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2 years ago

"if f(x)=x+1/x then the set of values for which f increases is"

1 answer:

4 0

The solution for this problem would be:
f'(x) = 1 - 1/x^2 = (x^2 - 1)/x^2
is positive where |x| > 1
hence (-inf, -1) and (1, inf) are the regions in which f' is positive and therefore f is increasing.
Therefore, the answer is (-infinity,-1] U [1,infinity).

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Translate Each sentence into an equation!!!

Amanda [17]

20+2N=52
now subtract 20 from each side, to get 2N alone
2N=32
now divide each side by 2
N=16

6 0

2 years ago

2(x-1) ≥ 10 or 3-4x > 15<br> Solve the compound inequality, and show work!

Veseljchak [2.6K]

Answer:

$x\geq 6\text{ or } x$

Step-by-step explanation:

We have the compound inequality:

$2(x-1)\geq10\text{ or } 3-4x>15$

Let's solve each of them individually first:

We have:

$2(x-1)\geq10$

Divide both sides by 2:

$x-1\geq5$

Add 1 to both sides:

$x\geq6$

We have:

$3-4x>15$

Subtract from both sides:

$-4x>12$

Divide both sides by -4:

$x$

Hence, our solution set is:

$x\geq 6\text{ or } x$

5 0

2 years ago

Read 2 more answers

A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are

ASHA 777 [7]

There are 210 different possible combinations

<h3>How to determine the number of possible combinations?</h3>

The given parameters are:

Types of candy, n = 10
Candies to taste, r = 6

The number of possible combinations is calculated using:

Combination = nCr

This gives

Combination = 10C6

Apply the combination formula

Combination = (10!)/((10 - 6)!6!)

Evaluate

Combination = 210

Hence, there are 210 different possible combinations

Read more about combination at:

brainly.com/question/11732255

6 0

2 years ago

Read 2 more answers

Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?

lakkis [162]

Answer:

$53

Step-by-step explanation:

17+24=41

41+12=53

3 0

2 years ago

Read 2 more answers

At the beginning of the spelling bee there were 60 participants. One-third of the participants were eliminated during the first

lesya [120]

Participants = 60
.
First round:
1/3 of 60 = 20
or
60 x 1/3
= 60/3
= 20
60 - 20 = 40
There are 20 participants that are eliminated on the first sound and 40 participants to move on to the second sound.
.
Participants = 40
Second round:
1/4 of 40 = 10
or
40 x 1/4
= 40/4
= 10
40 - 10 = 30
There are 10 participants that are eliminated on the second round and 30 participants that is moving on to the next round.
.
Participants = 30
Third round:
1/6 of 30 = 5
or
30 x 1/6
= 30/6
= 5
30 - 5 = 25
There are 5 participants that are eliminated on the third round and 25 participants to move on to the fourth round.
:)

3 0

2 years ago