Use the Rational Root theorem to determine the factors of x^3 - 2x^2 - 13x - 10 given that one factor is (x + 1)
Answers
Answer:
The correct option is;
D. (x - 5)·(x + 2)·(x + 1)
Step-by-step explanation:
The Rational Root theorem is expressed mathematically as follows;
[tex]Possible \ rational \ roots = \dfrac{Factors \ of \ the \ constant \ term}{Factors \ of \ the \ leading \ coefficient}[/tex]
The given polynomial is presented as follows;
x³ - 2·x² - 13·x - 10
A factor of the polynomial = (x + 1)
The factors of the constant term, -10 = -10, -5, -2, -1, 10, 5, 2, and 1
The factors of the leading coefficient, (the coefficient of the variable having the highest degree or power, x³) = 1
Given that (x + 1) is a known factor, the other two factors are either (x + 5) and (x - 2) or (x - 5) and (x + 2)
The option, that combines (x + 1) and the other two factor combination is (x - 5)·(x + 2)·(x + 1)
∴ The solution which meets the condition is (x - 5)·(x + 2)·(x + 1)
We check;
(x - 5)·(x + 2)·(x + 1) = x³ - 2·x² - 13·x - 10
Related Questions
54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg
i need help with this
Answers
Answer:
54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg
Step-by-step explanation:
How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work.
Answers
Answer:
X∈∅
Step-by-step explanation:
4x + 5 = 6(x + 3) - 20 - 2x
distribute the 6
4x+5=6x+18-20-2x
collect like terms
4x+5=4x+18-20
4x+5=4x-2
cancel equal terms
5=-2
statment is false for any value of x
X∈∅
Which number represents the sum of -8 and -i?
8i
-8i
-8-i
-8 + i
Answers
Answer:
c
Step-by-step explanation:
edge
Which table of ordered pairs represents a proportional relationship?A x-2 4 6 у 4 16 36 B x 4 6 8 y 8 -12 -18 C x-3 -5 -7 y 5 3 1 D x-3 -6 -9 y 12 24 36
Answers
9514 1404 393
Answer:
D x-3 -6 -9 y 12 24 36
Step-by-step explanation:
The relationship is proportional when the ratio of y to x is the same for all table entries. In selection D, that ratio is ...
12/-3 = 24/-6 = 36/-9 = -4
Happy Tuesday peeps brainliest and 5 star rating!!!!!!!!!!!!!!!!!
Answers
V=3.14*36*h/3
V=113.04*4/3
V=452.16/3
V=150.72
What is the absolute value of -8.2
Answers
|-8.2| then it becomes 8.2, the only difference it makes is it’s positive now
Alexis is making goodie bags for her birthday party. She has made 12 bags already.
If this is 60% of the total number of goodie bags that Alexis has to make, how many
total goodie bags does Alexis need to make for her party?
Answers
Needs 20 characters
Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there
Answers
If x + 15 = 30, what is the value of 2(x – 5)?
PLEASE ANSWER TODAY!!!
Answers
Answer:
Answer is 20
Step-by-step explanation:
X+15=30
30-15= 15 so that means 15+15=30
2(x-5) X is 15 so 15-5=10 then multiply by 2.
The required value of 2(x – 5) is 20 when the equation is x + 15 = 30.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows
x + 15 = 30
First, we can solve for x by subtracting 15 from both sides of the equation:
x + 15 - 15 = 30 - 15
x = 15
Next, we can substitute this value of x into 2(x – 5):
2(x – 5) = 2(15 – 5)
2(x – 5) = 2(10)
2(x – 5) = 20
Therefore, the value of 2(x – 5) is 20.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
What is the 3rd term of a geometric sequence with a common ratio of 1/3 and a first term of 90
Answers
Answer: 90,30,10
I need helppp pleaseeeeeeeeeeee
Answers
Answer:
what do you need help with
Step-by-step explanation:
A recipe requires 4 cups of milk you can only use 3/4 how many 3/4 cups do you need
Answers
Answer:
You would need 5 3/4 cups of milk.
Step-by-step explanation:
It's right! Brainliest?
what are some equations
Answers
Answer:
It requires of two equations
Step-by-step explanation:
example:
2x +7y = 12
What number is represented by the point plotted on the number line? A horizontal number line from negative 2 to 2, with arrows at each end. Major tick marks are at every 1 unit and the units are labeled below the number line. There are 5 evenly spaced minor tick marks between every 2 major tick marks. Point X is plotted on the third minor tick mark to the right of 1. 12 112 123 212
Answers
Answer:
-7/8
Step-by-step explanation:
The point is located between -1 minus, 1 and 0.
Let's zoom in on this piece of the number line. Each whole is split into eight equal parts, or eighths.
The point is located -7/8.
The question is in the picture
Answers
Answer:
(8,-7)
Step-by-step explanation:
(8,7) flipped on the x is (8,-7)
PLEASE HELP!
what is the distance between points A and B shown in the graph below?
choices:
A: square root of 2
B: square root of 98
C: 10
D: 14
Answers
9. What is the sales tax on an item that costs $67.00 if the state sales tax is 6.5%?
A. $435
B. $4.35
C. $3.35
D. $.45
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. $4.35
Step-by-step explanation:
to find your sales tax you just have to do [cost of the item] x [ percentage as a decimal]= sales tax
so in your case it would be [$67.00] x [0.065] = $4.35
12,10,12,13,9,11,8 mean median and mode
Answers
Answer:
Mean: 10.7
Median: 11
Mode: 12
Hope you find this helpfull:)
Which lizard is growing at a constant rate?
A.Chuck
B.Betty
C.
Snapper
D.Rocky
Answers
Hope this help full to you !
PLEASE ANSWEAR IM FALLING MATH :((( .. Maniah has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $57. When the check comes, it says they also need to pay $4.23 in sales tax. What percentage of the subtotal is the sales tax?
A.
2.41%
B.
0.0742%
C.
4.23%
D.
7.42%
Answers
Answer:
D
Step-by-step explanation:
To find the answer, input this into your calculator
4.23/57 × 100
This gives the percentage of 7.42% (rounded)
hope this helps :)
Please help..Thank you❤️
Answers
Answer:
answer b <3
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
280*(17/100) = 47.6
x cuanto multiplico 15 para q m de 100?
Answers
Answer:
1500 is your answer
Step-by-step explanation:
Answer:
no hay numero entero y el decimal es un numero infinito.
Step-by-step explanation:
si dividimos 15/100 nos da un total de 3.333+ asi que no hay un numero entero que nos de este resultado
Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe
Answers
Answer:
Step-by-step explanation:
You want to factor out perfect squares if they exist.
[tex]1.\ \sqrt{36}=\sqrt{6^2}=6\\ \\ 2.\ \sqrt{40}=\sqrt{2^2(10)}=2\sqrt{10}\\ \\ 3.\ \sqrt{75}=\sqrt{3(5^2)}=5\sqrt{3}\\ \\ 4.\ \sqrt{120}=\sqrt{2^2(30)}=2\sqrt{30}\\ \\ 5.\ \sqrt{84}=\sqrt{2^2(21)}=2\sqrt{21}\\ \\ 6.\ \sqrt{48}=\sqrt{4^2(3)}=4\sqrt{3}[/tex]
AFTER allowing 4 % discount on the marked price of an article there is a profit of 20 % if the cost price of the article is RS 800 find marked price ? plz plz plz plz plz saw plz
Answers
Answer:
Rs. 1000Step-by-step explanation:
Let the marked price is x
Discount 4% ⇒ x - 4% = 0.96xCP = Rs. 800 Profit after discount = 20%SP = 800 + 20% = 800*1.2 = Rs. 960Now we have below equation:
0.96x = 1.2*8000.96x = 960x = 960/0.96x = 1000MP is Rs. 1000
y = 4x - 6
y = 4x + 10
What is the solution to the system?
Answers
Answer:
No Solution
Step-by-step explanation:
y = 4x - 6
y = 4x + 10
You can set them equal to each other because they both are y.
4x-6=4x+10
-6=10
No Solution
what is the explanation to x^2 = -5x
Answers
*Answer*
x=0 or x=−5
Step-by-step explanation:
Let's solve your equation step-by-step.
x2=−5x
Step 1: Subtract -5x from both sides.
x2−−5x=−5x−−5x
x2+5x=0
Step 2: Factor left side of equation.
x(x+5)=0
Step 3: Set factors equal to 0.
x=0 or x+5=0
x=0 or x=−5
Round 94584 to the nearest hundreds
Answers
Answer:
94600
Step-by-step explanation:
A hundred has 2 zeroes. To round a number to the nearest hundreds, just look at the last 2 digits (84). If it is 5 or bigger, add 1 digit (as I did in this exercise) and so it becomes 94600.
Solve the equation using addition or subtraction
22 + 15 = d - 17
Answers
Answer:
d=54
Step-by-step explanation:
22 + 15 = d - 17
37=d-17
54=d
d=54
Answer:
d=44
Step-by-step explanation:
22+15=37 so ?-17=37 well its 44 because 44-17=37
im new can anyone help
Answers
Answer:
We have the equation:
[tex]W = W_0*(\frac{1}{2})^{0.36*t}[/tex]
Where:
W₀ is the initial area of the wound, and t is the time in days.
Now, if we initially have a wound of 25 mm^2, then:
W₀ = 25mm^2
And we can replace it in the equation, then we get:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*t}[/tex]
We want to know the size of this wound after:
a) 1 day.
We know that t represents time in days, so here we just need to replace t by one, then:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*1} = 19.5 mm^2[/tex]
b) 1 week
Again, t represents the time in days, so we need to write this in days.
We know that:
1 week = 7 days.
then t = 7
The size of the wound after 7 days is:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*7} = 4.36 mm^2[/tex]
Please help! 50 points + brainliest
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.
Table image link: https://dw6y82u65ww8h.cloudfront.net/organisations/328/36daf134-883d-4846-af2b-8fd9357d20cf/buffalo_temp.gif
Which interval contains the median temperature?
a. 60 - 69
b. 80 - 89
c. 70 - 79
d. 50 - 59
Answers
Answer:
60-69
Step-by-step explanation: