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son4ous [18]
3 years ago
11

A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1)

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

Y=3x(x-4)

Step-by-step explanation:

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Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form.
Cerrena [4.2K]
First find the LCD. That is 8.

1/2 = 4/8

7/8 + 4/8 = 11/8 or 1 3/8
4 0
4 years ago
Find the exact value of cot(15degrees) using half angle formulas?
liubo4ka [24]

Double angle (or half angle, depending how you look at it) identities:

\cos^2\dfrac x2=\dfrac{1+\cos x}2

\sin^2\dfrac x2=\dfrac{1-\cos x}2

\implies\cot^2\dfrac x2=\dfrac{\cos^2\frac x2}{\sin^2\frac x2}=\dfrac{1+\cos x}{1-\cos x}

So we have

\cot^215^\circ=\dfrac{1+\cos30^\circ}{1-\cos30^\circ}=\dfrac{1+\frac{\sqrt3}2}{1-\frac{\sqrt3}2}

\implies\cot^215^\circ=7+4\sqrt3

\implies\cot15^\circ=\sqrt{7+4\sqrt3}=2+\sqrt3

Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know \cos15^\circ>0 and \sin15^\circ>0, so it's also the case that \cot15^\circ>0.

Also, the reason we have equality in the last step can be explained like so:

7+4\sqrt3=4+4\sqrt3+3=4+4\sqrt3+(\sqrt3)^2=(2+\sqrt3)^2

(not unlike the process used to complete the square)

8 0
4 years ago
Read 2 more answers
Which of the equations below represents a line parallel to the x-axis
denis23 [38]

Answer:

D.

Step-by-step explanation:

a line that is y= is always horizontal.

3 0
3 years ago
If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)
AnnZ [28]

Answer:

5

Step-by-step explanation:

To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = \sqrt{9} = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

8 0
3 years ago
In ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. What ratio represents the sine of ∠G?
andrew11 [14]

we have been given that in ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. We are asked to find the ratio that represents the sine of ∠G.

First of all, we will draw a right triangle using our given information.

We know that sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

We can see from the attachment that opposite side to angle G is FH and hypotenuse is GF.

\text{sin}(\angle G)=\frac{FH}{GF}

\text{sin}(\angle G)=\frac{45}{53}

Therefore, the ratio \frac{45}{53} represents the sine of ∠G.

7 0
4 years ago
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