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nikitadnepr [17]
3 years ago
14

Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.
Tanya [424]3 years ago
4 0
<h2>Answer:</h2>

Option: C is the correct answer.

The polynomial in standard form is:

   C)    f(x)=x^3+6x^2-19x-24

<h2>Step-by-step explanation:</h2>

The standard form of a equation of a polynomial is written as :

  We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

f(x)=(x-a)(x-b)(x-c)

Here we  have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given  by:

f(x)=(x-(-8))(x-(-1))(x-3)\\\\\\f(x)=(x+8)(x+1)(x-3)

which on expanding gives:

(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\\\\(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\\\\(x+8)(x+1)(x-3)=x^3+6x^2-19x-24

Hence, the standard equation of the polynomial is:

         f(x)=x^3+6x^2-19x-24

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A horse ran 800 meters in 40 seconds , 1200 meters in 60 seconds , and 480 meters in 24 seconds . Is this a proportional relatio
frosja888 [35]

Answer:

This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.  

Equation:  d = 20s, where d=distance and s=number of seconds.

Step-by-step explanation:

In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same).  If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s.  For example:

\frac{1200-800}{60-40}=\frac{400}{20}=20

Since the constant is 20, we know that the horse can run 20 meters every second.  To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:

d = 20s

8 0
3 years ago
Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the ho
LuckyWell [14K]

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

\frac{CB}{AB}=tan72^{\circ}

\frac{6}{x}=tan72^{\circ}

\frac{6}{x}=3.077

x=\frac{6}{3.077}

x=1.94

x≈2m

Thus, option A is correct.

6 0
3 years ago
Read 2 more answers
Bill found a pair of running shoes for $57. The regular price was $68.99. He also found a sweat suit that was originally $37.80.
mestny [16]

Answer: i believe bill saved $21.44

Step-by-step explanation: 68.99-57=11.99

37.80-25%=28.35

37.80-28.35=9.45

9.45+11.99=21.44

8 0
3 years ago
What is 4/9 closest to 0,1/2 or 1
topjm [15]

Answer:

1/2

Step-by-step explanation:

4/9 is equal to 4.444 repeating so that would be closest to 1/2

4 0
2 years ago
Read 2 more answers
Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a
hammer [34]

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

4 0
2 years ago
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