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2 years ago

Need help with number 22

Mathematics

1 answer:

Serga [27]2 years ago

4 0

The sums range from 2 to 12 of which 6 are even out of 11 possible sums.
There are 4 multiples of 3, two of which are odd.

So the number of even sums is 6 and there are 2 unique or odd multiples of 3.

So there are a total 6+2=8 outcomes we want out of 36 possible outcomes.

The probability is then 8/36 or 2/9

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Find 4 x f(x) if f(x)=-3x-8

VLD [36.1K]

Replace f(x) in the equation with what it equals:

$4 \times (-3x - 8)$

Distribute 4 to each term in parentheses:

$4 \times -3x = -12x$
$4 \times -8 = -32$

$-12x - 32$

The answer is C.

7 0

2 years ago

Rewrite 9cos 4x in terms of cos x.

rosijanka [135]

$\bf \qquad \textit{Quad identities}\\\\
sin(4\theta )=
\begin{cases}
8sin(\theta )cos^3(\theta )-4sin(\theta )cos(\theta )\\
4sin(\theta )cos(\theta )-8sin^3(\theta )cos(\theta )
\end{cases}
\\\\\\
cos(4\theta)=8cos^4(\theta )-8cos^2(\theta )+1\\\\
-------------------------------\\\\
9cos(4x)\implies 9[8cos^4(x)-8cos^2(x)+1]
\\\\\\
72cos^4(x)-72cos^2(x)+9$

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

as far as the previous one on the 2tan(3x)

$\bf tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\qquad tan({{ \alpha}} + {{ \beta}}) = \cfrac{tan({{ \alpha}})+ tan({{ \beta}})}{1- tan({{ \alpha}})tan({{ \beta}})}\\\\
-------------------------------\\\\$

$\bf 2tan(3x)\implies 2tan(2x+x)\implies 2\left[ \cfrac{tan(2x)+tan(x)}{1-tan(2x)tan(x)}\right]
\\\\\\
2\left[ \cfrac{\frac{2tan(x)}{1-tan^2(x)}+tan(x)}{1-\frac{2tan(x)}{1-tan^2(x)}tan(x)}\right]\implies 2\left[ \cfrac{\frac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}}{\frac{1-tan(x)-2tan^3(x)}{1-tan^2(x)}} \right]
\\\\\\$

$\bf 2\left[ \cfrac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}\cdot \cfrac{1-tan^2(x)}{1-tan(x)-2tan^3(x)} \right]
\\\\\\
2\left[ \cfrac{3tan(x)-tan^3(x)}{1-tan^2(x)-2tan^3(x)} \right]\implies \cfrac{6tan(x)-2tan^3(x)}{1-tan^2(x)-2tan^3(x)}$

4 0

2 years ago

6th grade help please

miv72 [106K]

12 + 6x + 6x + 6y = 12 + 12x + 6y

8 0

2 years ago

Read 2 more answers

HELP ME PLEASEEEEEEEEEE

Licemer1 [7]

Answer:

The area is 35

The perimeter is 24

Step-by-step explanation:

You can count the individual units of the length and the width of the rectangle.

The width is 5, the length is 7

The area is 5*7=35

The perimeter is 5+5+7+7=24

6 0

2 years ago

Read 2 more answers

Simplify 2/5 (40x – 75)

astraxan [27]

Answer:

16x-30

Step-by-step explanation:

distribute 2/5 by 40x and then 75

2/5(40x) - 2/5(75)

16x - 30

3 0

2 years ago