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3 years ago

Write an situation for this equation and solve it. 35x = 525

2 answers:

7 0

Veronica has 525 beads to use to make bracelets. She makes 35 bracelets. How many beads did she use?
525 divided by 35 = x

NikAS [45]3 years ago

6 0

35x=525
35x/35=525/35
X=15

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Without graphing, where will the line y=7x-2 cross the y axis?

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The line crosses the y-axis at -2

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3 years ago

Find the Derivative.<br> f(x) = -xcos3x

DENIUS [597]

Answer:

$\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

$\frac{d}{dx} =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)$

In the function we are given, $f(x)=-x \cos3x$ , we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

$-x \\ $cos 3x$

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

$\frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)$

Now let's apply the product rule to f(x) = -xcos3x.

$\frac{d}{dx}(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)$

Simplify this equation.

$\frac{d}{dx}(-xcos3x)= (x)(3sin3x) - (cos3x)$

Multiply x and 3 together and remove the parentheses.

$\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Therefore, this is the derivative of the function $f(x)=-xcos3x$ .

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3 years ago

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