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3 years ago

Why does y=cos(2x)sin(2x) simplify to y=sin(4x)/2 for derivatives?

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

First y

y=0

second y

y=0

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-5(-x - 1) + 4x – 1= 49<br> solve for x

Anton [14]

Answer:

x=5

Step-by-step explanation:

-5(-x - 1) + 4x – 1= 49

Distribute

5x +5 +4x -1 = 49

Combine like terms

9x +4 = 49

Subtract 4 from each side

9x+4-4 = 49-4

9x = 45

Divide by 9

9x/9 =45/9

x = 5

4 0

3 years ago

Read 2 more answers

“x is at most –5 or at least 7.”

uysha [10]

<span>x is at most –5 or at least 7 is written as $x \leq -5 \ or \ x \geq 7$ </span>

7 0

3 years ago

Last month a museum received €21000 in donations.After taking off the cost of monthly bills,,the museum spent the remaining mone

Rainbow [258]

Answer:

$13,500.

Step-by-step explanation:

Let x represent money spent on monthly bills.

We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.

We will use proportions to solve our given problem.

$\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}$

$\frac{x}{21000}=\frac{5}{14}$

$\frac{x}{21000}*21000=\frac{5}{14}*21000$

$x=5*1500$

$x=7500$

Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:

$\$21,000-\$7500=\$13,500$

Therefore, they spent $13,500 on new exhibitions.

6 0

3 years ago

Add or subtract. Simplify your answer. x+2/x^2−100 + 8/x^2−100

stiv31 [10]

$\dfrac{x+2}{x^2-100}+\dfrac{8}{x^2-100}=\dfrac{x+2+8}{x^2-100}=\dfrac{x+10}{x^2-10^2}\\\\=\dfrac{x+10}{(x+10)(x-10)}=\dfrac{1}{x-10}\to\fbox{B.}\\\\\\The\ domain:\\D:m\neq0\ and\ m\neq-7\\\\\dfrac{1}{m}=\dfrac{2}{m+7}\ \ \ \ |cross\ multiply\\\\2\cdot m=1\cdot(m+7)\\2m=m+7\ \ \ \ |subtract\ "m"\ from\ both\ sides\\\boxed{m=7}$