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3 years ago

7

Find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no soluti

on, enter no solution.) 6 cos3 x = 6 cos x

1 answer:

lawyer [7]3 years ago

5 0

0, π/2, π, 3π/2
__________

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What is the factor of x2+3x-18?

olga2289 [7]

Step-by-step explanation:

$x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)$

Thank you ☺️☺️

4 0

3 years ago

Please tell me the answers and how you got them step by step

kupik [55]

Keep in mind we'll convert the mixed fractions to "improper" and then proceed, also keep in mind that minus times minus is plus,

$\bf -5-\cfrac{5}{3}\impliedby \stackrel{LCD}{3}\implies \cfrac{(-5\cdot 3)-(5\cdot 1)}{3}\implies \cfrac{-15-5}{3}\implies \cfrac{-20}{3}
\\\\\\
{-6\frac{2}{3}}\\\\
-------------------------------\\\\
-1\frac{1}{3}-1\frac{2}{3}\implies -\cfrac{1\cdot 3+1}{3}-\cfrac{1\cdot 3+2}{3}\implies -\cfrac{4}{3}-\cfrac{5}{3}$

$\bf \stackrel{LCD}{3}\implies \cfrac{-4-5}{3}\implies \cfrac{-9}{3}\implies -3\\\\
-------------------------------\\\\
-\cfrac{1}{2}-\left(-\cfrac{5}{9} \right)\implies -\cfrac{1}{2}+\cfrac{5}{9}\impliedby \stackrel{LCD}{18}\implies \cfrac{(-1\cdot 9)+(5\cdot 2)}{18}
\\\\\\
\cfrac{-9+10}{18}\implies \cfrac{1}{18}$

7 0

3 years ago

You roll a 6-sided die two times. What is the probability of rolling a 4 and then rolling a 2? (Write your answer as a fraction

Delicious77 [7]

Answer:

1/36

Step-by-step explanation:

On the first throw, the probability of rolling any particular number, 1 through 6, is 1 out of 6. So the chance of rolling a 4 is 1/6.

On the second roll, your probability of rolling a 2 is 1/6.

The 'trick' is knwoing what to do with those two numbers.

Here's the rule: If events are dependent on one another, you multiply the probabilities.

Any time you see a scenario where X has to happen <u>and then </u>some other thing (X, Y, or whatever) has to happen, the events are dependent.

Probability of rolling a 4 <u>and then</u> rolling a 2 = 1/6 * 1/6 = 1/36

Hope this helps.

4 0

2 years ago

Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers

oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given : The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers $x, x+1, x+2$

So, according to given situation 'sum of three consecutive integers is 84'.

$x+x+1+x+2=84$

$\Rightarrow 3x+3=84$

$\Rightarrow 3x=84-3=81$

$\Rightarrow x=\frac{81}{3}$

$\Rightarrow x=27$

So, $x=27$

$x+1= 27+1=28$

$x+2=27+2=29$

Therefore, three consecutive numbers are 27,28,29

4 0

2 years ago

What is the smallest number that can be added to 1923 to make the answer divisible by 9?

Stolb23 [73]

Answer:

3

Step-by-step explanation:

1926/9=214

1923+3=1926

7 0

3 years ago