Answer:
a. 6x^5- 3x^3+ 21
b. (6x^5+ 4x^4+21) - (4x^5+ 3x^4+11)= 2x^5+ x^4+10
Step-by-step explanation:
The degree of the polynomial is the highest power of the terms of the polynomial . e.g
x³+ 2ax+ b² is a polynomial of 3rd degree because the highest power of the terms given is 3.
As we need a polynomial of 5th degree the highest power will be 5.
6x^5+ 4x^4+ 3x^3+ 5x^2+ x+21
But this polynomial has 5 terms. We need a 5th degree polynomial with three terms so it can be any one of the following
6x^5- 3x^3+ 21
6x^5+ 4x^4+21
6x^5+ 5x^2+21
6x^5 + x+21
All of th above polynomials are in the standard form because the powers of the terms are given in decreasing order. The first term has the highest power and so on.
Part B:
Suppose we have 2 polynomials
6x^5+ 4x^4+21 and 4x^5+ 3x^4+11
When the closure property of subtraction is applied
(6x^5+ 4x^4+21) - (4x^5+ 3x^4+11)
= 6x^5+ 4x^4+21 - 4x^5- 3x^4-11 → coefficients are changed b/e of subtraction
= 2x^5+ x^4+10
the coefficients are changed because of subtraction.
In Polynomials the sign is changed due to subtraction and same degree terms ( like terms) are subtracted to get the answer.
The fifth degree polynomial is 6x^5- 3x^3+ 21.
Closure property of the polynomial subtraction
(6x^5+ 4x^4+21) - (4x^5+ 3x^4+11)= 2x^5+ x^4+10
We have given that the degree of the polynomial is the highest power of the terms of the polynomial.
What is the sanderd form of the polynomial?[tex]P(x)=a_nx^n+a_n-1x^n-1..........a_1x+a_0[/tex]
This is the polynomial of n degree because the heighest power is n.
We need a polynomial of 5th degree
Therefore,the highest power will be 5.
6x^5+ 4x^4+ 3x^3+ 5x^2+ x+21
But this polynomial has 5 terms. We need a 5th degree polynomial with three terms so it can be any one of the following
the coefficient of the absent term will be 0.
6x^5- 3x^3+ 21
here the coefficient of x^4 and x^2 and the term x will be 0 therefore it has three term.
6x^5+ 4x^4+21
6x^5+ 5x^2+21
6x^5 + x+21
All of th above polynomials are in the standard form because the powers of the terms are given in decreasing order.
The first term has the highest power and so on.
Part B: Suppose we have 2 polynomials
6x^5+ 4x^4+21 and 4x^5+ 3x^4+11
When the closure property of subtraction is applied
(6x^5+ 4x^4+21) - (4x^5+ 3x^4+11)
= 6x^5+ 4x^4+21 - 4x^5- 3x^4-11
coefficients are changed b/e of subtraction
= 2x^5+ x^4+10
Only the coefficients are changed and degree is same because of subtraction.
to subtraction and same degree terms
In Polynomials the sign is changed due to subtraction and like terms are subtracted to get the answer.
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Someone please help
Please
Please
Please
Answer:
need more information
Step-by-step explanation:
all you told us is what's happening in this picture. that's why you cant get help.
image above!
question- What is the measure above?
A)90 degrees
B)45 degrees
C)135 degrees
D)115 degrees
pls help and i will reward brainliest
Answer:
$10
Step-by-step explanation:
Step-by-step explanation:
I think it is 20 to represent 2000 and and 10 to represent 1999 can you see that they are marching in an order 10 20 30 40 50 60 but if I'm wrong please tell me this is just a cooked method I think it is $20 hope it helps.
Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions
Answer:
C
Step-by-step explanation:
A. [tex]\frac{20-5}{(-2)-(-1)} = \frac{15}{-1} = -15[/tex]
[tex]\frac{5-0}{(-1)-0} = \frac{-5}{1} = -5[/tex]
NOT LINEAR
B. [tex]\frac{(-6)-1}{(-2)-(-1)} = \frac{-7}{-1} = 7[/tex]
[tex]\frac{1-2}{(-1)-0} = \frac{-1}{-1} = 1[/tex]
NOT LINEAR
C. [tex]\frac{9.4-6.2}{(-2)-(-1)} = \frac{3.2}{1} = -3.2[/tex]
[tex]\frac{6.2-3}{(-1)-0} = \frac{3.2}{-1} = -3.2[/tex]
[tex]\frac{3-(-0.2)}{0-1} = \frac{3.2}{-1} = -3.2[/tex]
LINEAR
Jaime says that the value of -1 x n is always equal to the value of n = (-1) for all
values of n.
Explain whether Jaime is correct or incorrect.
Which equation can be used to solve for x in the following diagram?
Answer:
D
Step-by-step explanation:
The two angles are equal to 180 degrees
I'll give brainliest answer plzz help me
Answer:
Maybe the 20-x/20 part is wrong. Maybe it's 10-x/10?
Step-by-step explanation:
I'm sorry I dont really know so I hope this helps you!
Find the circumference of the pizza to the nearest hundredth.
18 in.
Answer:
124.59
Step-by-step explanation:
The third digit of right of decimal point is 6
The second digit after decimal point is 8 which is greater than 5
So add 1 to 8
124.59
I maybe wrong! I wish you luck!
A cone has radius 3 and height 4. Your classmate calculates its surface area as shown:
Explain your classmate's error.
S. A. = pi(5)^2 + pi(3)^2 = 25pi + 9pi = 3pi
Answer:
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = 47.1 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of cone = 3 unit
Height of cone = 4 unit
Find:
Lateral surface area of cone
Computation:
Slant height of cone = √Radius² + Height²
Slant height of cone = √3² + 4²
Slant height of cone = √9 + 16
Slant height of cone = √25
Slant height of cone = 5 unit
Lateral surface area of cone = πrl
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = (3.14)(15)
Lateral surface area of cone = 47.1 unit² (Approx.)
please answer correctly. i will give brainliest!!
I'm pretty sure its just the last 3
find the value of x. x³=8
Answer:
x = 2
Step-by-step explanation:
x^3 = 8
(2)^3 = 8
2 * 2 * 2 = 8
x = 2
Answer:
the value of x is 2
hope it helps
stay safe healthy and happy.Greg and Justin went for a bike ride through a park. They started their ride near the pond at 2:47. They rode until they reached the soccer field 21 minutes later. What time was it when Greg and Justin reached the soccer field? 3:08 9:52 3:52 3:18 Submit
Answer: 3:08
Step-by-step explanation:
They started riding at 2:47 and reached the soccer field 21 minutes later.
The time they go to the field is therefore:
= 2:47 + 21 minutes
= 3:08
Adding time:
First find out the number of minutes needed to take 2:47 to 3:00:
= 60 minutes in an hour - 47
= 13 minutes
Then remove the 13 minutes from the 21 minutes of riding:
= 21 - 13
= 8 minutes
Add this 8 to 3:00:
= 3 + 8
= 3:08
A trapezoid has of parallel sides
Answer:
True
Step-by-step explanation:
False. A trapezoid has one pair of parallel sides, not two pairs.
A trapezoid has only one pair of parallel sides.
The definition of a trapezoid states that it is a quadrilateral with exactly one pair of parallel sides.
The non-parallel sides of a trapezoid are called legs, and the parallel sides are referred to as the bases.
So, a trapezoid can have two pairs of sides that are parallel to each other, but only one of those pairs is considered as the bases.
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True or False: A trapezoid has two pairs of parallel sides. Explain your answer.
Suppose that 21 inches of wire costs 84 cents.
At the same rate, how much in cents) will 47 inches of wire cost?
Answer:
44 cents
Step-by-step explanation:
First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho
FIND THE VOLUME ILL GIVE BRAINLIEST
1454.13 ( the 3 is infinite) mm^3
Step-by-step explanation:
1/3 × 13.3 × 16 × 20.5 = 1454.13 ( the 3 is infinite, I don't know how to put a line over a number on here)
I hope this helps, have a good day!
At age 23, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits $75 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
Answer:
The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.
Step-by-step explanation:
In order to solve this problem, we can make use of the following formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
Where:
FV= Future value of the ira
PMT= the amount of money you deposit each month
i= is the interest rate per period
n=number of periods
in this case we will assume the interest will be compounded each month.
So:
FV this is what we need to know.
PMT= $75 the amount he will deposit each month
t = 42 years,
this is 65-23=42
n=42 years * 12 months/year = 504 months
i=0.07/12
So we can now use the given formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]
So we get:
FV=$228,278.05
which is the amount of money he will have after 42 years.
In total, he deposited:
$75*504months = $37,800
so he will have:
[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.
How to find the height of the cylinder without volume
determine the equation of the line which has a graident 4 passing through (3,-2)
Alyssa emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes ( d) and nickels ( n) that totaled $11.65. One of the constraints that would be used to determine how many dimes and how many nickels Alyssa had in her change jar is n+d=147 and the other is ___n + ___d = 11.65.
four time two times the number is as thrice more the number
Answer:
Equation = 4(2x) = 3x
Step-by-step explanation:
Form the equation
4(2x) = 3x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
write the slop -intercept form of rhe equation of the line passing through (-2-2) with slope -2/3
Juan mesura 1,75m y proyecta , en un momento dado , una sombra de 1,4m . Calcula la sombra que proyecta en este instante una farola de 4m de altura
Answer:
5m
Step-by-step explanation:
Calculamos usando la fórmula de la proporción
Sombra / Altura
Deje que la altura de la luz de la calle = x
1,4 m / 1,75 m = 4 m / x
Multiplicar cruzada
1,4 × x = 1,75 × 4
Dividir ambos lados por 1.4
x = 1,75 × 4 / 1,4
x = 5
Por lo tanto, la altura de la farola es de 5 m.
A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determine the number of minutes, m, of calls made if the bill for one month is $30.
Answer:
y = 0.20m + 10, 100 minutes
Step-by-step explanation:
Equation: y = mx + b
Fill it in.
m = slope = 0.20
b = y-intercept = 10
y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)
y = 0.20m + 10
Fill in.
30 = 0.20m + 10
Solve.
20 = 0.20m
100 = m
She was on the phone for 100 minutes.
What is the exact side length of a cube that
has a volume of 10 cubic units?
Answer:
[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]
Answer:
2.1544 units
Step-by-step explanation:
This side length can be found by finding the third root of the cube:
side length = {10 units^3}^{1/3) = 2.1544 units
Note: as a check we can cube this result: 2.1544^3 = 10
RuiFeng is twice as old as Raj and Khairul is 7 years younger than RuiFeng. If the sum of their ages is 38 years, find their respective ages?
Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs
Step-by-step explanation:
Joseph's workshop is 12 feet by 7 feet. If the drawing of the workshop has a scale of 1inch = 2 feet, what are the dimensions of the drawing? (enter your answer with a comma separating the two numbers)
Answer:
6, 3.5.
Step-by-step explanation:
Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.
help 5 ratee????????????
A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters. What is the value of B?
Answer:
The answer is 14 meters
Step-by-step explanation:
duhhhhhhhhhhhhhhh
Answer:
the answer is 7m2
Step-by-step explanation:
4/2 = 2
2* 3.5 = 7m2
I hope this will help you!!
Find the measure of the
indicated angle
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
Simple algebra 1, one question about linear functions
Answer:
B
Step-by-step explanation:
I'm pretty sure it's because it tells you the rate of each year it depreciates. Let me know if it's right or wrong.