which of the following shows the polynomial below written in descending order?
Answers
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
Related Questions
use the bionomial theorem to write the binomial expansion
[tex]( \frac{1}{2}x + 3y) ^{4} [/tex]
Answers
Answer:
[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]
Step-by-step explanation:
[tex]$\left(\frac{1}{2}x+3y \right)^4=\left(\frac{x}{2}+3y \right)^4\\$[/tex]
Binomial Expansion Formula:
[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex], also [tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
We have to solve [tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\sum_{k=0}^{4} \binom{4}{k} \left(3 y\right)^{4-k} \left(\frac{x}{2}\right)^k$[/tex]
Now we should calculate for [tex]k=0, k=1, k=2, k=3 \text{ and } k =4;[/tex]
First, for [tex]k=0[/tex]
[tex]$\binom{4}{0} \left(3 y\right)^{4-0} \left(\frac{x}{2}\right)^{0}=\frac{4!}{(4-0)! 0!}\left(3 y\right)^{4} \left(\frac{x}{2}\right)^{0}=\frac{4!}{4!}(81y^4)\cdot 1 =81 y^{4}$[/tex]
It is the same procedure for the other:
For [tex]k=1[/tex]
[tex]$\binom{4}{1} \left(3 y\right)^{4-1} \left(\frac{x}{2}\right)^{1}=54 x y^{3}$[/tex]
For [tex]k=2[/tex]
[tex]$\binom{4}{2} \left(3 y\right)^{4-2} \left(\frac{x}{2}\right)^{2}=\frac{27}{2} x^{2} y^{2}$[/tex]
For [tex]k=3[/tex]
[tex]$\binom{4}{3} \left(3 y\right)^{4-3} \left(\frac{x}{2}\right)^{3}=\frac{3}{2} x^{3} y$[/tex]
For [tex]k=4[/tex]
[tex]$\binom{4}{4} \left(3 y\right)^{4-4} \left(\frac{x}{2}\right)^{4}=\frac{x^{4}}{16}$[/tex]
You can perform the calculations, I will not type everything.
The answer is the sum of elements calculated.
Just organizing:
[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]
Answer: [tex]\bold{\dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4}[/tex]
Step-by-step explanation:
Binomial Tree
n=0 1
n=1 1 1
n=2 1 2 1
n=3 1 3 3 1
n=4 1 4 6 4 1
Using the Binomial Theorem
[tex]\bigg(\dfrac{1}{2}x+3y\bigg)^4\\\\\\=1\bigg(\dfrac{1}{2}x\bigg)^4(3y)^0\quad \rightarrow \quad \dfrac{1}{16}x^4\\\\+4\bigg(\dfrac{1}{2}x\bigg)^3(3y)^1\quad \rightarrow \quad \dfrac{3}{2}x^3y\\\\+6\bigg(\dfrac{1}{2}x\bigg)^2(3y)^2\quad \rightarrow \quad \dfrac{27}{2}x^2y^2\\\\+4\bigg(\dfrac{1}{2}x\bigg)^1(3y)^3\quad \rightarrow \quad 54xy^3\\\\+1\bigg(\dfrac{1}{2}x\bigg)^0(3y)^4\quad \rightarrow \quad 81y^4[/tex]
______________________
[tex]= \dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4[/tex]
3. In the polygon below, what kind of
angle is P?
A Acute
B Obtuse
C Right
D Straight
Answers
Answer:a
Step-by-step explanation:
explain how to solve 2x+9=15
Answers
Answer:
I hope it will help you :)
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
Answers
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answers
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
Having some problems with this
Answers
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
In the diagram below, AB is parallel to CD. What is the value of x?
Answers
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °
Answers
Answer:
y is equal to 50 degrees.
Step-by-step explanation:
The sum of the angles of a triangle is always 180 degrees. To find what y is, subtract 80 from 180 and divide the difference by 2. This will give you 50 degrees.
Answer:
y= 50°
Step-by-step explanation:
∠A =∠B = y. So, ΔABC is an isosceles triangle.
Sum of angles of triangle = 180
∠A + ∠B + ∠C = 180
y + y + 80 = 180 {add like terms}
2y + 80 = 180 {Subtract 80 from both sides}
2y + 80 - 80 = 180 - 80
2y = 100 {divide both sides by 2}
2y/2 = 100/2
y= 50°
Which set of angle measures could be the interior angles of a triangle? Explain why 1) 90°, 90°,90° 2)80°,80°,200° 3)40°,50°,60° 4)15°,30°,135°
Answers
Answer: option 4) 15°, 30°, 135°
Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always
Answer:
4) 15°,30°,135°
Step-by-step explanation:
The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.
Answer #4 is correct because 15 + 30 + 135 = 180.
An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?
Answers
Answer:
hope it will help uh.....
A Rosa le gusta jugar con su primo Eduardo utilizando números. Rosa le planteó encontrar dos números que sumados den 15 y que el doble de uno de ellos sea igual al otro más 3 unidades, ¿De qué números se trata?
Answers
Answer:
Los números son 6 y 9
Step-by-step explanation:
Este problema se puede resolver por medio de un sistema de ecuaciones.
El primer número será x y el segundo número será y.
Sabemos que los dos números suman 15, por lo tanto esto se puede escribir como:
[tex]x+y=15[/tex]
Por otro lado sabemos que el doble de uno de ellos es igual al otro más 3 unidades, esto lo podemos escribir de la siguiente manera:
[tex]2x=y+3[/tex] (el doble del primero es igual al segundo más 3)
Reescribiendo esta segunda ecuación tenemos:
[tex]2x-y=3[/tex]
Por lo tanto, nuestras dos ecuaciones son:
[tex]x+y=15\\2x-y=3[/tex]
Resolviendo el sistema por el método de reducción observamos que, si sumamos ambas ecuaciones, las y se cancelan y quedamos con:
[tex]3x=18\\x=6[/tex]
Ahora, sustituimos este valor en la primera ecuación para obtener el valor de y:
[tex]x+y=15\\6+y=15\\y=15-6\\y=9[/tex]
Por lo tanto, los números son 6 y 9
Por medio de un sistema de ecuaciones, hay qué los números son 6 y 9.
Los números son desconocidos, por lo tanto, llaremos un de x, otro de y.Los números sumados den 15, o sea:
[tex]x + y = 15[/tex]
El doble de uno de ellos sea igual al otro más 3 unidades, o sea:
[tex]2x = y + 3[/tex]
[tex]y = 2x - 3[/tex]
Reemplazando en la primera ecuación:
[tex]x + y = 15[/tex]
[tex]x + 2x - 3 = 15[/tex]
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3}[/tex]
[tex]x = 6[/tex]
[tex]y = 2x - 3 = 2(6) - 3 = 12 - 3 = 9[/tex]
Los números son 6 y 9.
Un problema similar es dado en https://brainly.com/question/24646137
An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answers
Answer:
it is 13093 i got it correct
What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1
Answers
Let us take the 2nd equation.
x + 2z = 4
x = 4 - 2z
Let us substitute this value of x in equation 1.
5x + 2y + z = 4
5(4-2z) + 2y + z = 4
20 - 10z + 2y + z = 4
2y - 9z + 20 = 4
2y = 9z - 16
y = (9z - 16)/2
Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.
2x + y - z = -1
2(4-2z) + (9z-16)/2 + z = -1
8 - 4z + (9z/2) - 8 + z = -1
Let us multiply both sides of this equation by 2.
16 - 8z + 9z - 16 + 2z = -2
3z = -2
z = [tex]\frac{-2}{3}[/tex]
x = 4 - 2z
= 4 + [tex]\frac{4}{3}[/tex]
= [tex]\frac{16}{3}[/tex]
y = (9z-16)/2
= ([tex]\frac{-18}{3}[/tex] - 16)/2
= ( [tex]\frac{-66}{3}[/tex])/2
= -22/2
= -11
Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].
A top view of two walls of a room is represented by the x and y-axis, with units in meters. A ball is rolled from the point (0,15). It hits the adjacent wall at (20,0). Find the absolute value function that models the path of the ball. Determine when the ball passes within 3 meters of the wall represented by the x-axis.
Answers
Answer:
The absolute value function that models the path of the ball is
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]
Step-by-step explanation:
Given that the ball rolls without other external influences, we have;
(y - 0) = (x - 15)
The slope, m is give by the relation;
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 0)/(0-20) = -3/4
The equation of the path of the ball in slope and intercept form is presented as follows;
y = m·x + c
15 = -3/4 ×0 + c = 15
c = 15
The absolute value function that models the path of the ball is then;
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The vale of the function when x = 3 is given by the relation
[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]
Therefore, we have the coordinates as [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].
A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance
Answers
Answer:
average speed = 8y/s
Step-by-step explanation:
What is the player's average speed over this distance ?Formula
s = d/t
d = 40 yards
t = 5 seconds
s = 40y/5s
= 8y/s
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answers
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answers
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.
Calculate the rate that the water is draining out of the pool. (Hint: remember this line is sloping down to the right)
Answers
Answer:
900L per minute
Step-by-step explanation:
1- 70 - 20 = 50
2- in this 50 min the 45000L has been drawned
3- 45000L / 50 = 900L
.. ..
If the number of bacteria in a colony doubles every 10 hours and there is currently a population of 300 bacteria, what will the population be 20 hours from now?
Answers
Answer:
1200 bacteria
Step-by-step explanation:
20 hours divided by 10 hours = 2, so it will be doubled two times.
300 times 2 for the first doubling = 600
600 times 2 for the second doubling = 1200
Can someone help me out with this please
Answers
Answer:
143.81
Step-by-step explanation:
Trapezoid Area
A = 2b/2 * h
A = 9 + 23/2 * 7
A = 32/2 * 7
A = 16 * 7
A = 112
Semi-circle Area
A = πr²/2
A = π4.5²/2
A = π20.25/2
A = 63.62/2
A = 38.81
Total Area
112 + 38.81
143.81
here are the ingredients for making pineapple sorbet for 6 people. 800 g pineapple 4 egg whites 1/2 lemon 100 g caster sugar Dan makes pineapple sorbet. he uses 2 and a 1/2 lemons How many people does he make pineapple sorbet for?
Answers
Answer:
30 people
Step-by-step explanation:
If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.
A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?
Answers
Answer:
children take 3 pieces of candy are 6
Step-by-step explanation:
x+y=19-1 x+y=18
3x+5y=85-7 3x+5y=78
eliminate x by multiplying the first equation by 3:
3x+3y=54
3x+5y=85 subtract
(3x+3y)-(3x+6y)=54-78
3x-3y-3x-5y=-24
-2y=-24 y=-24/-2=12
y=12 , substitute for y:
x+y=18
x=18-12
x=6
check: 3x+5y=78
3(6)+5(12)=78
18+60=78 correct
I need help with this problem ASAP please i have until tmrw to finish my course entirely so if anyone can help it would be greatly appreciated
Answers
Answer:
Equation: f(x) = -x² + 3
Step-by-step explanation:
If we want to find the roots/solve for x, we can either graph the problem or use quadratic formula to find when f(x) = 0:
To get the equation of the graph, our parent function is: f(x) = a(x - h)² + k, or f(x) = x². Since we are reflecting over the x-axis with a vertical stretch and vertically moving up to (0, 3), we are modifying a and k only.
the total surface area of a cube is 294cm2. work out the volume of the cube.
Answers
Answer: 343 cm³
Step-by-step explanation:
The surface area of a cube is 6s^2, where s is the side length of a square. Thus, first do 294/6 to get 49. Then take the square root of 49 to get that each side of the cube is 7. The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3
Hope it helps <3
Answer:
V =343 cm^3
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
294 = 6s^2
Divide by 6
294 / 6 = s^2
49 = s^2
Take the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
The volume of a cube is
V = s^3
V = 7^3
V =343 cm^3
There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take at random two pens from the box the probability that sheila will take two pens of the same color is 17/35 work out two different numbers of green pens that could be in the box
Answers
Answer: 6 or 9
Step-by-step explanation:
Given the following :
Let the number of green pens = x
Number of red pens = x + 3
Probability of picking same color = 17/35
Taking two pens at random; probability of picking two pens of same color.
Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick
Probability = (Required outcome / Total possible outcomes)
Total number of pens = x + x + 3 = 2x + 3
Probability of picking red then red:
P(red first) = (x+3)/2x+3
P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)
Therefore, probability of red then red =
(x+3)/(2x+3) × (x+2)/2x+2)
= (x+3)(x+2) / (2x+3)(2x+2)
Probability of green then green:
P(first green) = x/(2x+3)
P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)
P(green then green) = x(x-1)/(2x+3)(2x+2)
Therefore,
[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35
(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35
Cross multiply :
35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)
35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)
70x^2 + 140x + 210 = 68x^2 + 170x + 102
70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0
2x^2 - 30x + 108 = 0
Now we have a quadratic equation which can be factoeized used using any known factorization method.
Factorizing this, we get
(x-6) = 0 or (x-9) = 0
x = 6 or x = 9
At the deli, Alberto paid $24.33 for 7.4
pounds of sliced ham. What was the
price of one pound of sliced ham?
Answers
Answer:
About $3.28
Step-by-step explanation:
Divide 24.33 by 7.4
Answer:
3.28783783784...
Step-by-step explanation:
You're description could turn into 24.33 : 7.4.
You turn 7.4 into 1, and divide 7.4 / 1.
(It is 7.4)
Then, you divide 24.33 / 7.4.
It is 3.28783783784.......
or, If you want you're answer close to an natural number, It is 3.
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Answers
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats
ANSWER
Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3
Answers
The scale factor of the dilation shown in the diagram 2.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The image and pre image are shown in figure.
Now, We know that;
The basic formula to find the scale factor of a dilated figure is,
⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Substitute the given values, we get;
⇒ Scale factor = 6 / 3
⇒ Scale factor = 2
Thus, The scale factor of the dilation shown in the diagram 2.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
Answer:1/2
Step-by-step explanation:
got it right on edge
need help with this question, i dont think its hard for you.
Answers
So I just did 2(3x+5) since theres 2 sides the same. Since we know what the equations are for all three sides, we add them together and set it equal to 97. Then we solve for x. Look at my picture for the work.
As you can see, we get x= 9
The question is looking for the base so you plug in 9 into the base. 3(9)+5 which we get 32.
Final answer: 32cm
Please let me know if this helped!! Or rate it the brainlist