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2 years ago

What polynomial has roots of -6,1, and 4

Mathematics

2 answers:

kiruha [24]2 years ago

8 0

For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:

$(x + 6) (x-1) (x-4) = 0$

To build the polynomial we must multiply:

$(x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =$

Adding similar terms:

$x ^ 3 + x ^ 2-26x + 24$

Answer:

$x ^ 3 + x ^ 2-26x + 24$

pogonyaev2 years ago

5 0

Answer:

Step-by-step explanation:

http://www.math.vt.edu/people/renardym/class_home/poly/node1.html

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Which equation has the least steep graph? A. y = x + 6 B. y = -x - 9 C. y = 2x + 1 D. y = -7x - 2

maria [59]

Answer:

A and B.

Step-by-step explanation:

<h3>To get to know the graph with least slope, we have to write all equations in the form y=mx + c. </h3>

where m is the slope and c is the the y-intercept.

A. y = x + 6

For this equation m = 1

B. y = -x - 9

For equation B, m = -1

C. y = 2x + 1

In this equation, m = 2

D. y = -7x - 2

In equation D, m = -7

The equation with the highest slope is D while the one with the least slope/steep is A and B.

3 0

3 years ago

Read 2 more answers

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which state

dusya [7]

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.

P(vowel)=1/4

P(vowel) + P(consonant) = 1.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.

P(consonant) = 6/8 = 3/4.

P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

2 years ago

In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was

ikadub [295]

Answer:

36%

Step-by-step explanation:

line up $ and % data like this:

$2.79 represents 100%

$3.79 represents X%

cross multiply

X*2.79 = 3.79*100

divide both sides by 2.79

X= 3.79*100 / 2.79 ≈ 136%

so it increased 36%

7 0

2 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Hi guys how do u order decimals like this

Stels [109]

Answer:

Ascending Order: 0.432 < 0.5734 < 0.76373

Descending Order: 0.76373 < 0.5734 < 0.432

Step-by-step explanation:

Check the tenths place of the decimal number and order them accordingly. If the tenths place is the same for two decimal numbers, go on to the next corresponding place to compare their values.

6 0

1 year ago