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3 years ago

What is the absolute value of -8 and 8?

2 answers:

5 0

Because taking an absolute value of a number means making positive, then we can conclude that the absolute value of both numbers are 8.

|-8| = 8
|8| = 8

rewona [7]3 years ago

4 0

Step-by-step explanation: The absolute value of an integer is its distance from zero on a number line. Since -8 is 8 units from zero, the absolute value of -8 is +8. Notice that I put the "+" in front of 8 to show that it's positive.

On the other hand, 8 would also be 8 units from zero so the absolute value of 8 would also be +8.

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A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function P(x)=

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The function $P(x)=1500e^{-0.4x}$ gives the number of the original trout alive after x years. When the number of the original trout alive is 300, then

$300=1500e^{-0.4x}$

Solve this equation:

$e^{-0.4x}=\dfrac{300}{1500},\\ \\e^{-0.4x}=\dfrac{1}{5},\\ \\-0.4x=\ln \dfrac{1}{5},\\ \\x=\dfrac{\ln \dfrac{1}{5}}{-0.4}\approx 4.024.$

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2 years ago

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If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make

Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

<u>Step-by-step explanation:</u>

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

3 x + 2 x = 5 x

Therefore, his work should be

5 x - 6 = 24

Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

5 x - 6 = 24

+ 6 = + 6

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

5 x = 30

Dividing 30 by 5, we get answer as '6'. Hence,

$x=\frac{30}{5}$ = 6

So, stated the above two are the mistakes found in carlos work.

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3 years ago