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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PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answer:
122
Step-by-step explanation:
x = 180-(180-50-72) = 180-(130 - 72) = 180 - 130 + 72 = 50 + 72 = 122
add 50+72 and it will give you 122 and the triangle should be uhhh hang on gosh this is hard to remember, um 180 I believe so if you do 180-122 it will give you 58. Now you do 180 -58 because of the °180 line and I believe and it will give you 122 for the missing x but don't take my word on it cause I'm not sure if it's right but that's what I remember
what fraction is greater than 3/4
Answer:
any positive whole number more than 0
or one example is 5/4
Subtract 9/10-2/5 what is the answer?
Answer:
[tex]★\:\: \frac{9}{10} -\frac{2}{5}\\ = \frac{9}{10}- \frac{4}{10} \\ = \frac{(9 - 4)}{10} \\ = \frac{5}{10} \\ = \boxed{ \frac{1}{2}}✓ [/tex]
1/2 is the right answer.Match the graph
with its inequality.
Answer:
The answer is A because all points less than -3 are shaded
Yalguun earns 3.5% simple interest annually. She deposits $1050 into a bank account. How much interest will she make on her account after 9 years?
Answer:
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are ... The rate of interest is usually expressed as a percent per year, and is calculated by ... Nathaly deposited $12,500 in her bank account where it will earn 4% interest. ... How much interest did she earn in 5 years
help asap i will give brainliest
Answer: 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would he weigh on Pluto?
Answer:
16 I believe. 240 divided by 15 is 16.
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
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Answer:
Formula is [tex]\pi[/tex]r^2h/3
Volume 549.78
Step-by-step explanation:
which is [tex]\pi[/tex] multiplied by 5^2 the radius multiplied by 21/3 the height equals 549.78
A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?
Answer: 74.2857143 milliliters
Step-by-step explanation:
65cm3 + 9.28571429 milliliters = 74.2857143 milliliters
write 56
as the product of prime factors
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
Pls help me question is above, pls give the correct answer:)
Answer:
A'=(5,1)
Step-by-step explanation:
Rotations
Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.
The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).
The image attached below shows both points
(4 + x)(x - 5)
Is the expression linear or quadratic?
Answer:
it's quadratic
Step-by-step explanation:
(4x+x)(x-5)
after expanding will give the answer x²-5x+4x-20 which is also equal to x²-x-20
The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
Answer:
6366.4213
Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.
write the number seventeen thousand and forty-eight in figures
Answer:
17 048
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Step-by-step explanation:
There are 20 pieces of fruit in a fruit bowi and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answer:60 %
Step-by-step explanation:
if we set up an proportion, [tex]\frac{20}{100}[/tex] =[tex]\frac{12}{x}[/tex] the answer is 60. 100x12=12001200 divded by 20 =60Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?I want this answer it percentage
Answer:
27 cupcakes left
In percentage of the number of cupcakes left after she ate 4 = 75%
In percentage of the total number of cupcakes she baked = 67.5%
Step-by-step explanation:
Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder
= 40 - 4
= 36 cupcakes
If she gave 25% of the remaining, the number of cupcakes given
= 25% * 36
= 25/100 * 36
= 9 cupcakes
the number of cupcakes left
= 36 - 9
= 27 cupcakes
In percentage of the number of cupcakes left after she ate 4, this will be
= 100% - 25%
= 75%
In percentage of the total number of cupcakes she baked
= 27/40 * 100%
= 67.5%
PLEASE HELP i have by the end of the day to turn this in PLEASE DO NOT GUESS :)
Answer:
x=101
Step-by-step explanation:
the missing angle and the outside angle have to equal 180 so
148-180= 32
then add 32+47 and subtract by 180 and that's your answer
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape
9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
You have a loan for $200,000 at 8.5% annual simple interest.what is your monthly interest payment
Answer:
~1467
Step-by-step explanation:
$200,000 x 8.5% or .085 = $17,000 Annualy
$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments
Answer is $1467 Rounded
The monthly interest payment is $1,467.
Given that,
The loan amount is $200,000.The rate of interest is 8.5%.We need to find out the monthly interest payment.Based on the above information, the calculation is as follows:
[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]
= $1,467
Therefore we can conclude that the monthly interest payment is $1,467.
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Please help thank you! (read the screenshot)
Answer:
Step-by-step explanation:
Answer:
i dont know this one sorry wish i could help
Step-by-step explanation:
In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.
Answer:
60%
Step-by-step explanation:
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100
%
.
So there are
30
people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of
50
total families. So
30
50
can be reduced to
3
5
and that gives us
.6
When that value is multiplied by
100
%
, it gives us our percentage of
.6
⋅
100
%
=
60
What are the X- and y-intercepts for the graph of the equation y = 4 - 2x ?
Answer:
The x intercept is (2,0)
The y intercept is (0,4)
Step-by-step explanation:
y = 4 - 2x
To find the x intercept, let y =0 and solve for x
0 = 4 - 2x
Subtract 4 from each side
-4 = -2x
Divide by -2
-4/-2 = -2x/-2
2 =x
The x intercept is (2,0)
To find the y intercept, let x =0 and solve for y
y = 4 - 2*0
y = 4
The y intercept is (0,4)
Find each difference.
• (-5) – 6 =
.
35 – (-8) =
.
43 - (-1) =
Answer:
1=1
2=43
3=44
Step-by-step explanation:
the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together
Lily spent $190 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 12 then how many of each kind did she buy?
Answer:
7 fancy shirts and 5 plain shirts
Step-by-step explanation:
f and p are the numbers of fancy and plain shirts
f+p = 12
p = 12-f
20f + 10p = 190
20f + 10(12-f) = 190
20f + 120 - 10f = 190
10f = 70
f = 7
p = 12-f = 5
The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport
Answer:
A.) yes because the scale does not start at 0
Step-by-step explanation:
edge
Answer:
A
Step-by-step explanation:
Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?
A. 2.185 seconds
B. 2.285 seconds
C. 29.692 seconds
D. 55.805 seconds
Answer:
B
Step-by-step explanation:
B because 29.07 - 26.785 = 2.285
Answer:
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Step-by-step explanation:
Which expression has a solution of 5, if r = 3?
Answer:
i need a picture
Step-by-step explanation:
If 5.5 pounds of grapes cost $10, what is the unit rate in price per pound?
Answer:
$1.82 per pound
Step-by-step explanation:
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $9 per pack, while hamburgers cost $6 per pack with taxes
included. Jerry can spend a maximum of $100 on the food.
Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?
Answer: 9x+6y ≤10
Step-by-step explanation:
Let x= number of packs of hot dogs .
y =number of packs of hamburger.
Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)
i.e. Total expenditure =9x+6y ( in $)
Jerry can spend a maximum of $100 on the food.
So, Total expenditure ≤ $100
i.e. 9x+6y ≤10 [Required inequality]
The inequality that represents this situation:9x+6y ≤10