Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
Answers
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Related Questions
I am struggling with my math. help me please
HELP ME!!!!
Answers
Answer: 234
Step-by-step explanation:
Which graph has exactly one y-intercept
Answers
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answers
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
[tex]\sf 4x-15=3[/tex]
Answers
[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
Mark has $360 in his savings account and Trevor has $510 in his savings account. The interest rate is 3%. How
much will each person have in their savings account at the end of 5 years? Show your work.
Answers
Answer:
Mark: 54
Trevor: 765
Step-by-step explanation:
For each, you multiply the amount, time period, and the percentage.
(make sure to turn the percentage to a decimal)
I’m so sorry If my answer is wrong
please help question 20 due on monday
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
What is the slope for this table?
Give an explanation.
Answers
Answer:
the shape of the graph is a vertical straight line. So the angle is 90°
So tan 90° = infinite
Answer: The slope is undefined.
Step-by-step explanation:
The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points. X is not changing even as y goes from -2 to 8. If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o. Rise/Run therefore becomes 10/0. Division by 0 is undefined in math, so the slope is undefined.
This is a straight vertical line going through x = -1. All y's are on this line. Undefined slope.
HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answers
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
Where do I graph them?
Answers
hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life
y=[3/2] x+3.
Pls help me .
Its a graph sum
Answers
Answer:
I'm not sure what the question is. Graph?
Step-by-step explanation:
See graph.
Answer:
352
what r u do
789
why nt coming
why r u nt talking
How to synthetically divide polynomials.
Answers
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answers
Answer:
He needs 132
Step-by-step explanation:
hope it helps
The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
Answers
Answer:
578 cm^2
Step-by-step explanation:
The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and [tex]2\pi \times 4[/tex] (the length of the circumference at the base). Adding them up we get:[tex]\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2[/tex]
Write the equation of line given points (2,3)(-2,-5). write the equation in standard form.
Answers
[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error)
Answers
Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
For more on the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
What is the slope of the line whose equation is 12=4x−6y?
Please and thanks if you decide to answer.
Answers
Answer:
slope =4
Step-by-step explanation:
from, y=mx + c
where m is slope
Answer:
the slope formula is y=mx+b where b is the y intercept and m is the slope we rewrite the equation by subtracting 4x from either side and then dividing both sides by 6 so we have y=-0.6x+2 so m the slope is -0.6
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
Answers
If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1.
From my observations and testing I am quite sure that you are correct
i don't know what this is
Answers
Answer:
Me U Hungry Hungry Me Im Mad Me U Angry Me U Way Mad U Talk Mad Me Angry U:(
Step-by-step explanation:
False
True
Ture
False
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Jill rode her bike for 2/3 hours for 18mph and she walked 2/5 hours with a speed of 5mph. By how much more distance did she ride on the bike, then walked.
Answers
Answer:
30 mph
Step-by-step explanation:
2+3=5+5=10+2=12+18=30
PLEASE HELP ME OUT
I WILL GIVE BRAINLIEST
PERFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING
400mg = _____kg
30 cm = _____ mm
Answers
30 cm = 300 mm
30cm=300mm
1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Answers
Answer:
254 seconds
Step-by-step explanation:
If 1 minute = 60 second
then
60 x 4 = 240 second
then add 14
240 + 14 = 254
Therefore, there are 254 second in 4 minutes and 14 seconds
60•4+14
240+14 = 254
Therefore, there is 254 seconds total.
Feel free to give Brainliest!
100 if u get this right ty have a nice day!
Answers
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
Suppose that you invest $15,000 into a high yield savings account that earns 2.1\% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 8 years? Show your equation. Round your answer to the nearest cent. (5 Points )
Answers
Answer:
$17741.44Step-by-step explanation:
Given:
Investment P = 15000Interest rate r = 2.1% PA or 0.021 PACompound number n = 12 PATime t = 8 yearsFind the total amount:
A = P(1 + r/n)^(rn)A = 15000(1 + 0.021/12)^(8*12) = 17741.44ANSWER PART B
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Liam suggests adding some other cards to Sia's game
Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
ANSWER PART B
How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.
Answers
Answer:
Answer:Back 2
Step-by-step explanation:Blue + Red=-2
Step-by-step explanation:
Prize Pooches charges a flat monthy lee or $22, plus $3.65 per hour. Daring Dogs
charges a flat monthly fee of $25, plus $3.40 per hour. After how many hours of
training, h, will Prize Pooches cost more than Daring Dogs?
A)h < 12
B)h = 12
C)h > 12
D)h> 0.75
Answers
Answer:
C.) H> 12
Step-by-step explanation:
1. At 12 hours Prize pooches has a total of $65.8
at Daring dogs it's rate is also $65.8.
2. Anything greater than 12 hours though, Prize pooches starts to have a higher total.
The product of 6 and the sum of a number and 3 is 60
Answers
Answer:
8(x+3) is the answer
Step-by-step explanation:
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The product of 6 and the sum of a number and 3 is 60.
Let the number be 'x'. Then the equation is written as,
6(x + 3) = 60
Simplify the equation, then the value of the variable 'x' will be calculated as,
6(x + 3) = 60
x + 3 = 60 / 6
x + 3 = 10
x = 10 - 3
x = 3
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Simplify the expression below. −7×4×(−434)
Answers
-28 x -434
12,152
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
answer is 10,029 ft/h if I'm not wrong
Write each pair of quantities as a unit rate.
A) 225 heartbeats in 3 mins
B) $18.70 for 2 tickets.
C)$6.75 for 3 golf balls
D) $78.00 for 8-hour work
Answers
B) $9.35 per ticket
C) 2.25 per golf ball
D) $9.75 per hour
(4/x–3) + (2/x+2) = 0
please I need answers asap
Answers
Answer:
X= 6
Step-by-step explanation:
Answer:
X = 6
Step-by-step explanation:
(4/x - 3) + (2/x + 2) = 0
--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
4+x(−3)+2+x×2=0
--> Add 4 and 2 to get 6.
6+x(−3)+x×2=0
--> Combine x(−3) and x×2 to get −x.
6−x=0
--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.
−x=−6
--> Multiply both sides by −1.
Thus, the answer is X =6
Hope this helps you!
