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3 years ago

Consider these four powers.

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

Answer: C

Step-by-step explanation:

navik [9.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

All the powers equal 1 because any number to the power of 0 equals 1.

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in two or more complete sentences, explain how to find the interval(s) in which the function f(x) is decreasing and how interval

Irina18 [472]

The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero. Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.

In this case the function is decreasing when x=[-8,-5) and when x=[4,8)

So in interval notation: x=[-8,-5)U[4,8)

4 0

3 years ago

N is an integer -1 < n < 4 list the possible values of n

Akimi4 [234]

Look at the picture. The only integer numbers meeting the given condition are 0,1,2,3.

So $n=\{0,1,2,3\}$

7 0

3 years ago

What is the following quotient? 1 divided by 1+ square root 3

ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

$\frac{1}{1+\sqrt{3}}$

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with $1-\sqrt{3}$ , as shown below:

$\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}$

Thus, 4th option gives the correct answer.

5 0

3 years ago

Read 2 more answers

Solve the following equation for f. Be sure to take into account

NikAS [45]

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

BRAINLIEST!!!

Nutka1998 [239]

Answer:

$\frac{35}{48}$

Step-by-step explanation:

Probability: $Probability=\frac{favourable\ outcome}{total\ outcome}$

Probability of NOT 6:

$Total\ outcomes=\{1,2,3,4,5,6\}\\\\Number\ of\ total\ outcomes=6\\\\Favourable\ Outcomes= NOT\ 6=\{1,2,3,4,5\}\\\\Number\ of\ favourable\ outcomes=5\\\\P(NOT\ 6)=\frac{5}{6}$

Probability of NOT H:

$Total\ outcomes=\{A,B,C,D,E,F,G,H\}\\\\Number\ of\ total\ outcomes=8\\\\Favourable\ Outcomes= NOT\ H=\{A,B,C,D,E,F,G\}\\\\Number\ of\ favourable\ outcomes=7\\\\P(NOT\ H)=\frac{7}{8}$

Probability of NOT 6 and NOT H:

$Both\ events\ are\ independent\\\\P(NOT\ 6\ and\ NOT\ H)=P(NOT\ 6)\times P(NOT\ H)\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{5}{6}\times \frac{7}{8}\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{35}{48}$

6 0

3 years ago