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2 years ago

Can you help me with this problem? Its for my PreCalculus class.

Mathematics

1 answer:

Ivanshal [37]2 years ago

7 0

(X^4 - 3X^3 - 17X^2 - 3X - 60)

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Solve for a in terms of b and c:3a+4b=c

MariettaO [177]

We want a in terms of b and c: 3a+4b=c

Isolate 3a on the left side: 3a = c - 4b
Divide all terms by 3:

a = c/3 - 4b/3 (answer)

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3 years ago

A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t seconds is given by s(t) = 2t^3 +

IRISSAK [1]

The ball's velocity will be represented by the derivative of its distance function:

$s'(t)=6t^2+6t$

Now find the times $t$ for which this is equal to 30, i.e. solve

$6t^2+6t=30\implies t^2+t-5=0$

This has two solutions, $t=-\dfrac{1\pm\sqrt{21}}2$ , but only one is positive and falls in the interval $[0,3]$ . So the velocity reaches 30 cm/s when $t=-\dfrac{1-\sqrt{21}}2\approx1.79$ .

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3 years ago

What fraction is equal to the decimal 0.32? Enter your answer in the box in simplest form.

AVprozaik [17]

The answer is 8/25 I believe

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3 years ago

Pls explain how to do this will give brainliest to best answer

Delicious77 [7]

Answer:

1st Graph:

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3 years ago

The functions f (theta) and g (theta) are sine functions, where f (0) equals g (0) equals 0.The amplitude of f (theta) is twice

777dan777 [17]

If period of $f(\theta)$ is one-half the period of $g(\theta)$ and
 $g(\theta)$ has a period of 2π, then $T_{g} =2T_{f}=2 \pi$ and $T_{f}= \pi$ .

To find the period of sine function $f(\theta)=asin(b\theta+c)$ we use the rule $T_{f}= \frac{2\pi}{b}$ .

f is sine function where f (0)=0, then c=0; with period $\pi$ , then $f(\theta)=asin 2\theta$ , because $T_{f}= \frac{2 \pi }{2} = \pi$ .

To find a we consider the condition $f( \frac{ \pi }{4} )=4$ , from where $asin2* \frac{\pi}{4} =a*sin \frac{ \pi }{2} =a=4$ .

If the amplitude of $f(\theta)$ is twice the amplitude of $g(\theta)$ , then $g(\theta)$ has a product factor twice smaller than $f(\theta)$ and while period of $g(\theta)$ is 2π and g(0)=0, we can write $g(\theta)=2sin\theta$ .

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3 years ago

Can you help me with this problem? Its for my PreCalculus class.​

Can you help me with this problem? Its for my PreCalculus class.