Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?
Answers
Answer: D
The first: (x+6)(3x3+2x2+2x+5)
The second:
factor x+6
Cannot factor
Step-by-step explanation: hope this help
The quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
What is polynomial?"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."
What is long division?"It is a method for dividing one large degree polynomial number into smaller degree polynomials."
What is quotient?"It is the result of the division of a polynomial by any other polynomial."
For given question,
We have been given polynomials [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex]
We need to find the quotient when [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] is divided by x + 6.
Using long division the division of [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex] is shown below.
Therefore, the quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
Learn more about the long division here:
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Related Questions
Evaluate the expression when y = -2
y2 +5y+7
Answers
Answer:
wala akong pake
Step-by-step explanation:
walaa ako paki
= (-2)2 + 5(-2) + 7
= -4 - 10 + 7
= -14 + 7
= -7
Brian goes to school 6 hours per day, works 4 hours per day , and sleeps for 9 hours per day. What is the ratios of hours brain sleeps
Answers
Answer:
6:4:9
Step-by-step explanation:
Answer:
6:4:9 Yw
Step-by-step explanation:
When do you use point slope form
Answers
Answer:
It can be used as a preference
Answer:
You use point-slope form when you know (or can determine) the slope and the coordinates of one point on the line.
Step-by-step explanation:
You use point-slope form when you know (or can determine) the slope and the coordinates of a point. So, either you are given the slope of the line and a point on the line, or you are given two points on the line and you use the points to determine the slope.
There are 10 girls for every 12 boys. If there are 50 girls,
how many boys are there?
O a) 60
Ob) 12
O c) 52
d) 62
Answers
So we have to do 12 x ❺ = 60
So the answer is a) 60
Answer: A
why does this keep changing to C????
Step-by-step explanation:
10x5 since there are 50 girls
so we would need to multiply 12 by the same number, so the answer is 60.
How many 1/3's or thirds are there between 0 and 1 on the number line
Answers
Answer:
3
Step-by-step explanation:
if you add 1/3+1/3+1/3 itll equal 3/3 or 1
In which set of points is y a function of x? A. {(1, -2), (0, 1), (1, 1), (1, 2)} B.{(1, 2), (0, 1), (1, 2), (1, 1)} C.{(2, 1), (0, 1), (1, 0), (2, 1)} D.{2, 2), (1, 1), (0, 1), (-1, -1)}
Answers
Answer:
D
Step-by-step explanation:
There is no repeated x
The required set of points is y a function of x is C.{(2, 1), (0, 1), (1, 0), (2, 1)}. Option C is correct.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
A function is a set of ordered pairs where each value of x has only one corresponding value of y. In other words, for a function, there can be only one value of y for each value of x.
So, among the sets of points given, set D, A, and C is not a function of x because the value x=1 has two corresponding values of y.
Therefore, the set of points in which y is a function of x is set C.{(2, 1), (0, 1), (1, 0), (2, 1)} because, for each value of x, there is only one corresponding value of y.
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plzz help i need to defeat a boss
Answers
Answer:
4.78 m
Step-by-step explanation:
From cm to m, you would need to divide 100 to get your conversion answer which is 4.78 m.
what is the slope of y=1/2x-1
Answers
Answer:
The slope is 1/2.
Step-by-step explanation:
I hope this helps and I hope u have an Amazing day!
Help me with these 2 questions
Answers
Mixed number: 4 1/4
2. Exact form: 372/35
Mixed number: 10 22/35
Answer:
1. 4¼
2. 10 22/35
Step-by-step explanation:
First, find a common denominator, in this case number 1 would contain a common denominator of 4, and for number 2 it could be 35 (7 x 5 = 35).
Then create an equivalent fraction, 1/2 turned into fourths would be 2/4. 2/4 + 3/4 = 5/4, which equals 1 1/4. Then add 1 1/14 + 1 + 2 = 4¼
For number 2, 3/7 = 15/35 and 1/5 = 7/35. Add them and get 22/35, then add the other numbers. 4 + 6 + 22/35 = 10 22/35
PLEASE HELP! GIVEE ME THE 14 ANSWERS FOR THIS FOR BRAINLIEST
Answers
Answer:
Step-by-step explanation:
oh boy
1) 9 < 16
2) -4 < 5
3) 18 > -19
4) -38 < -16
5) 6 > 4
6) -14 > -25
7) -45 > -55
8) -2 > -10
9) -4, -1, 1, 3, 6
10) -15, -13, -5, 8
11) -9, -6, -5, -1, 0
12) -4, -2, 1, 3
13) -10, -9, 7, 8, 11
14) -33, -25, -14, -4, 7
hope this helps <3
if the 6 in 14,563 was changed to a 9, how much would the value change
Answers
Answer:
It would be 30 more.
Step-by-step explanation:
14,593 - 14,563 = 30
Which problem situation to the equation 72 - 4x = 48
Answers
Step-by-step explanation:
[tex]72 - 4x = 48 \\ 72 = 48 + 4x \ \\ 72 - 48 = 4x \\ 24 = 4x \\ 24 \div 4 = x \\ 6 = x [/tex]
20 points
During a sale, the price of a digital camera is reduced by $63 from the
original price of $180. By what percentage is the price of the camera
reduced? *
35%
65%
117%
30%
Answers
PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answers
Answer: y=4/3x-8
Step-by-step explanation:
Write the equation of the line in slope-intercept form. *
Answers
Answer:
y = 2/3x+2
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
[tex]\displaystyle m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 4)
Point (2, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-2-4}{2-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-6}{2}[/tex][Fraction] Divide: [tex]\displaystyle m=-3[/tex][tex](0,4) \: \: \: \: (1,1)[/tex]
[tex]m = \frac{4- 1}{0- 1} \\ m = \frac{ 3}{ - 1} \\ m = - 3[/tex]
Answer[tex] \large \boxed { - 3 }[/tex]
4/5 of a cup of strawberries for a single pie.How many cups areneeded for 9 pies
Answers
Answer:
7 1/5 cup strawberries
Step-by-step explanation:
put it as a ratio to make it easier
for every 1 pie, you need 4/5 of a cup
if you have 9 pies, you need 9 times 4/5 of a cup of strawberries
9 times 4/5 is 7 1/5
Step-by-step explanation:
4 divided by 5 will give you 0.80 times 9 is 7.2
Can someone please solve ASAP?
Answers
Answer: x = 101
Step-by-step explanation:
Answer:
101
Step-by-step explanation:
A single, fair 6-sided die is tossed. Find the odds in favor of rolling a 4
Answers
Answer:
1/6
Step-by-step explanation:
There is only one side of the die with a number 4, and 6 possible outcomes. Therefore the answer is 1/6
-3(4x-1) + 9x +8x if x = -9
Answers
Answer:
-42
Step-by-step explanation:
A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.
Required:
a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.
b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?
Answers
Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
List these by number 1-10 from least to greatest
Answers
Select the best answer for the question,
15. How many pages does a good résumé have?
Answers
Answer:
Two
Step-by-step explanation:
Most likely answer
expand the expression 8(x-2)
Answers
Answer:
8x - 16
Step-by-step explanation:
8(x−2)
=(8)(x+−2)
=(8)(x)+(8)(−2)
=8x−16
Caitlin's teacher wrote a row of numbers with a pattern: 75, 68, 70, 63, 65, 58, 60,... What is the rule for the pattern
Answers
Step-by-step explanation:
largest to smallest
Answer:
subtracting 7 to first and adding 2 to next
What are the coordinates of point B on AC such that AB is 3/4 of AC
Answers
Answer:
(1.75,0)
Step-by-step explanation:
Which equation can be used to solve for in the following diagram?
sumi
nd cl
3.2°
80°
20°
Choose 1 answer:
nd c
ms
3x + 80 + 2x = 90
: 69
80 – 3.0 - 2.2 = 90
Ze wil
the
3x + 80 + 20 = 180
al, co
men
D
30 + 2.c = 80
o an
Answers
Answer:
Choice C should be the answer
Step-by-step explanation:
Because all of them adds up to 180 since it is a straight angle.
1. the number of enrolled female students to the total number
of students
Answers
Answer:
In fall 2019, female students made up 57 percent of total undergraduate enrollment (9.4 million students), and male students made up 43 percent (7.1 million students). Enrollment patterns for female and male students exhibited similar trends between 2009 and 2019.
Step-by-step explanation:
O 6) Missy walks 1/3 mile to school Select all the fractions that are equivalent to 1/3. 1/6 2/6 4/12 3/6 3/4 This is a required question G
Answers
Answer:
2/6 and 4/12
Step-by-step explanation:
When you reduce both of these fractions, they come out to 1/3.
Dividing both terms of 2/6 by 2, the greatest common factor (GCF), would equal 1/3.
And dividing both terms of 4/12 by 4, which is the GCF in this case, would equal 1/3.
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
Answers
Answer:
120 degrees
Step-by-step explanation:
Find the diagram attached.
From the diagram;
Interior angles are m∠BCA and m∠ABC
Exterior angle is m∠DAB
The sum of interior angle of the triangle is equal to exterior
m∠BCA +m∠ABC =m∠DAB
Given
m∠ABC = 70
m∠BCA =50
m∠DAB = 70 + 50
m∠DAB = 120 degrees
Hence the measure of m∠DAB is 120 degrees
