What is the completely factored form of this polynomial (selected answer is wrong)
Answers
Answer: Option D.
Step-by-step explanation:
A straightforward way to solve this type of problems is to expand all the options and see which one fits the desired one.
First let's see which options we can discard.
The original polynomial is:
p(x) = 2*x^5 + 12*x^3 - 54*x
So the degree of this polynomial is 5.
We can see that in option B we have only 3 "x", then the degree of this polynomial will be 3, then this option can be discarded.
Now let's try with the other 3 options:
A) = 2*x*(x^2 - 3)*(x + 9)*(x - 9)
= 2*x*(x^2 - 3)*(x^2 - 81)
= (2*x^3 - 6*x)*(x^2 - 81)
= 2*x^5 - (2*x^3)*81 - 6*x^3 + 6*x*81
= 2*x^5 -168*x^3 + 486*x
We can see that the second and third coefficients are different than the ones we wanted, so this is not the correct option.
Now let's try option D.
D) = 2*x*(x^2 - 3)*(x^2 + 9)
= 2*x*(x^4 - 3*x^2 + 9*x^2 - 27) = 2*x*(x^4 + 6*x^2 - 27)
= 2*x^5 + 2*6*x^3 - (27)*2x
= 2*x^5 + 12*x^3 - 54*x
This is exactly what we wanted, so we can conclude that the correct option is D.
Related Questions
CALCULUS: Determine which function is a solution to the differential equation y ' − y = 0.
A. e^2
B. x
C. None of these
Please explain & thank you!
Answers
C: none of these are solutions to the given equation.
• If y(x) = e², then y is constant and y' = 0. Then y' - y = -e² ≠ 0.
• If y(x) = x, then y' = 1, but y' - y = 1 - x ≠ 0.
The actual solution is easy to find, since this equation is separable.
y' - y = 0
dy/dx = y
dy/y = dx
∫ dy/y = ∫ dx
ln|y| = x + C
y = exp(x + C )
y = C exp(x) = C eˣ
Find the circumference of a button if its radius is 15 mm
Answers
Answer:
94.25mm
........................
Answer:
94.25 mm
Step-by-step explanation:
The circumfrence of a cirlce can be found using the following formula:
C = 2 x PI x R
Circumfrence = 2 x 3.14 x 15
= 94.25
the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?
2. About what percentage of bags weigh less than 49.8 lb?
3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4?
Answers
9514 1404 393
Answer:
68%16%2.5%Step-by-step explanation:
1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.
__
2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.
__
3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.
_____
Additional comment
It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)
besties help thanks <3
Answers
Answer:
2 = 70
4 = 140
6 = 210
8 = 280
Step-by-step explanation:
Need ASAP in 10 min pls
Elizabeth is making snacks for her classmates. There are two cups of raisins in one batch. For every batch 2 cups of raisins, Elizabeth adds 4 cups of oats. How many cups of oats will she need if she has 10 cups of raisins. Make a table and create a rule.
Answers
What are the steps I need to solve this problem? 2x + 5 = 21
Answers
Step-by-step explanation:
subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5
1. Laura buys a pack of 24 blueberry muffins that has a total
of 1,536 calories. What is her calorie intake, if she ate 3
muffins for breakfast?
Answers
1536/24 = 64
64 x 3 = 192
Answer:
192
Step-by-step explanation:
you have divide 24 by 3 and once you get that you get 8 then you do the amount of calories divide by 8
Help fast I need the right answer
Answers
Answer:
Y=MC+X
Step-by-step explanation:
An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an
angle of elevation of 50 degree. Find the height above the ground.
Answers
Answer:
The height is 14.3 km
Step-by-step explanation:
Given
[tex]distance= 12km[/tex]
[tex]\theta= 50[/tex] --- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:
[tex]tan(\theta) = \frac{AB}{BC}[/tex]
Where AB represents the height and BC, the distance.
So:
[tex]tan(50) = \frac{AB}{12}[/tex]
Make AB the subject
[tex]AB = 12 * tan(50)[/tex]
[tex]AB = 12 * 1.1918[/tex]
[tex]AB = 14.3016[/tex]
[tex]AB = 14.3km[/tex] --- approximated
The height of the airplane above the ground is 9.19 km.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the airplane above the ground. Hence:
sin(50) = h / 12
h = 9.19 km
The height of the airplane above the ground is 9.19 km.
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitchell has left.
ASAP ill give brainliest
Answers
$40-$5-$15=$20
he has a total of $20 left
mark brainliest
What is a scale and list two types of scale
Answers
Answer:
15 m. 30m
Step-by-step explanation:
there are two type
whats the simplest form for 9/18
Answers
Answer:
1/2 is the simplest form for 9/18
Step-by-step explanation:
Answer:
It’s 1/2
Step-by-step explanation:
Cuz if u divide 9 & 18 by 9 u get 1/2
Answer each question
Choose if growth or decay where indicated
Answers
Answer:
idek i just wqant fr
Step-by-step explanation:
Tom sold half of his comic books and then bought 8 more. He now has
18. How many did he begin with?
Answers
Answer:
20
Step-by-step explanation:
18 - 8 = 10
10 x 2 = 20
check:
20 divided by 2 = 10
10 + 8 = 18
answer: 20
4-сынып 106бет
Өзін өзі тану
Answers
Answer: И что делать с этим?
Step-by-step explanation:
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answers
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
NEED ANSWER QUICK!!
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
88°
89°
91°
92°
Answers
9514 1404 393
Answer:
(c) 91°
Step-by-step explanation:
Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:
angle 4 = 180° -89°
angle 4 = 91°
Answer:
91°
Step-by-step explanation:
Someone please help me and thank you:)
Answers
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
Answers
Bell Lah-Lah she will do
34,977 ×2,344 is even are odd number
Answers
Answer:
The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.
Step-by-step explanation:
Change 79/3 into a mixed number
Answers
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
need help understanding this question
Answers
Answer:
-9<x≤2
Step-by-step explanation:
The domain is the x values
If we look at the line, we see a closed circle when x=2, so x is less than or equal to 2
The other circle is open and is at -9, so x is greater than -9
-9<x≤2
Lemme know if u need more explanation!
helpppppp ill give brainliest answer if you know
Answers
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
What is a negative number minus a negative number?
Answers
Answer:
[tex]-x-(-y) = y-x[/tex]
Step-by-step explanation:
lets say you have two negative numbers, -x and -y (x and y are positive).
[tex]-x-(-y) = y-x[/tex]
Your answer is a positive number.
The hockey team won 60 out of the 80 games it played this year. What percent of the games did the team win?
Answers
help and i give points
Answers
Answer:
Red flowers:
fraction: [tex]\frac{40}{100}[/tex]
decimal : 0.40
percent : 40%
ratio: 40:100
Orange flowers:
fraction: [tex]\frac{6}{100}[/tex]
decimal: 0.06
percent: 6%
ration: 6:100
Purple flowers:
fraction: [tex]\frac{47}{100}[/tex]
decimal: 0.47
percent: 47%
ratio: 47:100
Green flowers:
fraction: [tex]\frac{7}{100}[/tex]
decimal: 0.07
percent: 7%
ratio: 7:100
6th grade math I mark as brainliest
Answers
Answer:
a
Step-by-step explanation:
The is answer is there are 3 baseball bats to 4 baseballs. The final answer is 3:4
convertir 5000 cm a km
Answers
Answer:
0.05 kilometer is the answer
Step-by-step explanation:
hope this answer may help you
Help with this please, picture above ^
Answers
Answer:
y = -3x -2
Step-by-step explanation:
parallel lines have same slope
line d: slope (m) = -3
y intercept (b) = -2
equation y = mx + b y = -3x -2
what is
6 over 9
and
11 over 88
Answers
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D