HELP ASAP Which expression is equivalent to this polynomial expression?
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
choices in picture
Answers
Answer:
B, if you have any questions how I did anything, or questions in general, let me know.
Step-by-step explanation:
First you want to make sure you understand distributing. Just using variables I will show how to districute a similar expression.
(a - b)(c + d - e)
There are several ways to think of it. you could treat (a-b) as one term and distribute it into c + d - e like this. pretend (a- b) = x
x(c + d - e) = cx + dx - ex = c(a-b) + d(a-b) - e(a-b)
Then just do a bit more distributing, then combine like terms.
You could instead make (c + d - e) a single term and distribute that into (a-b)
I prefer doing it all in one step, similar to FOIL-ing. Take the first term of one of the expression in parenthesis and distribute it, then move on to the second and so on.
so with (a - b)(c + d - e) I would start with a and distribute that into (c + d - e) and get ac + ad - ae then do the same to -b and get -bc - bd + be then you add the two parts together. ac + ad - ae + -bc - bd + be = ac + ad - ae -bc - bd + be. Then you would combine like terms. Let me know if you need help with that.
Anyway, now for your problem. Keep in mind you can use any of the methods.
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
First distribute 2x^2 into (4x^4 + 6x^2y^2 + 9y^4)
8x^6 + 12x^4y^2 + 18x^2y^4
Next distribute -3y^2 into (4x^4 + 6x^2y^2 + 9y^4)
-12x^4y^2 - 18x^2y^4 - 27y^6
Now add the two together.
8x^6 + 12x^4y^2 + 18x^2y^4 + -12x^4y^2 - 18x^2y^4 - 27y^6 = 8x^6 + 12x^4y^2 + 18x^2y^4 - 12x^4y^2 - 18x^2y^4 - 27y^6
Finally combine like terms.
12x^4y^2 - 12x^4y^2 = 0
18x^2y^4 - 18x^2y^4 = 0
So that leaves us with 8x^6 - 27y^6
B is the only answer that works, none of the other 3 can be simplified or adjusted to make them equal what we need, so B is the only right answer.
If you have any questions though let me know.
Related Questions
What are the rational roots of f(d) = 5d - 6 + d-8?
Answers
6d - 14 = 0
6d = 14
d = 14/6
d = 2 and a third
What is the difference of the rational expressions blow 4x/9 - 2x/9
Answers
Step-by-step explanation:
answer in the photo above look
Which of the following values are in the range of the function graphed below?
Check all that apply.
Answers
Answer:
D. -4
Step-by-step explanation:
the only graph I see is a red line in a coordinate grid.
this red line represents the function y = -4, for x in the interval [-1,4].
so, [-1,4] is the domain of the function, and [-4] is the range of the function.
when the question asks about what values are graphed below, and it mentions "range", I assume it means functional values (results of the function).
the only function I can see is the mentioned constant function y=-4, so that -4 is the only functional value (the only value in the range of the function) in this graphic.
a. Trong mặt phẳng Oxy , phép quay mỗi vector quanh gốc tọa độ một góc α ngược chiều kim đồng hồ là một ánh xạ tuyến tính . Hãy tìm ma trận biểu diễn và biểu thức của phép quay trên. Áp dụng: Cho tam giác MNP gồm các đỉnh (1,1) M , (1,2) N , (3,3) P hãy tìm ảnh của tam giác MNP qua phép quay nói trên, biết góc quay là / 4 α = π và vẽ hình biểu diễn.
b. Trình bày một ứng dụng của môn học này
Answers
Answer:
a
Step-by-step explanation:
For the matrices below. Find all (real) eigenvalues.
A= [7 9]
[0 9]
Answers
Answer:
The answer is "9 and 7".
Step-by-step explanation:
Given:
[tex]A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right][/tex]
Using formula:
[tex]|A-\lambda \cdot I|= 0\\\\[/tex]
[tex]\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\[/tex]
[tex]\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\[/tex]
Stats question what are the main difference between frequenting and Bayesian
Answers
Answer:
The frequentist believes that probability represents long term frequencies of repeatable events (such a flipping a coin). Frequentists do not attach probabilities to hypotheses or unknown values. On the other hand, the Bayesian approach uses probabilities to represent the uncertainty in any event or hypothesis.HOPE IT HELPS
Which percentage is the best estimate for the shaded area under this normal curve?
Answers
=========================================================
Explanation:
It appears that -20 is the mean. It's not entirely clear however. If that assumption is correct, then the distance from -30 to -20 is 10 units. So the left endpoint is 1 standard deviation below the mean (because the standard deviation is 10 units).
Recall that through the empirical rule, roughly 68% of the distribution is within 1 standard deviation of the mean. This cuts in half to 34%. So the area from x = -30 to x = -20 is roughly 0.34
We'll use this value later so let A = 0.34
-------------------
The area under the curve from x = -20 to x = -10 is also 0.34
The area under the curve from x = -20 to x = 0 is 0.95/2 = 0.475
For the second part there, I'm using the idea that 95% of the normal distribution (roughly) is within 2 standard deviations of the mean.
So the area from x = -20 to x = -5 is somewhere between 0.34 and 0.475
Let B = 0.34 and C = 0.475
-------------------
The full shaded blue area is somewhere between A+B = 0.34+0.34 = 0.68 and A+C = 0.34+0.475 = 0.815
Based on that alone, the answer is between B and C.
-------------------
Unfortunately, we can't nail down an actual value unless we use a Z table or a calculator.
When I use a calculator, I'm getting 0.7745 (approximate) which rounds to 0.775 and converts to 77.5%
As for how to get this without a table or calculator, I'm not entirely sure what your teacher wanted you to do.
Which expression is equivalent to (6x2 + 4)(x + 5) ?
A 6x2 + 20
B 6x2 + 16x + 20
C 603 + 30x2 + 4x + 20
D) 6x3 + 11x2 + 3x + 20
Answers
Answer: [tex]6x^3 +30x^2 +4x+20[/tex]
Step-by-step explanation:
[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]
A knight wanted to visit a princess.
He had to arrive at exactly 17h00.
If he travelled at 15 km per hour, he would arrive one hour too early.
If he travelled at 10 km per hour, he would arrive one hour too late.
Questions : 1- At what time did he leave?
2- What distance did he travel?
3- At what speed did he travel?
Answers
Answer:
He had to arrive at 5:00pm
If he traveled at 15km per hour, he would arrive one hour too early
If he traveled at 10km per hour, he would arrive one hour too late.
At what time did he leave, what distance did he travel, and at what speed did he travel
:
Let d = distance traveled
:
Write an time equation; time = dist/speed
Travel time at 10 km/hr - travel time at 15 km/h = 2 hrs
d%2F10 - d%2F15 = 2
Multiply by 30
3d - 2d = 30(2)
d = 60 km is the distance
:
Find the travel time at 15 km/hr
60%2F15 = 4 hrs
:
let s = speed required to get there on time
:
required travel time - 15km/hr travel time = 1
60%2Fs - 4 = 1 hr
60 - 4s = 1s
60 = 1s + 4s
60 = 5s
s = 12 km/hr to arrive on time
:
Required travel time: 60%2F12 = 5 hrs
He would have to leave at noon
;
Summarize, depart at noon, travel for 5 hrs at 12 km/hr, a dist of 60 km
Step-by-step explanation:
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2357 raffle tickets at $5 per ticket.
Required:
a. Kevin bought ten tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean?
b. Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings?
c. How much did Kevin effectively contriute to the Samaritan Center for the Homeless?
Answers
Answer:
A) The probability that Kevin will win the spring break cruise is 0.42%.
B) Kevin's expected earnings are $ 8.4.
C) Kevin effectively contributed with $ 50.
Step-by-step explanation:
Since the college student senate is sponsoring a spring break Caribbean cruise raffle, and the proceeds are to be donated to the Samaritan Center for the Homeless, ya local travel agency donated the cruise, valued at $ 2000, and the students sold 2357 raffle tickets at $ 5 per ticket, to determine A) if Kevin bought ten tickets, what is the probability that Kevin will win the spring break cruise to the Caribbean; B) Kevin's expected earnings and C) how much did Kevin effectively contribute to the Samaritan Center for the Homeless; the following calculation must be performed:
A) 10/2357 = 0.0042 x 100 = 0.42
Therefore, the probability that Kevin will win the spring break cruise is 0.42%.
B) 2000 x 0.0042 = 8.4
Therefore, Kevin's expected earnings are $ 8.4.
C) 5 x 10 = 50
Kevin effectively contributed with $ 50.
A giant cube-shaped die measures 20 cm on a side. Find the volume of the die.
Answers
Answer:
8,000 cm cubed
Step-by-step explanation:
Volume of a cube = length x width x height
All sides on a cube are the same length
If one is 20 cm, all are.
20x20x20=8,000.
Which set of ordered pairs represent a function? O A {(1,0), (2,1), (2,3)} O B{(1,3), (1,4), (1,5)} O C{(1,5), (2,5), (3,5)} O D{(3, 1), (2, 2), (3, 3)}
Answers
Answer:
C
Step-by-step explanation:
C is the only answer that doesnt share x-values
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4247 employees at the company and wants to conduct a systematic sample of size 40.
Required:
a. What is k?
b. Determine the individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 19. Starting with the first individual selected, the individuals in the survey will be: _________
Answers
Answer:
a). 106
b). See Explanation
Step-by-step explanation:
According to the Question,
Given, The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4247 employees at the company and wants to conduct a systematic sample of size 40.
a). Thus, the Required Value of K is 4247/40 = 106.175 ≈ 106
b). The individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 19. Starting with the first individual selected, the individuals in the survey will be
19(19+106) = 125(125+106) = 231337443549655761867973107911851291139715031609171518211927203321392245235124572563266927752881298730933199330534113517362337293835394140474153A five - question quiz is taken in which the first and second questions have four answer choices, the third and fourth questions have three answer choices,and the last question has five answer choices.If a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly?
A: 0.96
B: 0.27
C: 1.37
D: 1.00
Answers
Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal to twenty-two. Question 7 options: A) 3v + 8 > 22 B) 3v + 8 ≥ 22 C) 3v + 8 ≤ 22 D) 3v + 8 < 22
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]3v + 8 \geq 22[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22[/tex]
[tex]\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What are the values of A, B, C, and D?
A = 0; B = 1; C = -3; D = 3
A = 0; B = 1; C = 3; D = -3
A = 1; B = 0; C = -3; D = 3
A = 1; B = 0; C = 3; D = -3
Don’t know real answer
Answers
The values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
How to solve for A, B, C and D?From the question, we have:
x^3 + 8x - 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D
Collect like terms
x^3 + 8x - 3 = Ax^3 + Bx^2 + 5Ax + Cx + 5B + D
By comparing the coefficients, we have:
Ax^3 = x^3
Bx^2 = 0
5Ax + Cx = 8x
5B + D = -3
Remove the x factors
A = 1
B = 0
5A + C = 8
5B + D = -3
Substitute A = 1 in 5A + C = 8
5(1) + C = 8
Solve for C
C = 3
Substitute B = 0 in 5B + D = -3
5(0) + D = -3
Solve for B
D = -3
Hence, the values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
Read more about partial fractions at:https://brainly.com/question/18958301
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find slope from the pair of points (-5,-4) (5,-1)
Answers
Answer:
3/10
Step-by-step explanation:
If we have two points on a line, we can find the slope using the slope formula
m= ( y2-y1)/(x2-x1)
= ( -1 - -4)/( 5 - -5)
= ( -1 +4)/ ( 5 + 5)
= 3/10
Find an equation for the line perpendicular to y= -4/3x+5 with y-intercept (0,-12). Write the answer in slope-intercept form
Answers
Answer:
y=3/4x−12.
Step-by-step explanation:
Slope of the perpendicular line is negative inverse: m=34.
The equation of the perpendicular line is y=3x4+a.
To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.
a=−12.
Therefore, the equation of the line is y=3x4−12.
If this helps you, please give bainliest!
how much higher is -55 to -172?
Answers
Answer:
117 units higher
Step-by-step explanation:
|-172 + 55| = 172 - 55 = 117
117 units higher
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
30 more then 172
Step-by-step explanation:
I need help ASAP!!!!
Answers
Step-by-step explanation:
Kindly find 4 attached files
The proportionality is determined by the lines that only passes through the origin
And all the lines drawn are passing through the origin
So by either one of the 2 ways
By using rule of direct variation y=kx that has no y intercept
Or by finding the equation of straight line and find the slope with neglecting the y intercept since it's 0
The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
Answers
Answer:
They need to survey 4145 residents.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which [tex]M = 0.02[/tex]. As we have no estimate for the proportion, we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.02})^2[/tex]
[tex]n = 4144.1[/tex]
Rounding up:
They need to survey 4145 residents.
Evan wants to make an array of 32 miniature cars What are all the different ways Evan can place the cars?
Answers
Answer:
1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1
Step-by-step explanation:
There are 6 different ways for Evan to create a array of 32 miniature cars.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
An array would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂.
Since there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
Hence, There are 6 different ways for Evan to create a array of 32 miniature cars.
Learn more about multiplications;
https://brainly.com/question/14059007
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the terminal side of 0 passes through the point (8,-7) what is the exact value of cos 0 in simplified form
Answers
Answer: [tex]\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\[/tex]
=================================================
Work Shown:
x^2+y^2 = r^2
(8)^2+(-7)^2 = r^2
113 = r^2
r = sqrt(113)
The distance from (0,0) to (8,-7) is exactly sqrt(113) units.
This is the exact length of the hypotenuse of the right triangle.
Next, we do the following steps:
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{x}{r}\\\\\cos(\theta) = \frac{8}{\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113}*\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113*113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113^2}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\[/tex]
Side note: cosine is positive in quadrant Q4.
Find f(2) if f(x) = (x + 1).
Answers
Answer:
The awnser should be 3.
Step-by-step explanation:
if f(x) means the same thing as x + 1. Than that means f = 1. So if re write the question. 1 plus 2 equals 3.
12=x/5............................
Answers
Answer:
answer :
12 = x / 5
12 × 5 = x
60 = x
or
x = 60
What is the left-hand limit of this function as x approaches 2? f(x)=x/x-2
Answers
9514 1404 393
Answer:
B. -∞
Step-by-step explanation:
There is a vertical asymptote at x=2. Left of that line, the denominator is negative. As x approaches 2 from the left, the function approaches negative infinity.
Help please which option
Answers
Answer:
Step-by-step explanation:
-1<x<3. I hope it helpful!
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK. Round your answer to nearest tenth if necessary,
Answers
Answer:
JK ≈ 12.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FI}{JM}[/tex] = [tex]\frac{FG}{JK}[/tex] , substitute values
[tex]\frac{59}{26}[/tex] = [tex]\frac{28}{JK}[/tex] ( cross- multiply )
59 JK = 728 ( divide both sides by 59 )
JK ≈ 12.3 ( to the nearest tenth )
please please please help!
Answers
Answer:
h=A-πr²÷2πr
Step-by-step explanation:
M making h subject
A=2πrh+πr²
A-πr²=2πrh
A-πr²÷2πr=h
h=A-πr²÷2πr
4(x+9)=8x-7
Solve for x
Answers
Answer:
x = 10.75
Step-by-step explanation:
4(x+9)=8x-7
Step 1: Distribute the 4 to the x and 9
4 * x = 4x
4 * 9 = 36
We now have 4x + 36 = 8x - 7
Step 2: add 7 to both sides
36 + 7 = 43
-7 + 7 cancels out
We now have 4x + 43 = 8x
Step 3 subtract 4x from both sides
4x - 4x cancels out
8x - 4x = 4x
We now have 4x = 43
step 4 divide both sides by 4
4x / 4 ( the 4s cancel out and we're left with x )
43/4 = 10.75
We're left with x = 10.75