Divide using synthetic division (x^2 +9)÷(x-3) =
Answers
Answer: x+3+ 18/x-3
Step-by-step explanation:
The complete division problem can be written as:
(x² + 9) / (x-3) = x + 3 + 18/(x-3)
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To divide using synthetic division, we follow these steps:
Write the dividend (x² +9) and the divisor (x-3) in the form of a long division problem, with the divisor (x-3) written on the outside and the dividend (x² +9) written inside the division brackets.
Write the coefficient of the first term of the dividend (in this case, 1) in the first row of the synthetic division. This will be the first term of the quotient.
Multiply the divisor (x-3) by the coefficient in the first row (1), and write the result (x-3) in the second row.
Add the second term of the dividend (9) to the result in the second row. The result is the coefficient of the second term of the quotient.
Repeat this process until you have found the coefficients of all the terms in the quotient.
Using this process, we can divide (x² +9) by (x-3) as follows:
The quotient is x + 3. The remainder is 18, so the complete division problem can be written as:
(x² + 9) / (x-3) = x + 3 + 18/(x-3)
To learn more about the division operation click here :
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Related Questions
A survey is given to students about the servings of fruits and vegetables that each student typically eats in a day. The results are given in the table. The students in the survey represent a population of 200. Which option best describes the population?
A. About 80 students eat at least 4 servings of fruits and vegetables daily.
B. About 96 students eat 2 or 3 servings of fruits and vegetables daily.
C. About 50 students eat 1 serving or less of fruits and vegetables daily.
D. About 125 students eat less than 4 servings of fruits and vegetables
daily.
Answers
Jeff has a booklet of 30 stickers. He uses one page of stickers. If there are 6 stickers on each page, how many pages are left?
Answers
Answer:
He has 4 pages left.
Step-by-step explanation:
30 stickers divided by 6 stickers per page = 5 pages of stickers
5 pages - 1 page = 4 pages
Answer:
isn't it 24 left
Step-by-step explanation:
correct answer gets brainliest +25 points
Answers
Answer:
The awner is C
Step-by-step explanation:
Have a great day!
Answer:
2) Net A with 480 square inches
If I'm wrong just delete my answer.
2. Which point is a solution to the
system of inequalities?
10
-10
10
A. (2,0)
B. (0,4)
C. (-2,-2)
D. (0, -4)
Answers
Answer:
C.
Step-by-step explanation:
Check where the points are, the solution will be in the shaded area
PLEASE HELP!!! ILL GIVE BRAINLIEST! 15 POINTS!
Answers
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a blue or a yellow crayon. Write your answer as a fraction in simplest form.
Answers
Answer: 13/22
Step-by-step explanation:
Number of red crayons = 9
Number of blue crayons = 5
Number of yellow crayons = 8
Total number of crayons = 9+5+8 = 22
The probability of selecting either ia blue or a yellow crayon will be:
= 5/22 + 8/22
= 13/22
is 1/6 terminating a or repeating decimal ?
(show work pls)
Answers
Answer:
repeating decimal
Step-by-step explanation:
1/6=0.166666666 and it keeps on going
PLEASE HELP
Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent.
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 8x + 4 = 28
C. 4x + 8 = 28
D. 8x - 4 = 28
E. 4(x+8) = 28
Answers
Answer:
Step-by-step explanation:
Eight more means add 8
Four times an unknown number is 4x
‘Is’ 28 means equal to 28
4x+8=28
Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures
Answers
Answer:
1 piece of equal length = 2 3/4 yards of cloth
Step-by-step explanation:
Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures
8 pieces of equal length = 22 yards of cloth
1 piece of equal length = x yards
Cross Multiply
8 pieces × x yards = 22 yards × 1 piece
x yards = 22 yards/8
x yards = 11/4
x yards = 2 3/4 yards
Therefore, 1 piece of equal length = 2 3/4 yards of cloth
help!! what do i puttt WILL GIVE BRAINLIEST
Answers
Answer:
(-9,0)
Step-by-step explanation:
Answer:
(-9, 0)
Step-by-step explanation:
Please help I will give brainiest to the right answer!!!!!!!! Please Help!!! ASAP!!!!
Answers
Answer:
Yes
Step-by-step explanation:
y = 12(x)+28
(-1,16)
y = 12(-1)+28 = 16
(5,88)
y = 12(5)+28 = 88
Answer:
We conclude that the function [tex]f(x) = 12x + 28[/tex] works.
The graph of the function y = 12x + 28 is also attached below.
Step-by-step explanation:
Given that the line passes through the points
(-1, 16)(5, 88)Let us determine the slope between (-1, 16) and (5, 88) using the slope formula
[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case:
(x₁, y₁) = (-1, 16)(x₂, y₂) = (5, 88)so subtituting (x₁, y₁) = (-1, 16) and (x₂, y₂) = (5, 88) in the slope formula
[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{88-16}{5-\left(-1\right)}[/tex]
Refine
[tex]m=12[/tex]
Thus, the slope of the line is: m = 12
Important Tip:
The slope-intercept form of the line equation is
[tex]y = mx + b[/tex]
where m is the slope and b is the y-intercept
now substituting m = 12 and the point (-1, 16) in the slope-intercept form of the line equation
[tex]y = mx + b[/tex]
[tex]16 = 12(-1) + b[/tex]
switch the equation
[tex]12(-1) + b = 16[/tex]
[tex]-12 + b = 16[/tex]
Add 12 to both sides
[tex]-12+b+12=16+12[/tex]
Simplify
[tex]b=28[/tex]
Thus, the y-intercept of the line is: b = 28
now substituting m = 12 and b = 28 in the slope-intercept form of the line equation
[tex]y = mx + b[/tex]
[tex]y = 12x + 28[/tex]
Thus the equation of the line is:
[tex]y = 12x + 28[/tex]
or
[tex]f(x) = 12x + 28[/tex] ∵ [tex]y = f(x)[/tex]
Hence, we conclude that the function [tex]f(x) = 12x + 28[/tex] works.
The graph of the function y = 12x + 28 is also attached below.
The product of two consecutive numbers is ninety. what are the numbers
Answers
Answer:
9 and 10
Step-by-step explanation:
What are the horizontal and vertical asymptotes of the graph of y
2 + 3
24 - 81
?
O A. y = 0; x = 3
B. y = 0; x = -3 and x = 3
O C. y = 1; x = 9
o D. y = 1; x = -9
Answers
Answer:
C
Step-by-step explanation:
Hope this helped! Please let me know if I'm wrong!
An item has a listed price of $80. If the sales tax rate is 4%, how much is the sales tax (in dollars)?
Answers
I think its $ 3.20 for the 4 percent of 80$
Write the slope-intercept equation of the line on this graph.
Answers
Answer:
y = -2x
Step-by-step explanation:
What is the geometric mean between 3 and 10
Answers
Answer:
So for the geometric mean, you would multiply the two numbers and put them under a radical
Step-by-step explanation:
3 times 10= 30
=[tex]\sqrt{30}[/tex]
The solution is : the geometric mean between 3 and 10 is √30.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
here, we have,
Given: two numbers 3 and 10
we have,
To Find: Geometric number of numbers in 3 and 10
Solution:
Let first number be a
Let second number be b
Geometric mean of two numbers a and b is √ab
Now,
First number is 3
Second number is 10
Geometric mean of both numbers is :
√3×10
=√30
Geometric mean is √30.
Hence, The solution is : the geometric mean between 3 and 10 is √30.
Learn more about geometric mean from the given link
brainly.com/question/28562725
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Please help ! will give brainly if right! :)
Answers
Answer:
takes 15 hours k12
Step-by-step explanation:
Answer:
All answers below :)
Step-by-step explanation:
Hi there!
I don’t know how to properly answer step 1, but it looks like you already have the formula written down.
For step 2, divide 120 by 3 to find how many backpacks made in one hour, or 40 backpacks per hour.
600 backpacks = 40 backpacks/1 hour * t
Step 3: This may look complicated, but i promise it is not. All we have to do here is divide 600 by 40, or 15.
t = 15, or it will take 15 hours to make 600 backpacks.
I hope this helps!
help help its pre pre agelbra
A strand of straight hair would be most accurately classified as a ______________.
a.ray
b. line
c.line segment
d. none of the above
Answers
If we wanted to measure a third variable in a scatter plot, how could we do this?
Answers
Answer:
Connected scatter plot. If the third variable we want to add to a scatter plot indicates timestamps, then one chart type we could choose is the connected scatter plot. Rather than modify the form of the points to indicate date, we use line segments to connect observations in order.
Step-by-step explanation:
Brandon made a marble cake he gave equal portions of 1/2 of the cake to 6 friends what diagram could Brendan use to find the fraction of the whole marble cake that each friend gets
Answers
Answer:
Step-by-step explanation:
2/5 (s + 20) help please
Answers
Answer:
2/5s+8
Step-by-step explanation:
2/5(s+20)
=(2/5)(s+20)
=(2/5)(s)+(2/5)(20)
=2/5s+8
Tristan has a 12 ounce coffee. He drinks 2 ounces. Select the percentage of ounces Tristan has left of his coffee.
Answers
Answer:
approximately 83%
Step-by-step explanation:
Answer:
83%
So basically you take 12-2=10 and then do 10/12 and that = 0.83 and so 83% is the answer
10 of the students in a Algebra class passed a Algebra test. If these students are 40% of all the students in the class, how many students are in this Algebra class? Round your answer to the nearest whole number if necessary. HELP MEEEEEE
Answers
Answer:
25 students
Step-by-step explanation:
Multiply 0.4 by 10, which is doing the opposite of taking a percentage of a number.
Someone can help me !!!!
Answers
Answer: the second to last answer
Step-by-step explanation:
Which scatterplot shows a positive liner association
Answers
Answer:
D.
Step-by-step explanation:
The points are pointing up in a positive direction so it would be postive.
Factor the polynomial below.
25x2-4
Answers
Answer:
46
Step-by-step explanation:
25+2 is 50-4=46
For the product (8x-6)(2x + 5). does anyone know how I would get the answer for A and B?
Answers
Answer:
A=16x^2
B=-12x
Step-by-step explanation:
I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!
the answers are
10
12
13
14
please help
Answers
Answer: 12
Step-by-step explanation:
Answer: 10!
Step-by-step explanation:
The coordinates of the endpoints of MP are
M(-3,-2) and P (2, 3).
Which measurement is the closest to the length of MP in units
A: 7.1 units
B:5 units
C:4.5units
D:10units
Answers
Answer: A
Step-by-step explanation:
I don’t know how to explain this, but I’m pretty sure it’s A
I know that this is simple algebra but I am asking for your help step by please will mark brainliest for who gets this right.
Answers
Answer: Y= -9 + 3x/2
Step-by-step explanation: Down below Have a brilliant day-Lily ^_^