Option D, 1, represents the remainder obtained from the synthetic division of (x²-4x+7) by (x-2).
What is synthetic division?Synthetic division is a shortcut method used to divide a polynomial by a binomial of the form (x-a), where a is a constant, without using long division.
According to the given information:
Synthetic division is a method used to divide a polynomial by a binomial of the form (x-a), where a is a constant. To find the correct synthetic division of (x²-4x+7) by (x-2), we write down the coefficients of the polynomial in descending order, as 1, -4, and 7. Then, we write the value of the constant a, which is 2, on the left side. We multiply a by the first coefficient, 1, and write the result underneath the next coefficient, -4. We add these two values to get -2, and write it underneath the next coefficient, 7. This gives us a quotient of 1 - 2x + 3/(x-2), and a remainder of 3. Therefore, the correct answer is option (D) 1, which represents the remainder of the synthetic division
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Synthetic division Help
Answer:
i really don't know because i'm only in 7th grade but if this helps then yea
Step-by-step explanation:
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
Answer:
Step-by-step explanation:
How many four-digit odd numbers less than 7000 can be formed using the digits 2, 3, 5, 7, 8, and 9?
There can be four-digit odd numbers less than 7000 formed using the digits 2, 3, 5, 7, 8, and 9.
(Simplify your answer.y
Answer:
Step-by-step explanation:
unit place can be filled with 3,5,7,9
number of ways=4
tens place can be filled with 2,3,5,7,8,9
number of ways=6
Hundreds place canbe filled by 2,3,5,7,8,9
number of ways=6
thousands place can be filled by 2,3,5
number of ways=3
total number of ways=3×6×6×4=432 ways.
total number of digits=432
A) Someone determined 24 x 12 by adding (24 x 10) and (24 x 2). What property were they using? O the associative property of multiplication
O the commutative property of multiplication
O the distributive property
O the identity property of multiplication
O the zero property of multiplication
4. D) Someone determined (9 x 6) x 5 mentally by multiplying (9 x 5) x 6. What properties did they use? (Select all apply.)
O the associative property of multiplication
O the commutative property of multiplication
O the distributive property
O the identity property of multiplication
O the zero property of multiplication
A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.
The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.
This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.
The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).
In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.
The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.
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y= 1.1x + 7what would changing the 1.1 into a -1.1 do?
Answer: It changes the slope from positive to negative.
Step-by-step explanation:
A cookie factory can bake 62 trays of cookies in the morning and 53 trays of cookies in the afternoon. If each tray holds 12 cookies, how many cookies can be baked in 1 day?
Answer:
I belive the answer is 1380.
What is the GCF
of 18 and 27?
Answer:
The occurrences of common prime factors of 18 and 27 are 3 and 3. So the greatest common factor of 18 and 27 is 3 x 3 = 9.
Step-by-step explanation:
If im correct, Brainliest?
Answer:
9
Step-by-step explanation:
u can search it up lol
Part A.) in another baseball game division, one team had a winning percentage of 0.444... what fractions of the game did the team win? *with full steps please* Part B.)How do you know what power of 10 to multiply by in the second step at the right?
Answer:
4/9
Step-by-step explanation:
0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1. Each new digit is 0.1 times the previous digit.
0.4
Then 0.4444... = ------------ = 0.4/0.9 = 4/9
1 - 0.1
You may check this result by dividing 4 by 9 on a calculator.
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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what is the slope intercept form of 4x+y=-3
Answer:
Step-by-step explanation:
-4x-3=y
order of operations
(20-6+4)*2+2
Please answer at least one of the pictures attached below
Answer:
HOLD ON ILL BE RIGHT BACK
Step-by-step explanation:
0.045 × 2.05 /0.0025 leaving your answer in standard form
The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
To perform the calculation and express the answer in standard form, follow these steps:
Multiply 0.045 by 2.05:
0.045 × 2.05 = 0.09225
Divide the result by 0.0025:
0.09225 / 0.0025
= 36.9
Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:
36.9 = 3.69 × 10
Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.
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what is the mean of these value? 5, 7, 3, 7, 9, 11, 8, 7, 6, 3
Answer:
The mean of this set of numbers is 6.6.
Step-by-step explanation:
To find the mean, first add all of the above numbers together.
5+7+3+7+9+11+8+7+6+3= 66
Now, simply divide 66 by the number of numbers added together. In this case, that will be 10.
66/10=6.6
The mean of this set of numbers is 6.6.
Answer:
6.6
Step-by-step explanation:
Mean is found by adding up all the values of the numbers, and dividng by the amount of aforementioned numbers.In this case, the followign would occur...
First, we add up all the numbers:
5+7+3+7+9+11+8+7+6+3 = 66
Then, we count how many numbers there are:
10
Finally we divide the value from step 1 by the value from step 2:
66/10 = 6.6
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
whats the median of (20, 15, 14, 16, 17, 12, 20, 22)
ANSWER CHOICES 16 17 18 or 19
PLS HELPP
Answer:
16.5
Step-by-step explanation:
Given data to us is ,
20, 15, 14, 16, 17, 12, 20, 22 .Arrange it in ascending order .
= 12 , 14 , 15 , 16 , 17 , 20 , 20 , 22
The middle most observation will be median in case n is odd and average of middlemost observations if n is even , that is n = 8 .
=> Middlemost observations = 16 , 17
=> Mean = 16 + 17 /2 = 33/2 = 16.5
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
Answer:
The answer is definetely 5.
Step-by-step explanation:
K = the distance from f(x) to g(x)
And I took the test and got a 100%. Ik ik I really am a MATH MAESTRO, it's in the name. Anyways Good luck! I hope this helped!
Answer:
5
Step-by-step explanation:
What is the slope of the line (14,0), (2, -6)
Answer:
1/2 is the answers
Step-by-step explanation:
please mark me as brainlest
The slope of the line is = 0.5
Given that:-one point is =(14,0)
other is =(2,-6)
Solution:-We can easily solve the question by the formula of a straight line.
The slope is = 0-(-6)/(14-2)
= 1/2
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.
A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Answer:
A) 0.0359
B) 0.0829
Step-by-step explanation:
A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359
B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829
In the data set below, what is the standard deviation? 4, 4, 8, 4, 5, 5
Answer:
σ2 = Σ(xi - μ)2 / N
= (4 - 5)2 + ... + (5 - 5)2 / 6
= 12 / 6
= 2
σ = √2
= 1.4142135623731
/ = fraction
The answer is 1.4142135623731
(round up)
Anyone can solve this for me??
Answer:
15.25 is the better.
Step-by-step explanation:
you don't ounces divided by money.
What are 3 events in US prison history that stand out to you as key turning points for prisoners’ rights? Name the event and provide the year it took place. Describe in complete sentences what happened and why you feel it was important in regards to prisoners’ rights.
Three important events for prisoners' rights are Jones v. Cunningham in 1963, Cooper v. Pate in 1964 and Furman v. Georgia in 1972 because due to all of these legal cases prisoners were provided with basic rights and protections.
What was Jones v. Cunningham in 1963 about?This was an important court case in which the habeas corpus right was ratified, which means prisoners can report if their detention was unlawful.
What was Cooper v. Pate in 1964 about?This was an important court case through which it was stablished prisoners can sue if the imprisonment conditions are cruel.
What was Furman v. Georgia in 1972 about?This was also an important court case through which it was determined death penalty was unconstitutional as it was considered a cruel punishment.
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This is for pre calculus I’m struggling on both
The graph has the following features:
The function is decreasing over the interval x < - 1.The function is increasing over the interval - 1 < x < 1.The graph may be either a cubic function or a quintic function.How to analyze a polynomial according to a graph
In this question we must infer some features of the graph of a polynomial such that the behavior of the curve itself and the possible grades. Then, by direct inspection of the graph, the function is decreasing for x < - 1, that is, the slope of the function is negative for x < - 1, and the function is increasing for - 1 < x < 1, that is, the slope of the function is positive for - 1 < x < 1.
The least degree of the polynomial is represented by the number of roots seen in the graph. A root is an x-value of the polynomial such that f(x) = 0. Thus, the graph may represent a cubic function, a kind of odd function, that is, a function of the form:
- f(x) = f(x)
Polynomials with odd grades greater than grade 2 are odd functions. In consequence, the graph may be a quintic function.
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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There are 40 students in a course: 15 freshmen, 8 sophomores, 12 juniors and 5 seniors. One student is selected at random to attend a workshop and report back to the class. What is the probability that the chosen student is a sophomore
Answer:
Step-by-step explanation:
There are 40 students in total, of which 8 are sophomores. So the probability of selecting a sophomore at random is:
P(Sophomore) = Number of Sophomores / Total Number of Students
= 8 / 40
= 0.2 or 20%
Therefore, the probability that the chosen student is a sophomore is 0.2 or 20%.
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
stubbom goats wo
\(rewrite \: the \: following \: sentence \: in \: the \: passive \: voice \\the \: people \: of \: zanzibar \: exetended \: a \: warm \: welcome \: to \: the \: tourists\)
5.1.2
Rewrite the following sentence in the passe Voice
The people of Zanzar estender a warm watcome to the founsts
Answer:
The people of Zanzar estender a warm watcome to the founsts
Step-by-step explanation:
you said rewrite it so this should be your answer
Select all of the trip that would take 2 hours
Answer:
what are your options ??
Step-by-step explanation:
3х + y 2 – 7
Linear inquality
Answer:
xfgn
Step-by-step explanation:
Which type of function best represents the data shown in the table above? Linear Quadratic Exponential
2. Decide which of the statements are true regarding the table above. 000 The first differences are constant. The ratio of the first difference to the second difference is constant. The second differences are constant.
3. Which type of function best represents the data shown in the table below? Linear Quadratic Exponential
help me pls D:
1. The type of function which is best represented by the data in the table is; Quadratic.
2. The statement which is true is; The second differences are constant.
3. The type of function which is best represented by the given table is; Linear equation.
What are distinguishing features of linear and quadratic equations?It is evident from the task content that the functions which correctly represents each data table is required to be determined.
Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.
On this note, the first table correctly represents a quadratic function while the second represents a linear function.
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Could y’all PLEASE HELP
Answer:
should be complementary angles