Answer:
The list of rational numbers below are ordered from greatest to least.
15, 6.7, , 100%, -55%,
To determine which of the following numbers could NOT be the missing value in the list above, we need to determine the correct order of the numbers in the list.
First, we can convert the percentages to decimals:
100% = 1
-55% = -0.55
Now we can order the numbers from greatest to least:
15, 6.7, 1, -0.55, x
We know that x is a rational number, so it can be expressed as a fraction. We can eliminate answer choices C and D because they are not rational numbers.
Next, we can compare x to the other numbers in the list. We know that x must be less than 6.7, so we can eliminate answer choice A.
That leaves us with answer choice B, -2.5. This number could be the missing value in the list, so the answer is B.
If a town's population doubles every 4 years, how
many people will be in the down 12 years later if the
current population is 28,100? y = ab*
The population of the town 12 years later will be 224,800 if the current population is 28,100 and the population doubles every 4 years.
Since the population doubles every 4 years, we can use the formula:
P = P0 x [tex]2^{t/4}[/tex]
where P0 is the initial population, t is the time elapsed in years, and P is the population after time t.
In this case, the initial population P0 is 28,100, and we want to know the population after 12 years, so t = 12. Substituting these values into the formula, we get:
P = 28,100 2^(12/4)
= 28,100 x 2³
= 28,100 * 8 = 224,800
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I need some help with this problem please
(a) The result of row 1 and row 2 interchange is [3 -2 3]
[2 3 1]
(b) The result of multiplying and adding the matrix is [-1 5 -2]
[3 -2 3]
What is the row operation of the matrix?
The row operation of the matrix is calculated as follows;
The given matrix;
[2 3 1]
[3 -2 3]
To interchange row 1 and row 2, we determine it as follows;
R₁ ↔ R₂ = [3 -2 3]
[2 3 1]
The product of row 2 and -1 is calculated as;
-1 (R₂) = [-3 2 -3]
The addition of -1(R₂) + R₁ is calculated as;
-1(R₂) + R₁ = [-3 2 -3] + [2 3 1]
-1(R₂) + R₁ = [-1 5 -2]
new matrix = [-1 5 -2]
[3 -2 3]
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Is x-7
a factor of
x^5+5x^4-2x^3+4x^2+8x+3976
?
Correct The remainder when you divide is
x-7 is a factor of [tex]x^5+5x^4-2x^3+4x^2+8x+3976$[/tex], we can use the Factor theorem which states that if f(a) = 0, then x-a is a factor of f(x).the remainder when we divide [tex]x^5+5x^4-2x^3+4x^2+8x+3976$[/tex] by x-7 is 4054.
To check if x-7 is a factor of [tex]x^5+5x^4-2x^3+4x^2+8x+3976$,[/tex] we can use the factor theorem which states that if f(a) = 0, then x-a is a factor of f(x).
To check if x-7 is a factor, we evaluate the polynomial at x=7:
[tex]f(7) = 7^5+5\cdot7^4-2\cdot7^3+4\cdot7^2+8\cdot7+3976 = 384004$.[/tex]
Since [tex]$f(7)\neq 0$[/tex], we can conclude that x-7 is not a factor of [tex]x^5+5x^4-2x^3+4x^2+8x+3976$.[/tex]
To find the remainder when we divide [tex]$x^5+5x^4-2x^3+4x^2+8x+3976$[/tex]by x-7, we can use polynomial long division or synthetic division. Using polynomial long division, we get:
[tex]x^4 + 12x^3 + 82x^2 + 578x + 4046\\x-7 | x^5 + 5x^4 - 2x^3 + 4x^2 + 8x + 3976\\- x^5 + 7x^4[/tex]
------------
[tex]12x^4 - 2x^3 + 4x^2 + 8x\\ 12x^4 - 84x^3[/tex]
-------------
[tex]82x^3 + 4x^2 + 8x\\ 82x^3 - 574x^2[/tex]
--------------
[tex]578x^2 + 8x\\ 578x^2 - 4046[/tex]
------------
4054
Therefore, the remainder when we divide [tex]$x^5+5x^4-2x^3+4x^2+8x+3976$ by $x-7$ is $4054$.[/tex]
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Find the area of the composite figure ?
The area of the composite figure is 81 yd². Option D
How to determine the areaThe composite figure is made up of a rectangle, a triangle and a trapezoid
The formula for the area of a rectangle is expressed as;
Area = length × width
Substitute the values
Area = 7(6)
Multiply the values
Area = 42 yd²
Area of the triangle = 1/2 base ×height
Area of the triangle = 1/2 × 6 ×5 = 30/2 = 15yd²
Area of the trapezoid = a+b/2 h
Substitute the values
Area = 7 + 9/2 (3) = 16/2(3) = 8(3) = 24yd²
Total area = 24 + 15 + 42 = 81 yd²
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The area of the composite figure is 81 cm²
What is area of composite figure?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Any figure that we can break and form more than one basic shape from is called a composite figure.
The figure consist of two trapezoid
Area of trapezoid 1 = 1/2( a+b) h
= 1/2 ( 12 + 7) 6
= 1/2 × 19 × 6
= 19 × 3
= 57cm²
area of trapezoid 2
= 1/2(a+b) h
= 1/2 ( 7+9) 3
= 1/2 × 16 × 3
= 8 × 3
= 24 cm²
Therefore the area of the composite figure
= 57 +24 = 81 cm²
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PLEASE HELP ME
Which of these triangles are definitely right triangles?
(Note that not all triangles are drawn to scale.)
(Select all that apply.)
A
B
C
D
E
Answer:
I'd like to explain more but I have limited comment
chat me up
A
I need help urgently on this problem, please and thank you
The inverse of function f is [tex]f^{-1}(x)=\frac{4}{x}-3[/tex].
The domain of f is (-∞, -3) U (-3, ∞).
The range of f = (-∞, 0) U (0, ∞)
The domain of f⁻¹ = (-∞, 0) U (0, ∞).
The range of f⁻¹ = (-∞, -3) U (-3, ∞).
How to determine an inverse function?In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value or domain) and dependent value (y-value or range) as follows;
f(x) = y = 4/(3 + x)
x = 4/(3 + y)
3 + y = 4/x
f⁻¹(x) = 4/x - 3
[tex]f^{-1}(x)=\frac{4}{x}-3[/tex]
By critically observing the graph of this rational expression (function) and its inverse shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain of f = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
Range of f = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Domain of f⁻¹(x) = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Range of f⁻¹(x) = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
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What is the surface area of a sphere with diameter 8 cm?
Answer:
A≈201.06cm²
Step-by-step explanation:
A=4πr2
d=2r
Solving forA
A=πd2=π·82≈201.06193cm²
Use the tree diagram to complete each statement.
The probability of no promotion, given that a salesperson hit the quota: A is
.
The probability of a promotion, given that a salesperson missed the quota: B is
.
The probability of no promotion, given that a salesperson missed the quota: C is
.
The probability that a salesperson hit the quota and got promoted: D is
.
The probability that a salesperson hit the quota, given that the salesperson was promoted is 0.88. Therefore, option D is the correct answer
From the tree diagram, there are two ways to obtain the promotion:
0.41 of 0.68 (hit the quota).
0.14 of 0.32 (did not hit the quota).
So, the probability of getting a promotion is:
P(A) = 0.41 × 0.68 + 0.14 × 0.32 = 0.3236.
The probability of both getting a promotion and hitting the quota is:
P(A and B) = 0.41 × 0.68 = 0.2788.
So, the conditional probability is:
P(B|A) = P(A and B)/P(A) = 0.2788/0.3236 = 0.88 (approximately).
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Salespeople at a certain company must meet a quota each month. On average, they hit the quota 68% of the time. If a salesperson hits the quota, the probability of being promoted in the next six months is 0.41. If a person doesn’t hit the quota, the probability of being promoted is 0.14.
Use the tree diagram to determine the probability that a salesperson hit the quota, given that the salesperson was promoted.
A. 0.28
B. 0.32
C. 0.41
D. 0.88
I need assistance for 1b
The two numbers are 15 and 15. The product of the two numbers is 225.
Let x and y be the two numbers we are searching for. We know that x + y = 30, so we can settle for y to get y = 30-x. The result of x and y is then, at that point:
[tex]P(x, y) = x(30 - x) = 30x - x^2[/tex]
To find the greatest item, we can take the subsidiary of P(x, y) concerning x and set it equivalent to 0:
dP(x, y)/dx = 30 - 2x = 0
Settling for x, we get x = 15. Subbing x = 15 into y = 30-x, we get y = 15. Hence, the two numbers that have an amount of 30 and produce the biggest conceivable item are 15 and 15.
The result of the two numbers is:
P(15, 15) = 15 * 15 = 225
So the result of the two numbers is 225.
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PLEALSLE ANSWER FOR 70 POINTS
prove: the square of a number that is two more than a multiple of 3 is one more than a multiple of 3
Prove in below steps:
(3n + 2)² = 9n² + 12n + 4 = 9n² + 12n + 3 + 1 = 3(3n² + 4n + 1) + 1 = 1 more than a multiple of 3Proved
Use the number properties rule to solve the equations below. Remember that PEMDAS tells you what to do first.
1) 5 + 16 = 16 + __
2) 450 + ___ = 50 + 450
3) 2 + ( 3 + 5 ) = ( 2 + 3 ) + _____
4) ( 7 + 4 ) + 6 = ___+ ( 4+6 )
5) 7 + 0 = ________
6) 15 – 0 = _______
7) (12 – 8 ) – 2 = _______
8) 12 – ( 8 – 2 ) = _________
9) 20 – 5 = _____
10) 5 – 20 = _______
Mark as true or false.
11) 16 + 4 = 4 + 16 ______________
12) 15 – 5 = 5 – 15 ______________
13) (3 + 4) + 5 = 3 + (4 + 5) ______________
14) (12 – 4) – 2 = 12 – (4 – 2) ______________
15) (10 -5) + 5 = 10 – (5 +5) ______________
After considering the given data we conclude that the value of the sub question are
A) 16
B) 50
C) 5
D) 7
E) 7
F) 15
G) 2
H) 6
I) 15
J) -15
And the marking the true and false
a) true
b) false
c)true
d) true
e) false
The number properties rule is a set of rules that help you solve mathematical equations. The rule is also known as the order of operations. The acronym PEMDAS is used to remember the order of operations. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) ¹².
Let's solve the equations using the number properties rule:
A) 5 + 16 = 16 + __
We can solve this equation by subtracting 16 from both sides of the equation.
5 + 16 - 16 = 16 + __ - 16
5 = 16
The equation is not true.
B) 450 + ___ = 50 + 450
We can solve this equation by subtracting 450 from both sides of the equation.
450 + ___ - 450 = 50 + 450 - 450
___ = 50
The answer is 50.
C) 2 + ( 3 + 5 ) = ( 2 + 3 ) + _____
We can solve this equation by simplifying the parentheses first.
2 + (3 + 5) = (2 + 3) + _____
2 + 8 = 5 + _____
10 = 5 + _____
We can solve this equation by subtracting 5 from both sides of the equation.
10 - 5 = 5 - 5
5 = _____
The answer is 5
D) (7 + 4) + 6 = ___+ (4+6)
We can solve this equation by simplifying the parentheses first.
(7 + 4) + 6 = ___+ (4+6)
11 + 6 = ___+ 10
17 = ___+ 10
We can solve this equation by subtracting 10 from both sides of the equation.
17 - 10 = ___+ 10 - 10
7 = ___
The answer is 7
E) 7 + 0 = ________
The answer is 7
F) 15 – 0 = _______
The answer is 15
G) (12 – 8 ) – 2 = _______
We can solve this equation by simplifying the parentheses first.
(12 – 8 ) – 2 = _______
4 - 2 = _______
2 = _______
The answer is 2
H) 12 – (8 – 2 ) = _________
We can solve this equation by simplifying the parentheses first.
12 – (8 – 2) = _________
12 - 6= _________
6= _________
The answer is 6.
I)20 – 5= _____
20 - 5= _____
15= _____
The answer is 15.
J)5 –20= _______
5 - 20= _______
-15= _______
The answer is -15.
Mark as true or false.
a)16+4=4+16 ______________
True
b)15–5=5–15 ______________
False
c)(3+4)+5=3+(4+5) ______________
True
d)(12–4)–2=12–(4–2) ______________
True
e)(10-5)+5=10–(5+5) ______________
False
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WILL GIVE BRAINLIEST PLEASE HELP!
Question 10
The reason that Rachel could give for her proof is given as follows:
<1 ≅ <5 by the Corresponding Angle Theorem.
What are corresponding angles?When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that are in the same position relative to the two parallel lines and the transversal.
Corresponding angles are always congruent, which means that they have the same measure.
A pair of corresponding angles in this problem is given as follows:
<1 and <5.
Hence they are congruent. <8 is opposite by the same vertex with <5, hence they are also congruent, and by the transitive property of congruence, we have that:
<8 ≅ <1, as <8 ≅ <5 and <5 ≅ <1.
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what would The number of discharge days for a patient admitted January 23 to February 15 is _____.
Answer:
The number of discharge days for a patient admitted January 23 to February 15 is 31 - 23 + 15 = 23
pls answer me fast rapidly:
What is -4 ≥ k - 2 I can not find it so please help...
Please help I’ll mark you as brainliest if correct
Answer:
5, 3
Step-by-step explanation:
Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
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4.1.2 Calculate the total number of deaths for all the countries.
Calculating the total number of deaths for all countries requires collecting data from various sources and summing up the individual death counts. Here is a step-by-step guide on how to approach this calculation:
Identify reliable sources: Look for reputable sources that provide updated and accurate information on global death counts.
Gather country-specific data: Access the data provided by these sources and collect the individual death counts for each country.
Validate and verify data: Cross-reference the data from multiple sources to ensure consistency and accuracy.
Sum up the death counts: Add up the individual death counts for each country to obtain the total number of deaths.
Regularly update the data: As the situation evolves, keep track of new data releases and updates.
Calculating the total number of deaths for all countries requires collecting data from various sources and summing up the individual death counts. Here is a step-by-step guide on how to approach this calculation:
Identify reliable sources: Look for reputable sources that provide updated and accurate information on global death counts. Examples include official government health agencies, international health organizations (e.g., WHO), and reputable databases (e.g., Worldometer, Johns Hopkins University).
Gather country-specific data: Access the data provided by these sources and collect the individual death counts for each country. Ensure the data is recent and covers a comprehensive list of countries.
Validate and verify data: Cross-reference the data from multiple sources to ensure consistency and accuracy. Different sources may have slight variations, so it's important to verify the data and use the most reliable figures.
Sum up the death counts: Add up the individual death counts for each country to obtain the total number of deaths. Use a spreadsheet or calculator to perform the calculations accurately.
Regularly update the data: As the situation evolves, keep track of new data releases and updates. Update the total number of deaths accordingly to maintain accuracy.
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The question probable may be:
How to calculate the total number of deaths for all the countries?
7) The masses of 4 samples of
salt are measured to perform an
experiment in science class.
What is the total number of
grams of salt in the 3 samples
with the most mass? (Just put
the number but write it as a
decimal.)
The required total number of grams is 13.5 gram.
From figure we have,
The masses of 4 samples are the masses are 1.5 gram, 3.5 gram , 5 gram and 5 gram respectively.
To calculate the total number of grams of salt in the 3 samples with the most mass,
Add the masses of the three largest samples.
In this case,
The three largest samples are 3.5 grams, 5 grams, and 5 grams.
We have: 3.5 grams + 5 grams + 5 grams = 13.5 grams
Therefore, the total number of grams of salt in the 3 samples with the most mass is 13.5 grams.
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Help, what is the value of x if the volume is 133 1/3
If the volume is 133 1/3 in³, the value of x is equal to 5 inches.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;
133 1/3 = 10 × x × 2 2/3
400/3 = 10 × x × 8/3
400/3 = 80x/3
80x = 400
x = 400/80
x = 5 inches.
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A high school is building a new gym in the shape off a pyramid. Its base is a square with each side 500 feet long and has a slant height of 60 feet. What is the surface area of this pyramid?
The surface area of the pyramid is approximately 393,560 square feet.
To find the surface area of the pyramid, we need to find the area of each of the four triangular faces and the area of the square base.
The area of the square base is simply the area of a square with side length 500 feet:
Area of base =[tex](side length)^2 = (500 feet)^2[/tex]= 250,000 square feet.
To find the area of each triangular face, we need to know the length of one of the sides of the base and the slant height of the pyramid.
Since the base is a square, all sides have the same length of 500 feet.
Using the Pythagorean theorem, we can find the height of each triangular face:
height = √(slant heigh[tex]t^2[/tex] - base lengt[tex]h^2[/tex]/4)
height = √([tex]60^2 - (500/2)^2[/tex])
height = √(3600 - 62500/4)
height = √(3600 - 15625)
height = √20375
height ≈ 142.76 feet
Now we can find the area of one of the triangular faces:
Area of triangular face = (1/2) x (base length) x (height)
Area of triangular face = (1/2) x 500 feet x 142.76 feet
Area of triangular face ≈ 35,690 square feet
Since there are four triangular faces, the total surface area of the pyramid is:
Total surface area = 4 x (Area of triangular face) + (Area of base)
Total surface area = 4 x 35,690 square feet + 250,000 square feet
Total surface area ≈ 393,560 square feet
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please show work I don't understand how to do this
Answer:
19.......
Step-by-step explanation:
correct
Answer:
x = - 2---------------------------
Solve the equation for x:
- 3 = - 8x - 9 + 5x simplify right side- 3 = - 3x - 9 add 9 to both sides9 - 3 = - 3x 6 = - 3x divide both sides by - 3x = - 6/3x = - 2Here are two triangles show that the triangles are similar what is the scale factor from triangle abc to abc
The two triangles are similar because angle C = C' and angle A = A'. The scale factor is 4/3
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent.
Also, the ratio of corresponding sides of similar triangles are equal.
Therefore to show that that the two triangles are equal;
Tan A = 4/3
Tan A = 1.333
A = 53.1°
Tan A' = 5.3/4
Tan A' = 1.33
A' = 53.1°
Therefore the two triangles are similar.
The scale factor = 4/3
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The next day you take Zeek to the Arizona State Fair. His mom gives him $30 to
spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
● Define a variable, ex: x = ________.
● Write an equation to model this situation.
● Solve the equation for your variable.
● Write your answer in a complete sentence.
● Give the page a relevant title.
Answer:
Step-by-step explanation:
Let’s define the number of rides that Zeek can ride as “r”.
To determine how many rides Zeek can ride, we need to first subtract the cost of admission from his total budget:
$30 - $13 = $17
This means that Zeek has $17 left to spend on rides. Since each ride costs $2, we can set up the following equation:
$2r = $17
To solve for “r”, we divide both sides of the equation by $2:
r = $8.50
So Zeek can ride a maximum of 8 rides with the $17 he has left after paying for admission. However, since he cannot ride a fraction of a ride, he may be limited to only 8 rides or fewer.
Solve this question briefly If you can
The solution of the equation, | x + 10 / 2x + 1 | = 20 is x = 10 / 39 or x = -30 / 41.
How to solve absolute equation?The absolute equation can be solved as follows:
| x + 10 / 2x + 1 | = 20
Therefore,
x + 10 / 2x + 1 = 20 or x + 10 / 2x + 1 = - 20
cross multiply
x + 10 / 2x + 1 = 20
x + 10 = 20(2x + 1)
x + 10 = 40x + 20
x - 40x = 20 - 10
-39x = -10
x = 10 / 39
x + 10 / 2x + 1 = - 20
cross multiply
x + 10 = -20(2x + 1)
x + 10 = -40x - 20
x + 40x = -20 - 10
41x = -30
divide both sides of the equation by 41
x = - 30 / 41
Therefore, x = 10 / 39 or x = -30 / 41
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what is .3433 rounded to the nearest hundredth
Answer:
0.34
Step-by-step explanation:
4 or below go down low
5 or above fly like a dove
so the 33 part is lower than 50 so round down
Express using summation notation: 1^2+2^2+3^2+…+750^2
Answer:
⟶ We can express the sum 1^2 + 2^2 + 3^2 + ... + 750^2 using summation notation as:
∑i^2, where i goes from 1 to 750.
⟶ Here, the symbol ∑ represents the summation, and i is the index variable, which takes on the values 1, 2, 3, ..., 750. The expression i^2 is the term being summed.
⟶ So the sum can be written as:
∑i^2 = 1^2 + 2^2 + 3^2 + ... + 750^2
⟶ Note that the upper limit of the index variable is 750, which corresponds to the last term in the sum.
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Answer:
[tex]\sum \limits^{750}_{n=1} {n^2}[/tex]
Step-by-step explanation:
General explanation of summation notation
Any sum of terms whose format is the same can be represented more concisely using a Summation symbol.
The Summation symbol is a capital greek letter Sigma: [tex]\sum[/tex]
The summation will take a general format of each term, and increase a "dummy variable" by 1, summing together terms until the summation is complete. To write the summation expression, find the common format of each term, and write it using a "dummy variable" to represent the number that is changing.
If the change of the number within each term increases by 1 each time, that makes the transition easier because the dummy variable increases by 1. If the change of the number within each term does not change by 1 each time, using summation notation can be more challenging, as one needs to develop a formula to represent the amount that it is changing each time.
The common format of each term & the changing number
In our case, each term is some number squared, and the number that is squared changes from 1, to 2, to 3, ... and so on .. up to 750 (changing by 1 each time). Since the number that is square changes by 1 each time, that will be our "dummy variable".
Using "n" for the "dummy variable", our terms look like [tex]n^2[/tex]
The start and end of the list
Lastly, to specify where the list starts and ends, we write where the list starts (lowest number) at the bottom with the "dummy variable", and where the list ends (largest number) at the top.
So, in the end, the summation would look like this: [tex]\sum \limits^{750}_{n=1} {n^2}[/tex]
This represents adding a bunch of terms that look like [tex]n^2[/tex], starting at n=1, each time, increasing the value of n by 1, and stopping with the last term when n=750.
Extension of knowledge (NOT about THIS problem)
For a similar example where the changing number doesn't increase by 1 each time, look at a similar sequence of, where it's just the odd numbers squared up to 99:
1^2 + 3^2 + 5^2 + … + 99^2
While the terms do have the format of a number squared, since the number that is squared isn't just increasing by 1 each time, there would need to be a formula to describe how they are increasing. One way to represent that would be:
[tex]\sum \limits^{50}_{n=1} {(2n-1)^2}[/tex]
Note that this does cause the final endpoint of the dummy variable to not necessarily be intuitive, but the "99 squared" is the 50th term (observe 2*50-1 is 99).
what is the addictive inverse of 36
Answer:
Step-by-step explanation: -36
Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is
The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8
What is the remainder theorem?The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point
The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;
f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8
The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8
Learn more on the remainder theorem here: https://brainly.com/question/17256898
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8x^5+3x^4-23x in standard form
Answer:
Step-by-step explanation:
[tex]8x^5 + 3x^4 - 23x\\= 8x^5+3x^4+0x^3+0x^2-23x+0[/tex]