Answer:
x² + x + 1 and remainder 2Step-by-step explanation:
Given
(x³ + 1) ÷ (x - 1)Without using a synthetic division, we can use easier method to find the quotient.
We know the formula:
x³ - 1 = (x - 1)(x² + x + 1)Rewrite the given as:
x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2
The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be p = x³ + 1
Let the second equation be q = x - 1
A = p / q
On simplifying , we get
A = x³ + 1 / ( x - 1 )
On dividing , we get the quotient as
A = x² + ( x² + 1 ) / ( x - 1 )
A = x³ + x + 1 + ( 2/x + 1 )
Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )
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A triangle is translated 4 units down and 8 units to the right
Which translation returns it to its original location?
O(x, y) - (x + 4, y - 8)
o (x, y) - (x - 8, y + 4)
O (x, y) - (x - 4, y + 8)
O(x, y) — (x + 8, y - 4)
Answer:
It's the second on, 4 units up and 8 units to the left
how much is 1/2÷8×57÷13+15
Answer:
Use the BODMAS method and at the end work the fraction left by adding it to 15
My answer was 15.274
solve this indices a²b + a³b / a²b²
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a³b, a²b², ab³, b4 ... The solution to the problem of the binomial coefficients without actually ... The upper index n is the exponent of the expansion; the lower index k indicates which term ... 1a5 + a4b + a3b² + a²b3 + ab4 + b5.
3. What is the perimeter of a rectangle if the width is 2 ½ inches and the length is 4.5 inches?
(show how you get your answer please)
Answer:
Perimeter of the rectangle = 14 inches
Step-by-step explanation:
Step(i):-
Given length of the rectangle = 4.5 inches
Given that the width of the rectangle = [tex]2\frac{1}{2} = \frac{5}{2} = 2.5[/tex] inches
The area of the rectangle = length × width
= 4.5 × 2.5
= 11.25 sq inches
Step(ii):-
Perimeter of the rectangle = 2( length + width)
= 2( 4.5 + 2.5)
= 14 inches
Final answer:-
Perimeter of the rectangle = 14 inches
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Fraction Problem Solving
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Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Solve for the value of x and y if ADCB - NOPM.
I need that please
Answer:
can we see the picture?
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
so far carmella has collected 14 boxes of baseball cards there are 31 cars n each box carmella estimates that she has about 3000 cards so she buys albums that hold 500 cards each
Answer:
Step-by-step explanation:
Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)
Answer:
A,EStep-by-step explanation:
Edge 2021
The expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
What are Equivalent Expressions?Equivalent expressions are expressions that have the same values when evaluated or simplified.
Given:
7(-¾x - 3)
Open the bracket
7(-¾x) -7(3)
-5¼x - 21
Therefore, the expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
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9 more than 6 times a number? How is it written as?
Answer:
6x + 9
Step-by-step explanation:
ANSWER THIS IN SIMPLEST FORM! GIVING OUT BRAINLIEST TO WHOEVER HELPS ME WITH THIS, TYSM!!! ❤️ 50 POINTS
Can anyone help me pls
Answer: likely
Step-by-step explanation:
Solve the inequality 2x – 15<_5
Answer:
you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.
Step-by-step explanation:
[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]
[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]
Which pair
angles must be supplementary?
21
5
3 4
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
Help please______________________________
Answer:
By rounding each number to the nearst whole number, estimate the solution:
2.7²X4.3=31.347
8.8-5.15=3.65
for this 31 and 4 if you want to round
Step-by-step explanation:
Answer:
?????????
Step-by-step explanation:
What is the real part of 6 plus 3i
Answer:
63
hope it's 9 lol ❤❤❤❤❤❤
THANK YOU. ^O^ :)
Answer: 6
Step-by-step explanation: A complex number is written as a+bi where a is the real part(whole number) and b is the imaginary part.
what is -5x^2+7x+1 from 8x^2+x-10
Answer:
13x^2 - 6x -11
Step-by-step explanation:
Which ordered pair satisfies the system of equations below?
Answer:
(2.5,-0.5)
Step-by-step explanation:
3x-y=8
x+y=2
4x=10
x=2.5
x+y=2
2.5+y=2
y=-0.5
ANS: (2.5,-0.5)
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
Factor the expression: -x - 6 =
Answer:
- ( x + 6) I think
plz very hard question
Answer:
150ft^2
Step-by-step explanation: all you need is the base (15 feet) and the height (20 feet) multiply and you get 300. 300/2 (triangle area.) and you get 150ft^2
Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12
Answer:
Step-by-step explanation:
6x – 3y = -30
3x – 6y = 12
Multiply the top equation by 2 and write the bottom equation under it.
12x - 6y = - 60
3x - 6y = 12 Subtract
9x = - 72 Divide by 9
x = - 72/9
x = - 8
6x - 3y = - 30
6*-8 - 3y = -30
-48 - 3y = - 30 Add 48 to both sides.
-3y = - 30 + 48
-3y = 18 Divide by -3
y = -18/-3
y = -6
Amelia pays $24 to rent a boat at the lake for up to six hours she constructs the inequality and number line below to represent the number of hours X she can use the boat?
HELP PLEASE! 10 points
Answer:C
Step-by-step explanation:
That’s most likely the answer
An angle measures 86.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
nsksnekwksnskswkwksks
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
helppppppppppppppppppppppppppp
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes