The standard form of the polynomial is written as:
p(x) = 3*x^3 - 6*x^2 - 3x + 6
How to write the polynomial in standard form?We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:
p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}
Then we can write:
p(x) = 3*(x + 1)*(x - 1)*(x - 2)
Now we need to expand that, we will get:
p(x) = 3*(x + 1)*(x - 1)*(x - 2)
p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)
p(x) = 3*(x^2 - 1)*(x - 2)
p(x) = 3*(x^3 + x^2*(-2) - x + 2)
p(x) = 3*x^3 - 6*x^2 - 3x + 6
That is the polynomial in standard form.
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What was the function of the polis as it developed in Greek civilization?
Answer: "A city-state, or polis, was the community structure of ancient Greece. Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings."
"The polis was a structure of community amongst the ancient Greek world and it controlled a surrounding territory of land. An individual polis was independent from the other poleis in regards to legal, religious, social, political and judicial institutions and practices."
Answer:
~The function of the polis as it developed in Greek civilization is it was designed for areas such as private, public, religious functions and buildings. It was often used in the Iron age development for public buildings. Hoped that helped.~
Step-by-step explanation:
In direct variation y = kx. What is the value of k if y = 20 and x = 4 ?
What is the value of y for the point with an x-value of 5?
Solve by using substitution.
=3−8
=−4
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
1/2x6=?
whats the answer
Answer:
3
Step-by-step explanation:
Answer:
1/2x6=3
Step-by-step explanation:
i hope this helps :)
Jack is selling used computers. he is paid $15/h plus a 5% commission on sales. What dollar amount of computer sales must jack make to earn $1000 in a 40-h work week.
Answer:
8000
Step-by-step explanation:
Jack sold worth $8000 computer sales in the last week.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Jack is selling used computers. He is paid $15/h plus a 5% commission on sales.
He made $1000 in a 40-h week,
∴ He made $(15×40) = $600 for his work hours and $(1000 - 600)
= $400.
So, $400 dollars in 5% of the total sales and assuming he made a sell of $x.
∴ (5/100)×x = 400.
0.05x = 400.
x = 400/0.05.
x = 8000.
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R and S represent positive integers on a number line and R
Answer:
D u got it right if thats wrong then its C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZ
Answer:
The answer is c. I know the rest of the problem, I have done this before. The full question is:R and S represent positive integers on a number line
and R<S. Which of the following could be the
positions of R and S ? Both R and S is on the right of 0, and R is behind S.
Step-by-step explanation:
ace please help help
Answer: A
HOPE THIS HELPS
Anybody know this. Kinda need help
Answer:
[tex]g(x) = {(3x)}^{2} [/tex]
PLEASE I NEED THIS ASAP! FIRST CORRECT ANSWER GETS BRAINLY!
the two dot plots below compare the forearm lengths of two groups of school children.
based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group B, because five children have a forearm length longer than 12 inches.
B. Group B, because a child in the group has the least forearm length of 10 inches.
C. Group A, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because four children in the group have the least forearm length of 10 inches.
Answer:
A ;)
Step-by-step explanation:
Person above was right.
Mikey has a bag that contains 8 green jelly beans, 7 red jelly beans and 2 yellow jelly beans. Which best describes the likelihood that Mikey will reach in without looking and select a yellow jelly bean?
A. Likely
B. Impossible
C. Certain
D. Unlikely
Answer:
unlikely
Step-by-step explanation:
Hey guys, could someone please help me answer question 3 (use the graph) ASAP and also I would like the working out~
thxx✨
Answer:
B. 5.6%
Step-by-step explanation:
Add all the visitors up which equals 4215.5 and do 236.9 divided by 4215.5 and you get 0.056 which converted to a percentage equals 5.6%. Hope this helps.
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8per month now, in about how many years will it take to reach $20 per month
Answer:
6 years
Step-by-step explanation:
is the answer
A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold was 69 less than the number of
psychology textbooks sold. How many textbooks of each type were sold?
Answer:
Step-by-step explanation:
h and p are the number of history and psych textbooks, respectively.
store sold a total of 411 textbooks in a week.
h + p = 411
The number of history textbooks sold was 69 less than the number of psychology textbooks sold.
h = p - 69
Substitution
(p-69) + p = 411
2p = 411+69
p = 240
h = p-69 = 171
171 history books and 250 psych books
Zack’s Italian Pizza Bar baked 2,000 pizzas in the first year that they were open. In the second year, they baked 3,000 pizzas and in the third year 4,000 pizzas. Write a function that could model the growth of pizzas baked, where x = 0 is the first year.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.
In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).
In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).
In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).
Therefore, the relationship between x and y is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Using the points (0, 2000) and (2, 4000):
[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]
Does (7, 8) make the equation y = x + 5 true?
Answer:
..
Step-by-step explanation:
no the correct point would be (7,12)
7x1=7
7+5=12
Answer:
nop0e
Step-by-step explanation:
Divide 750 into the ratio 2:3
Answer:
300 : 450
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
Divide 750 by 5 to find the value of one part of the ratio
750 ÷ 5 = 150 ← value of 1 part of the ratio , then
2 parts = 2 × 150 = 300
3 parts = 3 × 150 = 450
Then 750 in the ratio 2 : 3 = 300 : 450
The required answer is 750 in the ratio 2 : 3 = 300 : 450.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have to divide 750 into the ratio 2:3
The ratio is given in the question
⇒ 2:3
We can see that the sum of the parts of the given ratio as
⇒ 2 + 3 = 5 parts
Divide 750 by 5 to determine the value of one part of the ratio
So the value of 1st part of the ratio
⇒ 750 ÷ 5 = 150
Now, 2nd parts = 2 × 150 = 300
And, 3rd parts = 3 × 150 = 450
So, 750 in the ratio 2 : 3 = 300 : 450
Therefore, the required answer is 750 in the ratio 2 : 3 = 300 : 450.
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Solve n/3+ (-4) = -2. Plz im in an exam
Pls, help me with this question
Answer:
37.5
Step-by-step explanation:
∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts
An inscribed angle is equal to half the measure of its intercepted arc.
If arc AC = 75
Then x = [tex]75\frac{1}{2}[/tex]
75 / 2 = 37.5
Hence, x = 37.5
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answer:
Yes table 1 is
not proportional for table 2
Step-by-step explanation:
6 for table 1
nothing for table 2
HELP FOR BRAINLESS !!!!
Answer:
the blue one
Step-by-step explanation:
Help me plz and show work <3
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles
plsss helppp brainkeistt reward
Answer:
1. D
2. B
3. A
4. B
so i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap
Answer:
.
Step-by-step explanation:
Answer:
What???? (confusion)
I need help with this math problem please!
Find the Mean of the set of data: 4. 2. 6. 8. 5. 5
Answer: 30 / 6
=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
step by step explanation
The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?
Please help!
Answer:
srry its 31 and 10
Step-by-step explanation:
the numbers are 20 and 21
Hope I helped! :)
3x²-7x+4=0
can yall help me
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
True or False: When a preimage rotates 1/4
around an origin, the rotation is a 180 degree
turn.
Answer:
True :)
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
got it right