The factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].
What are the factors of a polynomial?
Factors are the integers that are multiplied to produce an original number.
Given
The factors of the polynomial are [tex]\rm x^3+11x^2-3x-33[/tex].
The factors of the polynomial are;
[tex]\rm x^3+11x^2-3x-33\\\\x^2(x+11)-3(x+11)[/tex]
Hence, the factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].
To know more about the factors click the link given below.
https://brainly.com/question/1387000
two number are in the ratio 5:8 if if there sum is 130 find the numbers
Answer:
50 and 80
Step-by-step explanation:
two numbers are in ratio 5;8 which is 5x + 8x
sum = 130
5x + 8x = 130
13x = 130 ( divide both sides by 13)
x = 10
to find the two numbers we multiply by x
5x = 5 x 10 = 50
8x = 8 x 10 = 80
Complete the following statement.
20% of $55 = $____
Answer:
$11
Step-by-step explanation:
Let's take 20% and convert it into a decimal, which is .20. Multiply that percentage by $55 (.20 * 55) and you get $11, which is the answer.
The radius of the driving wheel of an engine is 1.75m. How many revolutions will it make in travelling 22 km? (clue: total distance covered - distance covered for 1 revolution = no of revolutions) *distance covered for 1 revolution means circumference of the wheel
Answer:
Given:
The radius of the driving wheel of an engine is 1.75mTo Find:
How many revolutions will it make in traveling 22 km.Solution:
First, we have to find the Circumference of the Wheel:
As, we know:
[tex] \bigstar \:{\boxed{ \rm{Circumference_{(Circle)} = 2 \pi r }}} \: \bigstar[/tex]
where,
pi (π) = 22/7 Radius (r) = 1.75mSo, the Circumference of wheel will be:
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = 2 \times \frac{22}{7} \times 1.75 }}}} [/tex]
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{2 \times 22}{7} \times 1.75}}}}[/tex]
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{44}{7} \times 1.75 }}}}[/tex]
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{44 \times 1.75}{7} }}}}[/tex]
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{77}{7} }}}}[/tex]
[tex]{\large{\rm{\dashrightarrow{Circumference_{(Wheel)} ={ \boxed{ \rm{ \red{11m}}}}}}}}[/tex]
Hence, the circumference of the wheel is 11m.
Now, we have to convert distance covered km into m:
[tex]{\leadsto{\large{\rm{ \: Distance \: Covered = 22km}}}}[/tex]
[tex]{\leadsto{\large{\rm{ \: Distance \: Covered =(22 \times 1000)m }}}}[/tex]
[tex]{\leadsto{\large{\rm{ \: Distance \: Covered = {\boxed{\rm{\red{22000m}}}}}}}}[/tex]
Hence, the distance covered is 22000m.
Now, we have to find the number of revolution:
Given:
Circumference = 11m Distance Covered = 22000mAccording to the question by using the formula, we get:
[tex] \bigstar \: { \boxed{ \large{ \rm{Number \: of \: Revolution \: = \: \frac{Distance \: Covered}{Circumference }}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{Number \: of \: Revolution = \frac{22000}{11} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{Number \: of \: Revolution = { \boxed{\red{2000}}}}}}}[/tex]
Thus, the revolution will it make in traveling 22km is 2000.Please help in answering these. The are five correct choices!
Answer:
True: B, C, D, F, G
False: A, E
Step-by-step explanation:
The false statements are false because we don't know anything about the measures of the sides of the red and blue triangles.
We do know that EF which is vector v is the hypotenuse of a 3-4-5 triangle, And that triangle ABC and triangle A'B'C' are exactly the same shape and size. And that one slid (translation) down at the exact angle and direction of vector v...so all the points, parts, sides, pieces of the triangle slid down in the same angle and direction.
solve the inequallity for x
-3x + 6 > 48
Answer: x<-21
Step-by-step explanation: I worked on the problem and checked online. Your good! Hope this helps! ^w^
What is the slope of the line that passes through the points(1,−6) and(−2,−8)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}}\implies \cfrac{-8+6}{-3}\implies \cfrac{-2}{-3}\cfrac{2}{3}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{1})\implies y+6=\cfrac{2}{3}x-\cfrac{2}{3}[/tex]
hmmm now let's put that in standard form, that is
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+6)~~ = ~~3\left( \cfrac{2}{3}x-\cfrac{2}{3} \right)}\implies 3y+18~~ = ~~2x-2 \\\\\\ 3y=2x-20\implies -2x+3y=-20\implies 2x-3y=20[/tex]
6. Write the standard form of the line: y=2/5x-7
The standard form for a linear equation is: ax + by + c = 0
Once we move all the variables and constants to one side, we get the standard form for a linear equation
[tex]y = \frac{2}{5} x - 7\\y -\frac{2}{5}x = -7\\ y - \frac{2}{5}x + 7 = 0\\[/tex]
Hope that helps!
Which statement best describes the association between variable X and variable Y?
moderate positive association
perfect positive association
moderate negative association
perfect negative association
The statement that best describes the association between variable X and Y is perfect positive association.
What is a perfect positive association?
This is a term that is used in statistics to refer to the fact that a 100 percent of the time, the variables X and Y are moving together in the same direction and in the same exact direction.
From the image here, the Variables X and Y have a straight line relationship showing that they are moving together.
Read more on variables here: https://brainly.com/question/23931018
A perfectly positive correlation means that 100% of the time, the variables in question move together by the exact same percentage and direction
What is the x-intercept? 2x + 3y = 12
0 (0,6)
O (6.0)
0 (0.4)
O (4,0)
HEY, CAN SOMEONE PLEASE HELP WITH THIS QUESTION???
Answer:
five thousand one hundred and seventy nine
I need help with my imagine math
Answer:
The answer is
Step-by-step explanation:
Similar : 2yd - 8yd, 6yd - 18yd
Not similar - Shape : 18yd - 6yd
Not similar - Ratio : 6yd - 3yd, 9yd - 18yd, 3yd - 1yd
You can help me with any one of these equations I would really appreciate it but also please provide step-by-step explanation thank you I will choose Brainly
[tex][Hello,BrainlyUser][/tex]
Answer:
[5] [tex]2x^2+xy+-3y^2[/tex]
[6] [tex]2x^3+-7x^2+-3x[/tex]
[7] [tex]4a+2b[/tex]
[8] [tex]6x+2y-5[/tex]
[9] [tex]x^2-3xy-10y+75[/tex]
Step-by-step explanation:
Let's start with [5]
[tex]3x^2-2xy-2x^2-(x^2-3xy+y^2)[/tex]
Distribute the Negative Sign:
[tex]=3x^2-2xy-2y^2-1(x^2-3xy+y^2)[/tex]
[tex]=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2[/tex]
[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]
Combine like term
[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]
[tex]=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)[/tex]
[tex]=2x^2+xy+-3y^2[/tex]
Answer = [tex]2x^2+xy+-3y^2[/tex]
-------------------------------------------------------------------------------------------------------------
[6] [tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]
Combine like terms
[tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]
[tex]=(2x^2)+(-5x^2+-2x^2)+(-3x)[/tex]
[tex]=2x^3+-7x^2+-3x[/tex]
Answer = [tex]2x^3+-7x^2+-3x[/tex]
------------------------------------------------------------------------------------------------------------- [7] [tex]4a-(3a-2b)+3a[/tex]
[tex]=4a+-3a+2b+3a[/tex]
Combine like terms:
[tex]=(4a+-3a+3a)+(2b)[/tex]
[tex]=4a+2b[/tex]
Answer = [tex]4a+2b[/tex]
-------------------------------------------------------------------------------------------------------------
[8] [tex]\left[3x-\left[x-4x+2y\right)+4y\right]-5[/tex]
[tex]3x-(-3x-2y+4y)-5[/tex]
[tex]=3x-(-3x+2y)-5[/tex]
[tex]=3x+3x-2y-5[/tex]
[tex]=6x-2y-5[/tex]
Answer = [tex]6x-2y-5[/tex]
-------------------------------------------------------------------------------------------------------------
[9] [tex]x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}[/tex]
Combine likes terms
[tex]x^2-3xy-10y+75[/tex]
Answer = [tex]x^2-3xy-10y+75[/tex]
[CloudBreeze]
a video game sells for 79.99 it is marked down 30% what is the sale price on the video game
Please help! 20 points thanks :)
Answer:
[tex]\frac{3}{2}[/tex]
*View attached graph*
Step-by-step explanation:
Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1} =\frac{7-(-5)}{6-(-2)} =\frac{12}{8}=\frac{3}{2}[/tex]
y[tex]y=\frac{3}{2}x-2[/tex]
Hope this helps!
what is the domain and range?
f(x) = 2x^3 – 2
hope this answer helps
Can u mark this as brainliest
2. Evaluate the given function by using synthetic division:
f(x)= 24 + 3x3 + x2 + 2x – 3 at x = -2.
Answer:
53
Step-by-step explanation:
f(x)= 3x^3+x^2+2x-21
X=-2
2 3 1 2. 21
bring the 3 down
2x3=6
6+1=7
7x2=14
14+2=16
16x2=32
32+21=53
Therefore, you have a remainder of 53
write a pythogorean triplet whose smallest number is 20?
Answer:
20,21,29 or 20, 99 and 101.
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]20^{2} +21^{2} =29^{2}[/tex]
[tex]400+441=841[/tex]
OR:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]20^{2} + 99^{2} = 101^{2}[/tex]
[tex]400+9801=10201[/tex]
Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book? StartFraction 1 Over 289 EndFraction StartFraction 10 Over 289 EndFraction StartFraction 5 Over 136 EndFraction One-tenth.
The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.
We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.
What are combination and probability?The combination is the number of ways of selecting things.
Probability is to quantify the possibilities.
Number of ways in which a reference book can be picked = ²C₁
Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17
Now, the total number of books left on the bookshelf is 16
The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16
Total probability =multiplication of both the possibilities
Total probability =(2/17)×(5/16) = 5/136
Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136
To get more about probability refer to the link,
https://brainly.com/question/25870256
Answer:
C. 5/156
Step-by-step explanation:
Edge 2023
5 pumps are required to fill a tank in 90 minutes .how many pumps of the same type are used to fill the tank in 30 minutes
Answer: 15 pumps
More the number of pumps lesser is the time taken to fill the tank
Number of pumps ∝ 1/Time
n = k / t
[where k = constant]
In 1st case
5 = k / (1.5)
k = 7.5
In second case
n = k / t
= 7.5 / 0.5
= 15
∴ 15 pumps are used to fill the empty tank in half an hour.
Which of these is a proportional relationship?
A
Justin charges $1 for 1 cup of lemonade, $3 for 2 cups of lemonade and $4 for 3 cups of lemonade.
B
Jared charges $1 for 1 cup of lemonade, $2 for 2 cups of lemonade and $3.50 for 3 cups of lemonade.
C
Jasmyne charges $1 for 2 cups of lemonade, $2 for 4 cups of lemonade and $3 for 6 cups of lemonade.
D
Jessica charges $1 for 1 cup of lemonade and $2 for anyone who wants 2, 3 or 4 cups of lemonade.
BACK
(C) jasmyne is the one with the proportinal relationship
What is the slope of the line?
-3x+5y=2x+3y
Choose 1 answer:
(Choice A)
A
-5/2
(Choice B)
1
(Choice C)
5/2
(Choice D)
-1
Answer:
☘ QUESTION☘What is the slope of the line?
-3x+5y=2x+3y
☘ ANSWER☘-3x+5y=2x+3y → 2y = 5x → y = (5/2)x.
There are infinitely many ordered pairs that satisfy -3x+5y=2x+3y.
Answer: C.5/2Step-by-step explanation:
✨ BRAINLY FAST ✨
✨BY#NICHOLE✨
The coffee shop is offering every 5th drink for 40% off. If my 9 friends and I each order a coffee that cost $4. 00 and we pay together, what will our total be?
How to solve (4x^2 + 20x + 6)/ (2x+8)
Answer:
2x2+10x+3/x+4
Step-by-step explanation:
4x2+20x+6 / 2x+8 = 4x2+20x+6/2x+8
If the volume of a cube is 1331cm3 what is the lengh of it's side?
Pls help! I'm Stuck.
Answer:
11 cm
formulae:
volume of cube: a³ [ where a is side length ]
solve:
side³ = volume
a³ = 1331
a = ³√1331
a = 11
Answer:
11 cm
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the side length )
given V = 1331 cm³ , then
s³ = 1331 ( take cube root of both sides )
s = [tex]\sqrt[3]{1331}[/tex] = 11
A rectangle has a area of 50 cm squared if each sides lenght is doubled what is the new area.
Answer:
200 cm^2
Step-by-step explanation:
1. the side lengths are 10 and 5
2. double
3. 20*10 = 200
Please help meeeeeeereerreee
Answer:
c
Step-by-step explanation:
Answer:
Checking account
Step-by-step explanation:
pls give me brainlest <3
The population of bats in a large cave is 4800 and is growing exponentially at 16%
per year. Write a function to represent the population of bats after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.
Answer:
f(t)=4800(1.0378)^4t
3.78%
Step-by-step explanation:
f(t)=
f(t)=a(1+r)^t
f(t)=4800(1+0.16)^t
f(t)=4800(1.16)^t
Paul wants to play quarterback, but that decision depends on who coaches for a given game. Coach Smith is coach 60 percent of the time, and Coach Brown is coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?
Answer:
56/100
Sorry, I looked this up so someone else might need to show you the work.
But I got the answer
What is the rule of (2,5) (3,6) (4,7) (5,?)
Answer:
5,8
Step-by-step explanation:
Because each number goes up by one and has a pattern
Use prime factors to determine the HFC of 90 and 126
Answer:
Step-by-step explanation:
Comment
The question means that you are to break both numbers down in to prime factors. When you do, what do the numbers have in common
90: 2 * 3 * 3 * 5
126: 2 * 3 * 3 * 7
The bolded numbers are the primes in common
Primes in common (answer): 2 * 3 * 3 = 18
