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4 years ago

Solve 81x = 27x + 2. x = 1 x = 2 x = 5 x = 6

Mathematics

2 answers:

zubka84 [21]4 years ago

7 0

81x = 27x + 2
81x - 27x = 2
54x = 2
x = 2/54
x = 1/27

none of the above is the answer...

ArbitrLikvidat [17]4 years ago

3 0

Answer: x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

81x=27x+2

Solve Exponent.

81x=27x+2

log(81x)=log(27x+2)(Take log of both sides)

x*(log(81))=(x+2)*(log(27))

x=(

log(27)

log(81)

)*(x+2)

x=0.75*(x+2)

x=0.75x+1.5(Simplify both sides of the equation)

x−0.75x=0.75x+1.5−0.75x(Subtract 0.75x from both sides)

0.25x=1.5

0.25x

0.25

1.5

0.25

(Divide both sides by 0.25)

x=6

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5 years ago, the age of a man was 7 times the age of his son. After five years, the age of the man will be 3 times the age of hi

Feliz [49]

Answer:

10 years

40 years

Step-by-step explanation:

let present ag e of son=x

5 years ago age of son=x-5

5 years ago age of man=7(x-5)=7x-35

present age of man=7x-35+5=7x-30

after 5 years

age of son=x+5

age of man=7x-30+5=7x-25

also 7x-25=3(x+5)

7x-25=3x+15

7x-3x=15+25

4x=40

x=10

age of son=10 years

age of man=7*10-30=70-30=40 years

3 0

4 years ago

Select all the intervals where f is decreasing

sammy [17]

One Answer: Choice C) 0 < x < 1

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Explanation:

Let's go through the answer choices one at a time.

Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
Choice D is false because choice C was shown to be true.

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3 years ago

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Whitepunk [10]

Answer:

4/5

Step-by-step explanation:

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