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2 years ago

Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros −1, 1, 4, 5 P(x) =

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

6 0

Answer:

The polynomial is;

x^4-9x^3+19x^2+9x-20

Step-by-step explanation:

Since it has a degree of 4, the highest power is 4

We have four zeros

So this means that each of the linear factors are;

We get this by equating each of the terms to x

(x-1)(x+1)(x-4)(x-5)

(x-1)(x+1) = x^2-1

So we have

(x-4)(x^2-1)

= x^3-x-4x^2 + 4

And lastly, we have

x(x^3-x-4x^2 + 4)-5(x^3-x-4x^2+4)

So we have;

x^4-x^2-4x^3+4x-5x^3+5x+20x^2-20

x^4-9x^3+19x^2+9x-20

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Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

$GI^{2} =GH^{2}+HI^{2}$

substitute the values and solve for HI

$17^{2} =8^{2}+HI^{2}$

$HI^{2}=17^{2}-8^{2}$

$HI^{2}=225$

$HI=15\ units$

Part 2) Find the measure of angle G

In the right triangle GHI

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

7 0

3 years ago

The two polygons are similar.Find the length of x

alexandr1967 [171]

Answer:

x = 9.2

Step-by-step explanation:

7 0

2 years ago

Tiffany types of a page in a page inof an hour. At this rate, how many pages will she type in 3 hours? Express your answer as a

Klio2033 [76]

Answer:

3.0pages

Step-by-step explanation:

If Tiffany type a page in an hour, then;;

1 page = 1 hour

To calculate the number of pages typed in 3 hours, we can express as;

x pages = 3 hours

Divide both expressions

1/x = 1/3

x* 1 = 1* 3

x = 3pages

She will type 3.0pages in 3 hours

7 0

2 years ago

Give me the best answer

Nadya [2.5K]

After rewriting all sets of data from smaller to greater, I found that the last series is the one that is represented by the plot box:

79,86,88,88,92,98,100,106,115,136

Why? Because The median is 95 (like the box)

because the outliers are > 115 (up to 136)
because their is no outlier on the left by the mini value of 79

7 0

3 years ago

If it takes 5 years for an animal population to double, how many years will it take until the population

muminat

9514 1404 393

Answer:

7.92 years

Step-by-step explanation:

We want to find t such that ...

3 = 2^(t/5)

where 2^(t/5) is the annual multiplier when doubling time is 5 years.

Taking logs, we have ...

log(3) = (t/5)log(2)

t = 5·log(3)/log(2) ≈ 7.92 . . . years

It will take about 7.92 years for the population to triple.

6 0

2 years ago