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3 years ago

Create a quartic polynomial function in standard form with zeros 3, –4, –4, and 1? Show work.

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

The polynomial is the expansion of (x-3)(x-1)(x+4)²

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How many x intercepts does the polynomial function y=(x-8)(x+3)^2

guajiro [1.7K]

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8 →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)

4 0

2 years ago

Find the population variance and standard deviation. 8â€‹, 17â€‹, 29â€‹, 35â€‹, 41 Choose the correct answer below. Fill in the

Nuetrik [128]

Answer:

(a) σ² = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - $\overline{X}$ )² / N

The arithmetic mean $\overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}$

$\overline{X} = \frac{130}{5}$

$\overline{X} = 26$

σ² = $\frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}$

= $\frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}$

= $\frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}$

= $\frac{720}{4}$

σ² = 144

(b) $Standard\ deviation = \sqrt{Variance}$

$= \sqrt{144}$

= 12

7 0

3 years ago

Luciano is training for a 10-kilometer race. How many meters is 10 kilometers?

Elina [12.6K]

Answer:

10000

Step-by-step explanation:

it is 10000 because 1 kilometer is a thousand meters

7 0

3 years ago

What is the simplified form of sqrt(72x^16/50x^36 assume x does not =0

love history [14]

Answer:

the correct answer is A

6/5x^10

Step-by-step explanation:

8 0

3 years ago

X+½x+7y=0 what is the value of y=?

Ganezh [65]

Answer:

$\frac{-3x}{14}$

Step-by-step explanation:

$x+\frac{1}{2}x+7y = 0\\$

$1.5x + 7y = 0$

$7y = -1.5x$

$y = \frac{-1.5x}{7}$

$= \frac{-3x}{14}$

Hope this helps :)

7 0

2 years ago

Read 2 more answers