5. What is a cubic polynomial function in standard form with zeros 1, -2, and 2?

A f(x)= x3 + x2 – 3x + 4
B f(x)=x2 + x2 - 4x – 2
C f(x)=x + x2 + 4x +4
D f(x)=x²-x2 - 4x + 4


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Answers

Answer 1

Answer:

D

Step-by-step explanation:

we're given the three zeros of a cubic polynomial

[tex]f(x) = (x-1)(x+2)(x-2)\\f(x) = (x-1)(x^2-4)\\f(x) = x(x^2) - 4x - x^2 + 4\\f(x) = x^3 - x^2 - 4x + 4[/tex]


Related Questions

Which values of x are solutions to this equation? |x/-4| = 2
-x = 4 or x = 8
-x = 2 or x = 6
-x = -2 or x = 2
-x = -8 or x = 8

Answers

Answer:

Step-by-step explanation:

|x/-4| = 2 corresponds to two different equations:

1) -x/4 = 2 if x/-4 is already positive, and

2) x/4 = 2 if -x/4 is negative, due to the absolute value operator

In case 1, -x = 8, or x = -8

and

in case 2, x = 8

so the solution set is {-8, 8}

Double check to ensure that you have copied down this problem correctly.  Your " |x/-4| " looks odd/ambiguous

Answer:

|x/-4| = 2 corresponds to two different equations:

1) -x/4 = 2 if x/-4 is already positive, and

2) x/4 = 2 if -x/4 is negative, due to the absolute value operator

In case 1, -x = 8, or x = -8

and

in case 2, x = 8

so the solution set is {-8, 8}

Double check to ensure that you have copied down this problem correctly.  Your " |x/-4| " looks odd/ambiguous

Step-by-step explanation:

Matt was babysitting for friend's parents Saturday morning and was paid an $10 per hour for 3 hours. Later that evening, he was baby sitting for another couple that paid him $20 per hour for 5 hours. What was Matt's average rate of pay per hour for the day?

Answers

Answer:

$16.25 per hour

Step-by-step explanation:

Given that:

First babysitting pay :

$10 per hour

Duration = 3 hours

Earning = $10 * 3 = $30

Second babysitting pay:

$20 per hour

Duration = 5 hours

Earning = 20 * 5 = $100

Average rate of pay per hour for the day:

Total amount earned / total hours worked

$(30 + 100) / (3 + 5) hours

$130 / 8 hours

= $16. 25 per hour

A person rents a scooter that travels at a average speed of 12 km/hr hoping to reach a beach 20 km away . How much time will it take to reach the beach

Answers

Answer:

1.5

Step-by-step explanation:

PLEASE HELP ME!!! what is 41=12d−7 when d= what?

Answers

Answer:

its 4

Step-by-step explanation:

41=12d-7

48=12d

d=4

How long does it take each horse to run a mile? Please answer ASAP!

Answers

It takes 2 minutes for each horse

In the inequality, what are all the possible values of x?
2(x + 12) - 16 58


Answers

Answer:

B)

Step-by-step explanation:

2(x + 12) − 16 ≤ 8

I am joyous to assist you anytime.

Answer:

b

Step-by-step explanation:

:)

If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles.

Answers

Answer:

2 hours

Step-by-step explanation:

3 miles per hour

3 x 2 = 6

Answer:

2 hours

Step-by-step explanation:

-2(5x - 2) + 18x + 5

Answers

Answer:

8x + 9

Step-by-step explanation:

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? Round to the nearest whole number

Answers

Answer:

59 feet per second.

Step-by-step explanation:

Firstly, we need to convert miles into feet and hours into seconds.

We know that there are 5280 feet in a mile.

To convert hours into seconds we multiply how many minutes are in an hour by how many seconds there are in a minute (60x60) to get 3600.

We multiply 5280 by 40 to get 211200 feet per hour

Because of the word "PER" we know that this is a divison problem.

211200 divided by 3600 is 58.66 repeating. Rounded to the nearest whole number makes it 59 feet per second.

Somebody please help!! I’ll give brainliest!!!

What is the value of x in the matrix equation below?

3/2{x,6,8,4}+y{1,4,3,2}={z,z,6z,2}

A. -2
B. 1
C. 2
D. 3

Answers

Answer:2 or -2

Step-by-step explanation:

either one is still correct

Answer: c) 2

Step-by-step explanation: on edge

If a data set is normally distributed, what percent of the data will lie above the mean? 99.7% 95% 68% 50%

Answers

The normal distribution is also known as the Gaussian distribution. The percentage of the data that will lie above the mean is 50%.

What is a normal distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean.

As we know that normal distribution is symmetric to the mean, therefore, If a data set is normally distributed, the percentage of the data that will lie above the mean is 50%.

Learn more about Normal Distribution:

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Ggffhjvthhhgggyrrhhj

Answers

Sksjskkskskskdkdkkskd
Opppp
Op was her broski

You started a new job that pays $9.50 per hour. After 8 hours of work, you will get a bonus. Your boss tells you she
will pay you a total of $100 which includes the hourly pay and the bonus, at the end of the 8 hours. How much is the
bonus that you will receive?

Answers

Answer:

$24

Step-by-step explanation:

So because the rate of pay is 9.5 and hour, and they work 8 hours,

9.5 x 8 = 76

and because you make 100 after the 8 hours,

100-76 = 24

Can somebody help me ?

Answers

Answer:

A. 2+9=9+2

Step-by-step explanation:

A is the correct answer. Hope this helps

The diameter of a circle is 10 yards. Find the approximate circumference of the circle, using 3.14 for p.

Answers

Answer:

78.5

Step-by-step explanation:

Formula:

A=πr2

d=2r

10/2 = 5 (5 is the radius)

5^2= 25

25 x 3.14 = 78.5

Answer:

yes that w a sbthe answer and I got it right

another question guys!!
Ryan needs to go to Target to buy a few things. He knows that the CD he wants is $12 and that he plans to buy a few DVDs as well. Each DVD is $5. If Ryan buys 3 DVD’s, how much money will he spend in total?

Answers

Answer:

27 dollars

Step-by-step explanation:

Basically it's just 3 x 5 + 12 or if ya want it broken down, 15 + 12

Answer:

Well the answer is either $27 or 22

If he's buying the $12 then the 3 $5 ones then its 27.

If he's just buying the $12 one then 2 $5 ones then its 22.

Hope this helps please mark brainliest!

Step-by-step explanation:

12+5+5+5=27

12+5+5=22

what is the answer for 10 minutes until 2

Answers

Answer:

1:50

Step-by-step explanation:

2:00-:10=1:50

a shop sells flower fertiliser in 25kg bags and in 50kg bags. one week,the shop has two special offers for the fertiliser.
offer a(25kg) 2 bags for £35 offer b(50kg) 3 bags for £92.50
which offer(a or b ) is the best value for money?

Answers

Answer:

Offer b is the best value for money

Step-by-step explanation:

Average Value

To compare different offers of the same product, we often calculate the average value of each offer. Once we have all the values referred to a common base, we can compare and decide.

The shop is offering 2 bags of 25 Kg of fertilizer for £35 and 3 bags of 50 Kf of fertilizer for £92.50.

Since the number of kilograms per bag and the number of bags for each offer are not the same, we calculate the cost of each kilogram of fertilizer for each offer.

The first offer is for 2 bags of 25 kg, that is, 50 Kg of fertilizer. The cost of each kilogram is

£35/50 = £0.7

The second offer is for 3 bags of 50 Kg, that is, 150 Kg of fertilizer, which cost per kilogram is:

£92.50/150 = £0.62

Since the second cost per kilogram is less than the first one, offer b is the best value for money

Find the least common denominator (LCD) of
7/12 and 3/2

Answers

Answer:

12

Step-by-step explanation:

Rewriting input as fractions if necessary:

7/12, 3/2

For the denominators (12, 2) the least common multiple (LCM) is 12.

LCM(12, 2)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/12 = 7/12 × 1/1 = 7/12

3/2 = 3/2 × 6/6 = 18/12

She needs to add one half of a teaspoon of salt, 1 and one fourth teaspoons of Oregano, three fourths of a teaspoon of Basil and half as much pepper as salt. What is the total number of teaspoons of spices in the dish? Express the answer as a decimal.

Answers

Answer:

Total number of teaspoons is 2.75

Step-by-step explanation:

Here, we want to know the total number of teaspoons of spices in the dish

we can calculate this by adding together the individual number of spices

That will be ;

1/2 + 1 1/4 + 3/4 + 1/2(1/2)

1/2(1/2) represents half as much pepper as salt

1/2 = 0.5

1 1/4 = 1.25

3/4 = 0.75

1/2(1/2) = 1/4 = 0.25

The total number of tea spoons will be;

0.5 + 1.25 + 0.75 + 0.25 = 2.75

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tickets, the drama department raises a total of $1,920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?
A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tickets, the drama department raises a total of $1,920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?

Answers

Answer:

They sold 210 adult tickets

Step-by-step explanation:

6(40)+8x=1920

240+8x=1920

-240      -240

8x=1680

/8      /8

x=210

Find the sum. 6/9 • 1/3=?

Answers

Answer:

its 8.97 I think

Step-by-step explanation:

6.9×8.97

Answer:

[tex]\frac{6}{27}[/tex]

A principal decides to survey the parents at her school to find out their opinion on
standardized testing. She calls randomly-chosen parents between 4:00 and 5:00 P.M.
every day for a week and collects data on their responses. Identify the population
and the sample. Give a reason why the sample could be biased.
Oa)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: The parents who answered the phone may not be
representative of the whole population because younger parents are more
likely to answer the phone than older ones.
b)
Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not
be representative of the whole population.
Oc) Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Some parents do not like a particular teacher.
d)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: Some of the people contacted did not answer every question

Answers

Answer: B

Population: All parents with students at the school

Sample: All parents who respond to the survey

Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not be representative of the whole population.

CASH APP
A new car is purchased for \$41,000$41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?

Answers

the answer should be around $19,772 and 38¢

Mr. Diaz decreased the speed of his car by 40 miles per hour over a period of 10 seconds. Find the average change in speed each second

Answers

Answer: the answer is 3 mph/second

Step-by-step explanation:

3/8 is equal to

A.0.222
B.0.375
C.0.444
D.0.666

Answers

Answer:

B. 0.375

Step-by-step explanation:

If f(x) = 6x - 2, what is the value of f(4)?
O 16
O 22
O24
O26

Answers

Answer: 22

Step-by-step explanation:

6(4)-2

If f(x) = 6x - 2, the value of f(4) is 22. The correct option among the given ones is 2.

What is function?

A function in mathematics is a relationship between a set of inputs (also known as the domain) and a set of outputs (also known as the range) that has the property that each input is related to exactly one output.

Functions are widely used in many branches of mathematics and are critical for modelling relationships between variables in fields such as science, engineering, and economics.

They are represented by equations or rules that specify how the output values are obtained from the input values.

The given function is f(x) = 6x - 2.

To find the value of f(4), we substitute x = 4 in the given function and evaluate:

f(4) = 6(4) - 2

f(4) = 24 - 2

f(4) = 22

Thus, the value of f(4) is 22, i.e., the correct option is 2.

For more details regarding function, visit:

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PLEASE HELP!! what is the value of x? what is the value of y?

Answers

Answer:

x=36° y=66°

Step-by-step explanation:

3x+6+x+30 = 180° (Supplementary angles)

4x+36 = 180

4x = 180 - 36

4x = 144

x = 36

y+3x+6 = 180° (Supplementary angles)

y+3*36+6 = 180 (plug in the value of x)

y+108+6 = 180

y= 180-108-6

y = 66

What is the (approximate) absolute magnitude of a stage-5 protostar?

Answers

Answer:

M= 1.4

Step-by-step explanation:

i'll be honest I just slapped into google and a Quizlet popped up


Solve y/8 +5 = - 10.
y =
(Type an integer or a simplified fraction.)

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Step-by-step explanation:

y/8=-10-5

y/8=-15

y=15×8

y=120

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