The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.
What is the solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division?The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:
(r⁴ - 3r³ + 6r - 18) / (r - 3)
The divisor is +3
The coefficients are:
1 -3 6 -18
Using synthetic division
the first coefficient is 1
the second coefficient = 1 * 3 + -3
the second coefficient = 0
the third coefficient = 0 * 3 + 6
the third coefficient = 6
the fourth coefficient = 6 * 3 + (-18)
the fourth coefficient = 0
Therefore, the solution = 1(r⁴/r) + 0(r³/r) + 6(r/r) + 0
the solution = r³ + 6
Learn more about synthetic division at: https://brainly.com/question/18788426
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An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
Answer:
720 MPH
Step-by-step explanation:
2700 miles / 3.75 hours = 720 MPH
Answer:
720 Mph
Step-by-step explanation:
2700/3.75
don't put this answer in yet. Wait to see if someone has the same answer as mines.
Tom had 114 dollars to spend on 9 books. After buying them he had 15 dollars. How much did each book cost?
Answer:
11
Step-by-step explanation:
114-15=99
99÷9=11
I need help on this one math problem
Answer:
B
I hope this helps.....
................... 8x-0.2=9.8
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = 1.25
Step-by-step explanation:
8x - 0.2 =
8(1.25) - 0.2 =
10 - 0.2 = 9.8
hope this helped!
Which ordered pair is in the solution set of the inequality shown?
Answer:
number 2: (-6, 0)
any help would be cool
Step-by-step explanation:
the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .
hint : volume : h×l×w ( height times length times width)
so the cubiod is 12 times 29 times 12 =
you work out the answer for that .
the triangular prism you try working out the volume.
I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice
Answer:
its the first one
Step-by-step explanation:
- 2 + 0.8) ÷ (- 1.3) =
[tex] ( - 2 + 0.8) \div ( 1}^{2} - 1.3[/tex]
28.3m by 21.5m, what is the area
What is the prime factorization of 91?
Answer:
The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.
Step-by-step explanation:
The student council was preparing for the wellness sale. The members divided each type of the donated items equally onto plates. Each plate contained only 1 type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each plate? Wellness Sale Donations Celery 63 Cucumbers 14 Carrots 35 The greatest number of items that each plate could have is nothing items. (Type a whole number.)
Answer:
The greatest number of items on each plate is 7
Step-by-step explanation:
Given
[tex]Celery = 63[/tex]
[tex]Cucumber = 14[/tex]
[tex]Carrot = 35[/tex]
Required
Determine the greatest number of items on each plate
To do this, we simply calculate the GCF of 63, 14 and 35
[tex]63 =3 * 3 * 7[/tex]
[tex]14 = 2 * 7[/tex]
[tex]35 = 5* 7[/tex]
The GCF is:
[tex]GCF = 7[/tex]
Hence:
The greatest number of items on each plate is 7
What number should be added to both sides of the equation to complete the square?
x^2-10x=12
Answer:
Step-by-step explanation:
x²-10x = 12
Coefficient of the x term: -10
Divide in half: -5
Square it: (-5)² = 5²
Add 5² to both sides:
x²-10x+5² = 12+5²
(x-5)² = 37
Find the solution of y = 5x – 4 for x = –6.
(26, –6)
(-6, -[tex]\frac{2}{5}[/tex])
(–6, –50)
(–6, –34)
Five more than 3/4 of a number C is 26 find the number
Answer:
28
Step-by-step explanation:
let x be the number,
(3/4)x+5=26
(3/4)x=21
x=21*(4/3)
x=28
what is 4876398 -742 x 2+4769-1
Answer: 4,879,682
Step-by-step explanation:
Answer:
4,879,682
Step-by-step explanation:
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?
units
sin(D) =
Answer:
5 and 5/13
Step-by-step explanation:
What is the length of the side opposite ∠D?
✔ 5
units
sin(D) =
✔ 5/13
What is an equation of the line that passes through the points (2, -2) and (8,4)?
Please I’ll give you BRAINLEST
Answer:
y=x-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(4-(-2))/(8-2)=(4+2)/6=6/6=1
slope is 1
y-y1=m(x-x1) where m=slope
y-(-2)=1(x-2)
y+2=x-2
y=x-2-2
y=x-4
Is 2j + 2 equivalent to 2j +1 ?
uwo2i2ii2ii2i282i22ii339289191.
46o
Steven sold his old car and deposited the $3500 in a savings account at 3.5 percent interest for 2.5 years.
What was the total amount of money in the account at the end of this time?
Answer:
3500.035
I'm not sure
.
Step-by-step explanation:
.
Answer: It’s $3,806.25
Step-by-step explanation:
No explanation, I did the quiz and the other person who answered gave an answer that wasn’t in the multiple answers so I guessed and got it correct.
if a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
30
Step-by-step explanation:
PLS HELP WITH THIS MATH
how do you simplify 1 1/8 x 3 2/3 someone please help me!
Answer:
4 1/8
Step-by-step explanation:
1 1/8 x 3 2/3 = ?
9/8 x 11/3 = 99/24
99/24 = 4 1/8
Answer:
1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2
2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2
3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1
4. Multiply both sides by 4x, we get 8+3x=4x
5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.
Step-by-step explanation:
Help - I don’t understand this please help
Step-by-step explanation:
have you taken the picture from the PC which website is this is tell me
5x + 2y = 10
What is the substitution?
Hi there!
The substitutions are 10 and 0.
Please help quick will give brainliest!
Answer:
The function's behavior close to the vertical asymptote, x = 2 is;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
Step-by-step explanation:
From the graph of the function. we have;
1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)
2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)
Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
R950 is divided between Ann, Jill, Agnes Ann gets R100 more than Jill, Jill gets R50 more than Agnes. How much did Agnes get
1.
What is the surface area of this prism
2. What is the volume of prism
Answer:
SA = 69.6in²
V = 28.8in³
Step-by-step explanation:
SA = 8 × 1.5 × 2 + 8 × 2.4 × 2 + 2.4 × 1.5 × 2 = 69.6in²
V= 8 × 1.5 × 2.4 = 28.8in³
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x)
Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:
[tex]A = B[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
Factor out 4x
[tex]A: 4x(x - 1)(x^2 - 4)[/tex]
Apply difference of two squares on x^2 - 4
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]
For, Polynomial B: We have:
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Expand x^2 + x - 2
[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]
Factorize:
[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]
Factor out x + 2
[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]
Factor out 4x
[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]
Rearrange
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
The simplified expressions are:
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
Hence, both polynomials are equal
[tex]A = B[/tex]
3. İki sayıdan biri diğerinden 4 fazladır. Büyük
sayının 2 katı ile küçük sayının 5 katının
toplamı 120'dir. Buna göre büyük sayı kaçtır?
K 20
E 16
M 22
ACİL ÇÖZÜN LÜTFEN BOŞ CEVAPLARI ŞİKAYET EDİCEM
Answer:
E
Step-by-step explanation:
50 × 2 =100 cevap 120 olucak ve 4 fazla o zaman 120 +4 =124 ediyor yani 16 daha eklememiz lazım cevap E
Compounds A and B are used in an experiment.
The equation y=700(0.8)x represents the remaining amount of compound A, in grams, after x hours. The table shows the remaining amount of compound B.
Time (h) Grams of B
1 800
2 400
3 200
What is the positive difference in the initial amount of each compound?
Enter your answer in the box.
9514 1404 393
Answer:
900 grams
Step-by-step explanation:
The equation tells you the initial amount of A is 700 grams.
The table tells you B is being cut in half each hour, so the amount when h=0 is 2×800 = 1600 grams.
The difference in the initial amounts is ...
1600 -700 = 900 . . . grams