If f(x)=x^3+11x^2+31x+21 and x+1 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
Answers
9514 1404 393
Answer:
{-1, -3, -7}
Step-by-step explanation:
Dividing the given polynomial by (x+1) yields a quotient of x^2 +10x +21. That factors as (x+3)(x+7), so the three zeros are ...
x ∈ {-1, -3, -7}
__
The factors of x^2 +10x +21 are found by looking for factors of 21 that have a sum of 10. Those factors are 3 and 7, so the complete factorization of f(x) is ...
f(x) = (x +1)(x +3)(x +7)
The zeros are the values of x that make these factors be zero. In each case, that x-value is the opposite of the constant in the binomial term.
Related Questions
A sales associate at an electronics store earns 9.5% commission on her total yearly sales. Last year, the sales associate earned an income of $11,875. What is the total amount of sales that the associate made last
year?
Answers
The total amount of sales made by the associate last year is $124,000.
What is defined as the percentage?The term percent means "out of every hundred" or "per hundred."
The term is based on the Latin phrase per centum, which means "by the hundred." So, for every 100 units of something, a single percent represents one of those hundred units, or one percent.To calculate a percentage, divide the fraction of the total by the total but also multiply by 100.Now, as per the given question;
Let the total sales done by the associate in last year is 'x'.
The commission earned on the total sales is 9.5%
Thus, 9.5% of x can be written as;
= (9.5×x)/100
The total earning from the sales is $11,875.
Thus,
(9.5×x)/100 = 11,875
Simplify the equation to find x.
x = (11,875×100)/9.5
x = 125,000
Therefore, the total sales done by the commissioner in last year was $125,000.
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Which number is an irrational number
Square root 100
1/8
-2.2675
3 square root of 16
Answers
Answer:
square root 100
3 square root of 16
I need help and D. Is x>-25
Answers
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
Math help pls!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
You got this. The answer is pretty obvious just use what you see on the graph, and think about what the question is asking. If still confused lmk, and i will answer it in the comments
Step-by-step explanation:
Answer:
Pam.
Step-by-step explanation:
You can conclude from the graph that Pam is driving faster because she drove 150 miles in three hours, while Jim drove 150 miles in 5.
What number is 260% of 28
Answers
Answer:
72.8
Step-by-step explanation:
Answer:
20.72 is the answer because.260×28= 7.28
5. Mr. Franklin needs to purchase 60 AA batteries. A nearby store sells a 20-pack of AA batteries for $12.49 and a 12-pack of the same batteries for $7.20. Would it be less expensive for Mr. Franklin to purchase the batteries in 20-packs or 12-packs? What is the difference between the costs of one battery from each pack?
Answers
Answer: See explanation
Step-by-step explanation:
A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:
= $12.49 / 20
= $0.6245
The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:
= $7.20 / 12
= $0.6
Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.
The difference between the costs of one battery from each pack will be:
= $0.6245 - $0.60
= $0.0245
Answer:
$0.0245
Step-by-step explanation:
Write a linear equation that is perpendicular to y = -4x - 6 and passes through the point (4, 10).
Answers
Answer:
Y= 1/4x + 9
Step-by-step explanation:
The probability distribution shows the results of a survey of people’s fear of flying on an airplane. Find the probability that a person has never flown given that he/she is a person who is afraid of flying. Round to the nearest thousandth. History of Flying Survey Have Flown Before Have Not Flown Before Totals Afraid to Fly 0.01 0.07 0.08 Not Afraid to Fly 0.79 0.13 0.92 Totals 0.8 0.2 1
Answers
The probability that a person has never flown given that he/she is a person who is afraid of flying is 0.875
How to find the probability that a person has never flown given that he/she is a person who is afraid of flying?The table of values is given as
Flown Before Not Flown Before Totals
Afraid to Fly 0.01 0.07 0.08
Not Afraid to Fly 0.79 0.13 0.92
Totals 0.8 0.2 1
The probability that a person has never flown given that he/she is a person who is afraid of flying is calculated as
P = P(Afraid of flying and Never flown before)/P(Never flown before)
This gives
P = 0.07/0.08
Evaluate
P = 0.875
Hence, the probability that a person has never flown given that he/she is a person who is afraid of flying is 0.875
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Write y+4=−1/2(x−2) in slope intercept form .
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 4 = - [tex]\frac{1}{2}[/tex] (x - 2) ← distribute
y + 4 = - [tex]\frac{1}{2}[/tex] x + 1 ( subtract 4 from both sides )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
-x + 4 = -12
What's x
Answers
Answer:
x =16
Step-by-step explanation:
-x+4=-12
-4 -4
-x=-16
/- /-
x=16
Answer:
x=16
Step-by-step explanation:
-x+4=-12
Subtract 4 from -12 ( -16 )
Divide
-x/-16 ( 16 )
x=16
Ms. Graves gave her class 12 minutes to read. Carrie read 5\frac{1}{2} pages in that time. At what rate, in pages per hour, did Carrie read?
Answers
Answer: 27 1/2 pages per hour
Step-by-step explanation:
if Carrie reads
12 min ........................5 1/2 pages
60 min........................5*(5 1/2) pages=27 1/2 pages
uestion to Answer:
1. What can you say about the value of a polynomial
when P(a)=0
Answers
Answer:
The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Step-by-step explanation:
The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.
Given
[tex]P(a) = 0[/tex]
The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Take for instance, the polynomial is:
[tex]P(x) = x^2 - x - 2[/tex]
And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.
[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]
Factorize the numerator
[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]
[tex]\frac{P(x)}{x} =x + 1}[/tex]
See that x - 2 is a divisor
To check
Set x - 2 to 0
[tex]x -2 = 0[/tex]
[tex]x = 2[/tex]
So, we have:
[tex]P(x) = x^2 - x - 2[/tex]
[tex]P(2) = 2^2 - 2 - 2[/tex]
[tex]P(2) = 4 - 2 - 2[/tex]
[tex]P(2) = 0[/tex]
You want to purchase a new bike that costs $142.68. To save for the bike, you mow your neighbor's yard for $40 each week. How much money will you have left over if you buy the bike after saving for 4 weeks?
$10.00
$15.67
$17.32
$35.67
need help pls answer
Answers
Answer:
Step-by-step explanation:
40 x 4 = 160
160 - 142.68 = 17.32
Answer:It will take 4 weeks and you will have 17.32$ left
Step-by-step explanation:Multiply 40x4= $160 and subtract $142.68-$160.00= $17.32
i was gone most of this school week and now i’m behind :( can you please help me out
You need to draw up a floor plan of your kitchen so that you can complete a
remodel. The kitchen is 25 ft by 15 feet. You kid sister says that your scale drawing
should be 10 inches by 5 inches. You think she is incorrect. Explain why and give a
better set of measurements for the scale drawing.
please give me the answer and explain it so i can understand it i would greatly appreciate it i turned this up to 35 pts :(
Answers
Answer:
first, not much up because the room is by feat, and hers is by inches, I don't really know the rest
I will give brainlist!!
Answers
Answer:
G. 60m
H. 7.5cm
Step-by-step explanation:
0.8 = [tex]\frac{8}{10}[/tex]
Perimeter of figure = (12 + 10 + 16 + 10) × [tex]\frac{10}{8}[/tex]
= 48 × [tex]\frac{10}{8}[/tex]
= 60m
1.5 feet --- 0.75cm
15 feet --- [tex]\frac{15}{1.5}[/tex] × 0.75cm = 7.5cm
Answer:
Step-by-step explanation:
BC= 9.6
CD=8
BA=8
AD= 12.8
New perimeter is 38.4
And the statue is 7.5 cm tall
−7x+5+2x−9=11
what is x?
Answers
Answer:
-3
Step-by-step explanation:
graph the following equation using the slope intercept method
3x+5y=-15
Answers
Answer:
Step-by-step explanation:
HELP HELP HELP!!!!!is this correct?if not which one is correc
Answers
Answer:
Step-by-step explanation:
it has 2 solutions, 0 and 11
PLEASE HELP!!!!
5. What is the domain and range of your entire roller coaster? (HINT: use compound
inequalities)
Domain:
Range:
Answers
Answer:How to find the domain of a function?
Write the problem. ...
Set the terms inside the radicand to be greater than or equal to 0. You cannot take the square root of a negative...
Isolate the variable. ...
State the domain correctly. ...
Find the domain of a function with a square root when there are multiple solutions. Let's say you're working with the...
Step-by-step explanation:
Find the equation of the line. Use exact numbers.
Answers
Answer:
y=1/2x-3
is the slope intercept form
Step-by-step explanation:
Hope this helps :) Have a great day!!!
Given f(x)=3x-1, solve for x when f(x)=-7.
Answers
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x - 1
f(x) = -7
Step 2: Solve for x
Substitute: -7 = 3x - 1Isolate x term: -6 = 3xIsolate x: -2 = xRewrite: x = -2what are the the constant term, variable term, coefficient terms of that equations? I NEED HELP!!!!
SOMEONE PLEASE HELP ITS WORTH 30 POINTS
Answers
Solving the Question
We're given the following expression:
[tex]-4.9t^2+22t+1.8[/tex]
First, let's define the different types of terms in an expression.
Constant term - an expression that does not contain any variables (ex. 5, 14²)Variable term - an expression that contains at least one variable (ex. 8x, 9x³)Coefficient term - the number that is multiplying the variable in a variable term (ex. in the term 9x³, 9 is the coefficient term)Let's look at the given equation again:
[tex]-4.9t^2+22t+1.8[/tex]
Knowing what the different types of terms are, we can identify them in this expression:
Constant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 22AnswerConstant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 22What is f(-4) if f(x)=-2x-8?
Answers
Step-by-step explanation:
First we find the function
g
(
f
(
x
)
)
To do this we substitute the variable
x
in
g
(
x
)
for
f
(
x
)
:
∴
g
(
x
)
=
3
x
−
2
g
(
f
(
x
)
)
The graph of f(x)=4x^3-13x+9x+2 is shown below.
How many roots of f(x) are rational numbers?
A. 0
B. 1
C. 2
D. 3
Answers
Answer: 3
Step-by-step explanation:
PLEASE ANSWER! NEED HELP!
Answers
Answer:
^eksponensial^
my answer lies in paper
This equation shows how the number of pies Wyatt can bake is related to the number of additional cups of sugar he buys. p=s + 93 The variable s represents the number of additional cups of sugar Wyatt buys, and the variable p represents the total number of pies he can bake. How many additional cups of sugar does Wyatt need in order to bake a total of 95 pies? additional cups of sugar
Answers
Answer:
2
Step-by-step explanation:
Distance (m)
20
10
Moving Objects
A
B
10
Time (s)
20
5. The graph shows two objects moving at
a constant speed. Use the graph to
compare the unit rates. (1 pt)
Answers
Answer:
you should draw that couse i experience like that to
maybe can help
Calculate the missing terms of each arithmetic sequence given below. Each row represents an arithmetic sequence in which the first and the last term are given. First term -20 54 10 Second tern Third term Fourth term 19 105 -14
Answers
Answer:
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds. Show all work and explain your answers clearly. Use complete sentences.
What is the dolphin's maximum height?
Answers
Answer:
96
Step-by-step explanation:
you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96
Brianna’s family bought 7 tickets to an amusement park for $202. If Adult tickets were $34 and youth tickets were $22, how many adult tickets and how many youth tickets did her family buy?
Answers
Answer:
4 adults tickets and 3 youth
Step-by-step explanation:
Trust me bro