate s)

s= 27 (how many text messages were sent)

Step-by-step explanation:

I hope this helps :)

3 0
3 years ago
Read 2 more answers
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