Answer:
Added thanks lol :)
Step-by-step explanation:
What is quotient of 2x3 + 3x2 + 5x - 4 divided by x2 + x + 1
The quotient is the outcome of the division one number or expression known as the dividend, by another number or expression known as the divisor
The option that gives the correct quotient is;
[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]
Where, the quotient is 2·x + 1, and the reminder is 2·x - 5
The reason the above option is correct is as follows:
The given dividend is 2·x³ + 3·x² + 5·x - 4
The divisor is x² + x + 1
By long division of a polynomial we have;
2·x + 1(Quotient)
(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )
2·x³ + 2·x² + 2·x
0 + x² + 3·x - 4
[tex]{}[/tex] x² + x + 1
[tex]{}[/tex] 0 + 2·x - 5
Therefore, we have;
[tex]\dfrac{2\cdot x^3 + 3 \cdot x^2 + 5 \cdot x - 4}{x^2 + x + 1} = 2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}[/tex]
Therefore, the correct option is;
[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]
Learn more about long division of polynomial here:
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Simplify the following:
( 5n² )( 3n⁴ )
15n⁶
Option D is right answer
Answer:
d. 15n^6
Step-by-step explanation:
i hope this helps :)
what is 654,984 × 548,784,844 × 99,999 ?
Answer:
3.594417e+19
Step-by-step explanation:
HELP MEEEEEEEEE I REALLY DONT KNOW THIS ONE
Answer:
[tex]volume = \pi {r}^{2} h \\ = \pi( {5}^{2} ) \times 6 \\ 150\pi \: cubic \: units[/tex]
Answer:
471
Step-by-step explanation:
Using Pi=3.14
First find the area of the bottom circle:
3.14*([tex]5^{2}[/tex])
=78.5
Then multiply the result by the height
78.5*6=471
therefore,
Volume of clylinder: 471 units squared
Please give me brainliest if corrrect :)
Help I need the answer ASAP
What is the perimeter of a sandbox that measures 5 feet by 6 feet?
Answer:
22 feet
Step-by-step explanation:
6+5+6+5
= 11+11
= 22
LEARNING TASK 3:
Directions: Given that b ∥ c with d as
transversal. Find the value of x in the
following.
1. ∠4 = 5x, ∠5 = 120°
2. ∠1 = 100°, ∠7 = 10x
3. ∠2 = 3x - 10, ∠6= x + 30
4. ∠4 = 3x + 10, ∠6= 2x + 20
5. ∠1 = 7x + 9, ∠5 = 5x + 31
Plssss I need this now
Step-by-step explanation:
1. Angle 5 = 120 degree
Angle 5 = Angle 6 ( alternate exterior angles are equal )
Therfore, Angle 6 = 120 degree
Angle 6 = Angle 4 ( Vertically opposite angles are equal )
Therfore, Angle 4 = 120 degree
Angle 4 = 5x
120 = 5x
120/5 = x
40 = x
Therefore x = 40 degree.
2. Angle 1 = 100 degree
Angle 1 = Angle 7 ( vertically opposite angles are equal )
Therefore, Angle 7 = 100 degree
Angle 7 = 10x
100 = 10x
100/10 = x
10 = x
Therefore x = 10 degree
I want some more time for this question.
what is the value of 40 - 3x when x=2
Answer: 34
40-3*2
40-6
34
Answer:
40-3(2)= 40-6=34
Step-by-step explanation:
Please mark brainliest
3/7 x 2 help need asap
Answer:
3/7 × 2
= 6/7
= 0.857.
Step-by-step explanation:
°•°•°•°•°•°•°•°•°•
Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y = 4x + 5
O y = 4x - 5
O 2y = 8x - 10
O-2y = -8x - 10
The sum of five consecutive integers is 185. What is the mean of these five integers?
35, 36, 37, 38, 39 the mean is 37 the median is also 37
This ones a tuff one (algebra)
13x^2 + 2.8x
Step-by-step explanation:
you combine light terms
The population, P, of Johnstown over a period of t years since the town
was founded can be estimated by P = 5,600e0.0591
In approximately how many years after the town's founding will the
population reach 11,200?
Answer:
12 years
Step-by-step explanation:
Given that
P = 5,600 e^0.0591
Reaching amount = 11,200
time period = t
We need to find out the time period i.e. t
So,
11,200 = 5,600 e^0.0591t
2 = e^0.0591t
Now take the log on both the sides
ln2 = 0.0591t ln
t = ln2 ÷ 0.059
= 0.693147÷ 0.059
= 11.748
= 12 years
explain how you would apply the distributed property to solve the expression 3 (6x+7-4y
Answer:
I would do the math
Question 11 options:
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
Answer:
112
Step-by-step explanation:
The volume is 448 [tex]cm^{3}[/tex]
You are asked to dilate it to a scale factor of 1/4
All you are doing is multiplying: 448/1 × 1/4
Find m I'll give brainiest to the correct answer!
Answer:
S V W and if you rotate it the W would be an M
Step-by-step explanation:
What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?
Answer:
0 units
Step-by-step explanation:
What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?
The formula to solve for the sides of a right angled triangle
= Hypotenuse² = Opposite² + Adjacent ²
Hypotenuse = 25 units
One side = 25 units
To find the other side
√ 25² - 25²
= √625 - 625
= √0
= 0 units
The length of the other leg = 0 units
There are 6 black marbles, 5 green marbles and 9 yellow marbles. What is the probability that a black
marble will selected. Simplify to lowest terms
Answer:
15
Step-by-step explanation:
11) Prove quadrilateral ABCD is a parallelogram A(-2, 8), B(2, 7), C(5, 1), and D(1, 2) *
9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That is, their midpoints are the same point. We don't actually need to calculate the midpoint. Rather, we can calculate the point that has double the coordinate values.
If (A+C) = (B+D), the quadrilateral is a parallelogram.
A +C = B +D
(-2, 8) +(5, 1) = (2, 7) +(1, 2)
(-2+5, 8+1) = (2+1, 7+2)
(3, 9) = (3, 9) . . . . . the figure is a parallelogram
_____
Of course, the midpoint of the diagonals is (3/2, 9/2).
The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
To know more about Interest check:
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I NEED HELPP MY EXAM
*which statement correctly compares the rates of change of the two functions?
Answer:
Exam??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Function A) Rate of change is 6 because it represents 'm' from mx (6x).
Function B) Rate of change is 5 because there is an increase of 5 as it moves to the right.
What two numbers have a product of -40 and a sum of -3?
Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle
Answer:
Not a triangle
Step-by-step explanation:
The sum of the lengths of sides a, b must be greater than the length of the remaining side c.
Answer:
not a triangle
Step-by-step explanation:
11+13<25
How would I graph these on the plot please help :)
Answer:
A for example. The points is "(5,1)". The 5 would be on the x-axis while you put it on the y-axis. The 1 would be put on the y-axis while you put it on the x-axis. So you would go over 5 and up 1, not up 5 and over 1.
Step-by-step explanation:
When graphing a system of equations with one solution, the slopes of the two lines will be
Answer:
independent
Step-by-step explanation:
independent
for the function y=2+5 sin(pi/12(x-2)), what is the maximum value
Answer:
3
Step-by-step explanation:
the maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.
hope this helps
Using 5 miles = 8 km, write 2 m/s in mph.
Give your answer as a decimal.
Answer:
4.5 mph
Step-by-step explanation:
2 m/s = (2 m/s)(60)(60) = 7200 m/h or 7.2 km/hr
if 5 miles = 8 km, then 1 km = 0.625 miles
7.2 x 0.625 = 4.5 mph
Substitute t = 3 and t = 6 to determine if the two expressions are equivalent.
3 (2 t + 5) 6 t + 15
Which statements are true? Select the three correct answers.
A. The value of both expressions when t = 3 is 33.
B. The value of both expressions when t = 3 is 23.
C. The value of both expressions when t = 6 is 41.
D. The value of both expressions when t = 6 is 51.
E. The two expressions are equivalent.
F. The two expressions are not equivalent.
Answer:
A.The value of both expressions when t=3 is 33.
D.The value of both expressions when t=6 is 51.
E.The two expressions are equivalent.
Step-by-step explanation:
We are given two expressions.
3(2t + 5)
6t + 15
Now let's find the value of these two expressions when t =3 and t = 6
When t =3, the value of the expressions:
3(2*3 + 5) = 3(6 + 5) = 3(11) = 33
6*3 + 15 = 18 + 15 = 33
So the value of both the expressions is 33 when t = 33.
When t = 6, the value of the expressions:
3(2*6 + 5) = 3(12 + 5) = 3(17) = 51
6*6 + 15 = 36 + 15 = 51
The value of both the expressions is 51 when t = 51.
So the following statements are true:
A.The value of both expressions when t=3 is 33.
D.The value of both expressions when t=6 is 51.
E.The two expressions are equivalent.
150 people attend a play 45 of them are male write the ratio to males to females in its simplest form
Answer:
9/21
Step-by-step explanation:
45 / 105 = 9/21 (simplified)
Manuel has scored 27,29 and 28 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 28 points per game?
Answer:
28.71 points
Step-by-step explanation:
(27.29 + 28 + x) / 3 = 28
(27.29 + 28 + x) = 84
28 + x = 56.71
x = 28.71
The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
As per the given,
Manuel has scored 27,29 and 28 points in his three basketball games so far.
Suppose his score in the fourth game is x.
Mean = (27 + 29 + 28 + x)/4 = 28
(84 + x)/4 = 28
84 + x = 112
x = 28
Hence "The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28".
For more about the mean,
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