Divide x5+15x4+54x3−25x2−75x−34 by x+8
Answers
Step-by-step explanation:
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x+8x5+15x4+54x3-25x2-75x-34
Divide the highest order term in the dividend x5 by the highest order term in divisor x.
x4x+8x5+15x4+54x3-25x2-75x-34
Multiply the new quotient term by the divisor.
x4x+8x5+15x4+54x3-25x2-75x-34+x5+8x4
The expression needs to be subtracted from the dividend, so change all the signs in x5+8x4
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4
Pull the next terms from the original dividend down into the current dividend.
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4+54x3
Divide the highest order term in the dividend 7x4 by the highest order term in divisor x.
On dividing, x⁵+15x⁴+54x³−25x²−75x−34 by x+8, Quotient is x⁴+7x³−2x²−9x−3 and Remainder is -10.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Dividend is x⁵+15x⁴+54x³−25x²−75x−34
Divisor is x+8
After division, the solution is attached in the image.
Quotient is ( x⁴+7x³−2x²−9x−3)
Remainder is -10
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Related Questions
There are 12 boxes of books to put on shelves. Each box has 31 books.Each shelve holds 18 books. Kevin estimates he will need 20 shelves for all the books
Answers
Answer: False. 21 Shelves.
Step-by-step explanation:
First, 12 x 31= 372
This indicates that there are 372 books.
Then, 372 ÷ 18= 20.6666666667
Since we have a decimal that is above 4 we round up.
This leaves 21 shelves needed for all the books o fit on a shelf.
Please help me will give points
Answers
Answer:
[tex]6 + 6 < > 7[/tex]
yk maths pooo
Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
32 to 40.
Answers
Answer:
Step-by-step explanation:
bro i dont know sory
Answer:
The number increased by 25%.
Step-by-step explanation:
If you divide 32 into 40 (40 / 32), it will get you 1.25.
Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.
0.25 is a 25% increase
Priya bought these items at the grocery store. Find each unit price.
4 rolls of toilet paper for $2. How much is the cost per roll?
Answers
Answer:
1 roll of toilet paper would cost $50
Step-by-step explanation:
Solving inequalities
3n + 8 < 5
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable. Inequality Form:
n < -1
-7/8 divided by 9/8
opl;bgklkgmhglkhnjknjkgnh kjhngkhjngkjhn
Answers
Answer:
77/8
Step-by-step explanation:
help please !!!!!!!!!!!!!
Answers
Answer: + or - 8
Step-by-step explanation:
A. x^2 could be represented by the area of a square. Length and width are the same, so the area would be x^2. The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.
B. x^2 = 64
What number times itself equals 64? = 8
This could be either positive or negative, since (-8)^2 is also equal to 64.
The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?
Answers
Answer:
ok
Step-by-step explanation:
try and check the denominator and cross check with the first expense made
Las propiedades de las multiplicaciones nos llevaran a igualar distint
algebraicas para determinar su equivalentia,
1. En la figura 2.1 se muestran dos formas de descomponer el drea de
cuyos lados miden 35 u y 22 u. Completalos con las medidas que fa
a) Cual es el area total de los rectangular?
b) Calcula el area de las secciones que componentcada rectangula
c) Que relacion hay entre el area total de cada rectangular y las areas
nes que los component
35 u X 20 u
30 u x 20 u
Answers
Answer:
i think it would be c
Step-by-step explanation:
y=-2
4x-3y=18
solve by substitution
Answers
Answer: x= 3
Step-by-step explanation:
put a factor back into the square root.
[tex]3 \sqrt{2a}[/tex]
Answers
Answer:
sqrt(18a)
Step-by-step explanation:
3^2=9
2*9=18
sqrt(18a)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3√(2a)
A factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
3² = 9
Thus,
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
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Please help with this math problem!! Its due tonight!! :)
Answers
Answer:
Step-by-step explanation:
Solve.
315−14x=−45
Enter your answer in the box.
x =
plzzzzz helpp me
Answers
Answer:
180/7
Step-by-step explanation:
Question
Select the factored form of the expressions 3x2−11x−4
A (3x−4)(x+1)
B (3x−2)(x+2)
C (3x+1)(x−4)
D (3x−1)(x+4)
Answers
Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.
Answers
Dante is incorrect because point P is not the circumcenter of the triangle.
What is the circumcenter of a triangle?The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.
How to identify a circumcenter?There are some simple characteristics to determine if a circumcenter is correct.
All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.
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The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7
Answers
Answer:
D) 13.7
Step-by-step explanation:
Paying 13 mortgage payments instead of 12 per year can save to you thousands in interest cost. If you had a $175,000 mortgage at 6% for 30 years, how much extra would you have to pay per year to make 13 instead of a 12 mortgage mortgage payments per year? How much would you pay if you paid 1/12 of it per month?
Answers
You would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
To calculate the additional amount you would have to pay per year to make 13 mortgage payments instead of 12, we need to determine the monthly mortgage payment first.
Using the formula for a fixed-rate mortgage:
[tex]M = \dfrac{P(r(1 + r)^n)} { ((1 + r)^n - 1)}[/tex]
M = P(r(1 + r)^n) / ((1 + r)^n - 1)
Here:
M = Monthly mortgage payment
P = Principal amount (mortgage amount)
r = Monthly interest rate (annual interest rate / 12)
n = Total number of payments (number of years × 12)
Let's calculate the monthly mortgage payment first:
P = $175,000
r = 6% / 12 = 0.005
n = 30 × 12 = 360
[tex]M = 175,000 \times\dfrac{ (0.005(1 + 0.005)^{360})}{ ((1 + 0.005)^{360} - 1)}[/tex]
M = $1,049.91
With a monthly mortgage payment of $1,049.91, we can calculate the additional amount you would need to pay per year to make 13 payments instead of 12.
Additional payment per year = Monthly payment × 12 - Monthly payment
Additional payment per year = $1,049.91 × 12 - $1,049.91
Additional payment per year = $12,599.92 - $1,049.91
Additional payment per year = $11,550.01
Therefore, you would need to pay $11,550.01 extra per year to make 13 mortgage payments instead of 12.
Now, let's calculate the amount you would pay if you made equal monthly payments throughout the year (1/12 of the mortgage amount per month).
Amount paid per month = Mortgage amount / 12
Amount paid per month = $175,000 / 12
Amount paid per month ≈ $14,583.33
Thus, you would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.
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plz help due soon
Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?
Answers
Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
Answer:
42.50
Step-by-step explanation:
40X1.06
42.40
A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?
Answers
Answer:
196 children
Step-by-step explanation: 6(140)+3(196)= 1428 (196-140=56)
ANSWER ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
there are 30% CDs that are other types of music
A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s
Answers
Answer: 256.
Step-by-step explanation:
✨maThS✨
The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.
Answers
The perimeter of the hexagon is the sum of its side lengths
The perimeter of the hexagon is 48.5 ft
The given parameters are:
[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon
[tex]\mathbf{a = 7}[/tex] -- the apothem
Let the perimeter of the hexagon be p.
So, the area is calculated as:
[tex]\mathbf{Area = \frac 12 pa}[/tex]
Substitute values for Area and (a)
[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]
Multiply both sides by 2
[tex]\mathbf{339.48= p \times 7}[/tex]
Divide both sides by 7
[tex]\mathbf{48.5= p }[/tex]
Rewrite as:
[tex]\mathbf{p = 48.5}[/tex]
Hence, the perimeter of the hexagon is 48.5 ft
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please help and show work
Answers
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
BRAINLIEST
can you help me out :)
Answers
Answer:
DC = 30.47 units
KL = 5.34 units
Step-by-step explanation:
Cos 54 * 20 = AD
Sin 54 = BD/20
Sin 54*20 = BD
BD = 0.809*20 = 16.2
Tang 28 = BD/DC
DC = BD/tang 28
DC = 16.2/0.5317
Tan 51 = JL/14
JL = 1.2349 * 14 = 17.29 units
Cos 72 = KL/JL
Cos 72 * 17.29 = KL
cos 72 = 0.309
KL = 0.309 * 17.29 = 5.34 units
12.
The cost to hire an electrician is $50 plus $65 per hour. How many hours
did the electrician work if his bill was $505?
Answers
Answer:
7 hours
Step-by-step explanation:
First subtract 50 from 505 (505 - 50) which equals 455. Next divide 455 by 65 (455/65) which is 7. Therefore the answer is 7.
If his bill is $505, he worked for 7 hours.
100 points if u get this right ty have a nice day !
Answers
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
Select the correct answer.
Answers
Answer:
C
Step-by-step explanation:
ΔFDC and ΔFBA are similar AA Similarity
A man Buy television set at a price exclusive of sales tax for $2124 if sales tax of 12% is changed how much money does the man pay
Answers
Answer:
2378.88
Step-by-step explanation:
12/100 x 2124
=254.88
2124+254.88=answer
does anyone know the answer?
Answers
therefore 68+120 is 188cm^2
pls make me brainliest
what is the answer to 11/12-7/9=
Answers
0.13888888888 is tour answer