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Ivenika [448]
2 years ago
13

A polynomial function has a zeros - 1, 2, and 7 (all multiplicity 1). Write a function in standard

Mathematics
1 answer:
sineoko [7]2 years ago
3 0

Answer:

-12 of 3

Step-by-step explanation:

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The answer is the 3rd one

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A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23
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The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

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Write an equation for the trend line in slope-intercept form. <br><br> Please help me !
anastassius [24]

Answer:

y=0.05x+0.25

Step-by-step explanation:

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3 years ago
Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.
Marianna [84]

Answer:

\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right ).

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

x=4cos (t)

\dfrac{dx}{dt}=-4sin (t)

y=4sin (t)

\dfrac{dy}{dt}=4cos (t)

Now,

\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}

\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}

\dfrac{dy}{dx}=-\cot t

So, slope of the curve is -\cot t.

-\cot t=\dfrac{1}{2}

-\tan t=2

\tan t=-2            ...(1)

Using \sec^2t=1+\tan^2t, we get

\sec^2t=1+(-2)^2

\sec^2t=1+4

\sec t=\pm \sqrt{5}

\cos t=\pm \dfrac{1}{\sqrt{5}}

Now,

\sin^2t=1-cos^2t

\sin t=\pm \sqrt{1-\dfrac{1}{5}}

\sin t=\pm \sqrt{\dfrac{4}{5}}

\sin t=\pm \dfrac{2}{\sqrt{5}}

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If \sin t= \dfrac{2}{\sqrt{5}}, then \cos t=- \dfrac{1}{\sqrt{5}}.

x=4cos (t)=-\dfrac{4}{\sqrt{5}}

y=4sin (t)=\dfrac{8}{\sqrt{5}}

If \sin t=- \dfrac{2}{\sqrt{5}}, then \cos t= \dfrac{1}{\sqrt{5}}.

x=4cos (t)=\dfrac{4}{\sqrt{5}}

y=4sin (t)=-\dfrac{8}{\sqrt{5}}

Therefore, the two points are \left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right ).

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Jesse has $3.02 worth of pennies and nickels in his piggy bank. The number of nickels is three more than eight times the number
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It is how many nikles he has
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