Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
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Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?
Other answer formats are possible.
===========================================================
Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
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Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
---------------------------
Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?
Answer:
A
digit to ghzhzjujzj hazing
Step-by-step explanation:
Joslin uphill to
Gun giddy
how do you write 9/11 as a decimal
Answer:
0.81
Step-by-step explanation:
Answer:
0.81818181818181....
Step-by-step explanation:
It is irrational
The first aircraft has 111 more seats than the second aircraft. The third aircraft has 27 fewer seats than the second aircraft. If their total number of seats is 408, find
the number of seats for each aircraft.
The first aircraft has
seats. (Simplify your answer)
(Answer quickly)
Divide (long division)
(4n^4+4n^3+16n^2)+4^2
9514 1404 393
Answer:
n^2 +n +4
Step-by-step explanation:
Since the divisor has only one term, the quotient is formed by dividing the terms one at a time.
[tex]\dfrac{4n^4+4n^3+16n^2}{4n^2}=\dfrac{4n^4}{4n^2}+\dfrac{4n^3}{4n^2}+\dfrac{16n^2}{4n^2}=\boxed{n^2 +n +4}[/tex]
__
Your long division tableau will subtract n^2×4n^2 = 4n^4 to form the new dividend 4n^3+16n^2. Then you will subtract n×4n^2 = 4n^3 to get the new dividend of 16n^2. The final quotient term is 4, and you will subtract 4×4n^2 to get a remainder of 0. You will have written the quotient as n^2+n+4.
The area of a square is 36. A rectangle whose length is 1 more than twice
its width has the same area. What are the dimensions of the rectangle?
L 70, h89, w56!
hope this helps <3
round 56.3244 to the hundredths place
Answer:
56.32
Step-by-step explanation:
The hundredths place is the second place after the decimal point.
Side note:
All you need to do is if the hundredths is less than 5, you round down. If it's greater than or equal than 5, then you round up.
describe impulse buying
Answer:
impulse bullying.
Step-by-step explanation:
Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.
Which of the following is an even unction?
Answer:
f(x) = |x|
Step-by-step explanation:
because f (–x) = f (x), so all of the signs are the same), then the function is even.
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
C: 1/2(x+5)=36
Answer:
im not sure but ik u do 36x2=72-5=67 so thats how many rocks he had then he found 5 and gave away half leaving 36 bc 72/2=3 how you would write that i am not to sure but hope i helped in getting you closer to the answer.
Step-by-step explanation:
Answer:
C. 4 pounds
Step-by-step explanation:
Deductive reasoning
Deductive reasoning is a basic form of valid reasoning. Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion, according to California State University.
HOPE IT HELPS ✨
What factors of -52 have the sum of -9
Answer:
Step-by-step explanation:
13 and 4 in some combination.
The larger number must be minus.
The answer is - 13 + 4 which leaves you with - 9
Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?
Answer:
5.6 meters/secondsStep-by-step explanation:
140 : 25 = 5.6 meters/seconds
#AyoBelajarIn one state lottery game, you must select four digits. hOW MANY NUMBERS MAY BE CHOSEN
PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.
Step-by-step explanation:
7.3 when rounded to the nearest tenth
I need help getting the equation
Answer:
2.5v + 85
v = 12
Step-by-step explanation:
115 - 85 = 30
30 / 2.5 = 12 (He needs to go 12 times)
josh and karl are 119 miles apart, traveling towards each other. If Victoria travels 12 mph and Alejandra travels 5 mph how long until they meet?
Answer:
v1+v2= 12+5= 17
T= s : (v1+v2)=119: 17= 7
Step-by-step explanation:
Asher pays $156 every 6 weeks for piano lessons. what is the price for per year for piano lesson?
Write the standard form of the equation of the line through the pair of points (6,3) and (-7,7)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Solve 4x − 2(x + 1) = 3x + 10
a)x = −12
b)x = 12
c)x = −8
d)x = 8
Answer:
= −12
Step-by-step explanation:
Answer:a)-12
Step-by-step explanation:
4x-2(x+1)=3x+10
4x-2x-2=3x+10
2x-2=3x+10
Collect like terms
-2-10=3x-2x
-12=x(a)
Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?
Answer:
9180
Step-by-step explanation:
9000*1.02
Answer:
There will be $8820 in Monico's account at the end of the one year period.
Step-by-step explanation:
9000*0.02 = 180
9000 - 180 = 8820
Have a nice day! :-)
Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)
a= 9/11 and b=7/10
now,
ab = (9/11)×(7/10)
=63/110.......
the value of ab is 63/110 when a = 9/11 and b = 7/10
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, the values of a and b are 9/11 and 7/10 respectively
thus,
ab = 9/11 * 7/10
simplifying it
ab = 63/110
Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10
Learn more about Simplification here:
https://brainly.com/question/28996879
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Use the properties of exponents to simplify the expression (16a 12).
O A) 28
B)
640 18
C)
1
24a13
OD) 64218
Answer:
D
Step-by-step explanation:
The solution is in the attached file
Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder
21 divided by 3 equals 7
7 pencils in each holder
:]
Ryan will put 7 pencils in each pencil holder.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n" ways; then the two events in succession can occur in m × n ways.
Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.
Pencil = 21
Pencil holder = 3
Therefore, we will do as 21 divided by 3
21/3 = 7
Hence, there are 7 pencils in each pencil holder.
To learn more about the unitary method, please visit the link below;
https://brainly.com/question/23423168
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plzzzz I need help
Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9
Geometric terms are terms used for describing geometric objects
The correct responses for the geometric term modeled by each object are as follows:
16. The geometric term modelled by the tip of the needle is a point
17. The figure modelled by he rail track are lines including; Parallel lines and intersecting lines
18. The figure modelled by the cloth is a plane with points
19. A table cloth models a plane
20. A partially opened newspaper models an angle, and two planes intersecting
21. Woven threads in a piece of cloth models intersecting lines
22.A knot in a string models a point on a line
Required:
To draw and model a figure for each relationship
Solution:
23. The required drawing of the model of line AB intersecting at Q and W is attached
24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached
25. The required drawing of the model of point Z(4, 2), R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached
26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]
The required drawing is attached
Learn more about geometric terms here:
https://brainly.com/question/7490312
The sum of two-fifths of y and one-sixth of h, minus 2
hi <3
i'm assuming you want the expression written out
it would be:
(2/5y + 1/6h) - 2
hope this helps :)
A number increased by 10 is 32. How would I write that as an equation?
Answer:
4.
Step-by-step explanation:
Remember that “of” means multiplication, so from your question we infer the following equation:
(1/2)x + 10 = 12
First, subtract 10 from both sides:
(1/2)x = 2
Multiply both sides by 2 to eliminate the fraction:
x = 4
Now substitute for x in the original equation to prove this:
(1/2)x + 10 = 12
x = 4
(1/2)4 + 10 = 12
4/2 + 10 = 12
2 + 10 = 12
12 = 12
So the number, x, is 4.
it is an example of your question.
please mark me brainliestThe quantity of a number plus 4, divided by 9
Help Please For Math Class
Answer:
the answer is B D and A.
Step-by-step explanation:
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