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Valentin [98]
3 years ago
14

Round 80,531 to nearest thousand

Mathematics
2 answers:
Likurg_2 [28]3 years ago
6 0

Answer:

81,000

Step-by-step explanation:

5 or grrater raise the score. since we are looking for thousands you will use the five in the hundred spot

Hoochie [10]3 years ago
4 0

Answer:

The answer is 81,000 Because it's not higher than 81,555

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Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
6. Jay has a rope that is 31 ft long. He
SCORPION-xisa [38]

Answer:

No, he does not have enough rope. 0.26 ft short.

Step-by-step explanation:

3 x 10.42 = 31.26

31.26 - 31 = 0.26

3 0
3 years ago
If a = b and b = c, which statement must be true?
murzikaleks [220]

Answer:

D.- ac

Step-by-step explanation:

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3 years ago
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A fair owner made 18 dollars when a group of 3 people entered which is a rate of dollar per person
Rus_ich [418]

Answer:

$6

Step-by-step explanation:

If a fair owner makes $18 for a group of 3 people, then the amount per person is 18 ÷ 3 = 6. The rate is $6.

7 0
3 years ago
Please help me please answer it correctly
Kruka [31]

Answer:

$1,150

Step-by-step explanation:

<u>Step 1:  Find the total new members</u>

40 - 10

30 new members

<u>Step 2:  Add them to the total</u>

30 + 200

230 total members

<u>Step 3:  Find the money earned</u>

230 * 5

$1,150

Answer:  $1,150

8 0
3 years ago
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