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Aloiza [94]
3 years ago
14

The geometric mean of x+3 and 4x+1 is 2x+1. Find all possible values of x.

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

x =   - \frac{2}{9}

Step-by-step explanation:

Since, the geometric mean of x+3 and 4x+1 is 2x+1.

Therefore, by geometric mean theorem:

{(2x + 1)}^{2}  = (x + 3)(4x + 1) \\  \\  \cancel{4 {x}^{2}}  + 4x + 1 = \cancel{4 {x}^{2}}  + x + 12x + 3 \\  \\ 4x + 1 = 13x + 3 \\  \\ 4x - 13x = 3 - 1 \\  \\  - 9x = 2 \\  \\ x =   - \frac{2}{9}

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Answer:

1176

Step-by-step explanation:

12 times 7 equals 84.84 times 14 is 1176

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3 years ago
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kaya does homework for 2 2/3 hours. she spends 1/4 of this time doing science homework. how much times does she spend doing her
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20 minutes long she does homework for
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4. Answer: 1/32 ^7

5. Answer: (3 ^2)^6

6. Answer:c

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What is 9 3/4 - 3 5/9 =
VikaD [51]

Answer:

39/4 -32/9

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351/32-128/32

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Change to mixed number

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7 0
3 years ago
How do I do this question
s344n2d4d5 [400]

The two laws of motion are

\text{Low:}\ d=v_lt\\\text{Sim:}\ d=v_st

Since Mr Sim's speed is 15 km/h less that Mr Low's, we have

\text{Low:}\ d=v_lt\\\text{Sim:}\ d=(v_l-15)t

Note that the distance d is the same for both equations, because they traveled the same path.

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\text{Low:}\ d=\dfrac{v_l}{3}\\\text{Sim:}\ \dfrac{4d}{5}=\dfrac{(v_l-15)}{3}

If we multiply Sim's equation by 5/4, we have

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Since the left hand sides are equal, we equal the right hand side as well:

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4v_l=5v_l-75 \iff v_l = 75

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v_s=v_l-15=75-15=60

3 0
3 years ago
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