Name the remainder for the quotient and describe or show how you found the remainder.
(x^3 - x^2 - 17x -15) ÷ (x-5)
Answers
Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
Answer:
Qoutient=x^2+4x+3
Remainder=0
Related Questions
Which image shows 1 7/8 on a number line?
Answers
Answer:
A
Step-by-step explanation:
brainlest plz
Question 3
10 pts
Determine if the equations are Parallel, Perpendicular, of Neither.
a
1
y = -3x + 6 and
y = — X 8
3
Neither
O Perpendicular
O Parallel
Question
Answers
Answer:
Perpendicular they cross at a 90 degree angle
find the prime factorization of the composite number
2725
Answers
Answer:
5, 25, 109
Step-by-step explanation:
5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.
Solve the equation.
∣x−2∣=∣4+x∣
Answers
-2 = 4
this statement is not true, so there is no solution.
hope this helps. ❤️
Mike earned $11.75 per hour yesterday. He worked a total of 8.2 hours last week. How much money did Mike earn yesterday?
Answers
Total solar eclipses occur on a regular and predictable basis. One that could be viewed in parts of the United States occurred on March 7, 1970. The saros cycle is a period of 18 years, 11 1 3 days, and solar eclipses occur according to this cycle. For the purposes of this exercise, we ignore leap years and assume that a year is exactly 365 days. Because the saros cycle is not a whole number of days, but instead is one-third of a day longer than a day, at the end of the saros cycle, Earth will have rotated one-third revolution beyond its location at the beginning of the cycle. Thus, if a solar eclipse is viewable at a certain location, the next solar eclipse will not be. How long after March 7, 1970, will a solar eclipse again be viewable from the United States?
Answers
Answer:
Step-by-step explanation:
The previous solar eclipse occured on March 7 , 1970 .
saros cycle has duration of 18 years , 11 + 1/3 days
So the earth goes 1 / 3 of its daily rotation beyond its previous location in the next solar eclipse on the earth . In order that we get solar eclipse on the same point on the earth , we shall have to wait for third solar eclipse
So total period of wait = 18 x 3 years + 11 x 3 + 1 = 54 years and 34 days
Date of next solar eclipse on the same spot = 1970 + 54 = 2024
7 th March + 34 days = April 10
likely date = April 10 , 2024 .
Consider this equation. (4x)1/3 - x = 0 The first step in solving this equation is to ___The second step is to ____ Solving this equation for x initially yields _____ Checking the solutions shows that _____
Answers
The first step in solving this equation is to _taking lcm__The second step is to _trsanpose the denominator to rhs___ Solving this equation for x initially yields__0___.
Given equation is [tex]\frac{4x}{3} -x=0[/tex]
On solving, [tex]4x-3x=0[/tex]
[tex]x=0[/tex]
Here the solution of the equation is 0.
The first step in solving this equation is to _taking lcm__The second step is to _trsanpose the denominator to rhs___ Solving this equation for x initially yields__0___.
For more details on solving equations follow the link :
https://brainly.com/question/11897796
__________ refers to the degree of correlation among independent variables in a regression model. a. Multicollinearity b. Tolerance c. Rank d. Confidence level
Answers
Answer:
Option A: Multicollinearity
Step-by-step explanation:
Multicollinearity is said to be present when there are high correlations between two or more independent variables called predictor variables. In simple terms, Multicollinearity refers to when the independent variables present in a regression model are correlated.
Tolerance is simply used to detect Multicollinearity.
Rank is basically the model in which the ranks of the dependent variable are said to have regressed on a set of characteristics in the experiment known as covariates.
Confidence level is the percentage of all possible samples that we can expect to be included within the true population parameter.
Looking at all the definitions, the one that fits with the statement in the question is Multicollinearity.
Twice a number from one hundred is thirty.
Answers
Answer:
35
Step-by-step explanation:
100 - 30 = 70
70 / 2 = 35
Please let me know anything's wrong!
Answer: 35
we have so much in common, we argue all the time, you always say im wrong, IM PRETTY SURE IM RIGHT
Hamdah wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function. =Aw−50017w Answer the following questions. (a) If Hamdah still needs $211, how many weeks has she been saving? weeks (b) How much money does Hamdah still need after 5 weeks? $
Answers
Answer:
(a) 14.11 dollars (b) 204 dollars
Step-by-step explanation:
(a) 500 - 211 = 289 289 '/. 17 = 14 r:7 14.7 dollars
(b) 17 x 5 = 85 289 - 85 = 204
hope this helped :)
Answer:
If Hamdah still needs $211, she has been saving for 17 weeks(17b). Hamdah still needs $126 after 5 weeks
Step-by-step explanation:
Subtract $211 from $500, you will get $289. After you must divide $289 by 17 because Hamdah earns $17 each week, you will get 17 and that represents how many weeks she has been saving. Hamdah still needs $126 because taking the information from the last question she has $289 (289+211 equals 500, 211 is how much she needs and 289 is how much she has) so we subtract 289 from 500 and we will get 211, then you subtract the product of $17 × 5 weeks from 211 and you will get $126. So, after 5 weeks, Hamdah will still need $126.
Sara has $175 and wants to start saving more money so she opens a savings account and deposits the $175 in it to start. The function that represents Sara's account is f(x)=175 + x, where x is that amount of money in dollars that Sara deposits after her initial $175. What is a reasonable range for the function?
Group of answer choices
All real numbers greater than or equal to 175
All real numbers
All real numbers greater than or equal to 0 and less than or equal to 175
All real numbers greater than or equal to 0
Answers
Answer:
all real numbers greater than or equal to 175
Step-by-step explanation:
Whats the answer to the picture?
Answers
Answer:
I believe C is the answer (I have not done this in a while)
Step-by-step explanation:
-3(4) = -12 < 0
4 = 0
4^2 = 16 > 0
f(4) = 0
An electronics company has a contract to deliver 21,475 radios within the next four weeks. The clientis willing to pay $20 for each radio delivered by the end of the first week, $18 for those delivered by theend of the second week, $16 by the end of the third week, and $14 by the end of the fourth week. Sinceeach worker can assemble only 50 radios per week, the company cannot meet the order with its presentlabor force of 40; hence it must hire and train temporary help. Any of the experienced workers can betaken off the assembly line to instruct a class of three trainees; after one week of instruction, each of the trainees can either proceed to the assembly line or instruct additional new classes.
At present, the company has no other contracts; hence some workers may become idle once the delivery is completed. All of them, whether permanent or temporary, must be kept on the payroll 'til the end of the fourth week. The weekly wages of a worker, whether assembling, instructing, or being idle, are $200; the weekly wages of a trainee are $100. The production costs, excluding the worker's wages, are $5 per radio. The company's aim is to maximize the total net profit.
Required:
Formulate this as an LP problem (not necessarily in the standard form).
Answers
Step-by-step explanation:
See attached a detailed annotation of the LP formulation
let is describe the problem bellow.
An electronics company has a contract to deliver 21,475 radios within
the next four weeks. The client is willing to pay
$20 for each radio delivered by the end of week 1
$18 for each radio delivered by the end of week 2
$16 for each radio delivered by the end of week 3
$14 for each radio delivered by the end of week 4
Each worker can assemble 50 radios/wk.
Size of present workforce = 40.
Any experienced worker can be taken off the assembly line to instruct a class
of three trainees; after one week of instruction, each of the trainees can
either proceed to the assembly line or instruct additional new classes.
Weekly wages for experienced workers: $200
Weekly wages for trainees: $100
Production costs, excluding wages: $5/radio.
Find the slope of the line passing through the pair of points.
(9, 4) and (5, –3)
Answers
Answer:
-7/4
Step-by-step explanation:
slope= y2-y1 / x2- x1
= -3-4 / 5-9
= -7 /4
Study the figure.
Find the area of the shaded region. Use 3.14 for it and round your answer to the nearest hundreth.
Answers
Answer:
So we know the formula to calculate the area of the circular sector:
S=(r^2*π*a)/306°=
(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.
Step-by-step explanation:
r - radius of the circle
a - corner of the circular sector
S - surface
Evaluate −3x+5y when x=16 and y=14. Write your answer as a fraction in simplest form.
Answers
Answer:
22??
Step-by-step explanation:
-3x + 5y
-3(16) + 5(14)
-48 + 70
22
Step-by-step explanation:
We need to place the value of x and y in the equation.
Let's Do!
[tex]\sf{ - 3x + 5y}[/tex]
[tex]\rm{ - 3(16) + 5(14)}[/tex]
[tex] \sf{- 48 + 70}[/tex]
[tex] \rm{= 22}[/tex]
As a fraction,
[tex]\bf{ = \dfrac{22}{1}}[/tex]
is the required answer.
Hope it helps :)
Find an equation in slope-intercept form of the line that has slope 8 and passes through point A(1,5).
a. y = 13x + 8
b. y = 8x + 13
C. y = -8x + 13
d. y = -8x - 13
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
0 0
Answers
Answer:
The answer is C
Step-by-step explanation:
multiply (x-2)(3x+4) using the distributive property select the anwser choice showing the correct anwser
A (x-2)(3x)+(3x)(4)
B (x-2)(3x)+(x-2)(4)
C (x)(3x)+4(x)+3x+4
D (x)(3x+4)+(x-2)
Answers
Answer:
Tbh this question has me confused, but I would go with C? If the question is looking for the distributive property, then C may be the way to go.
9. Classify the equation, 7x + 10 = 7x + 10, as having one solution, no solution, or
infinitely many solutions.
Answers
Answer:
No solution
Step-by-step explanation
7x+10=7x+10
Step 1: Subtract 7x from both sides.
7x+10−7x=7x+10−7x
10=10
Step 2: Subtract 10 from both sides.
10−10=0
There are no solution.
Answer:
Step-by-step explanation:
no solution
Which is a perfect square between 100 and 144
Answers
Answer:
121 is the perfect square between 100 and 144.
1) [tex] \sqrt{4} [/tex]
A. real numbers.
B. not real number
2) 1/2
A. real number
B. not real number
Answers
I'm 99 percent sure both are real numbers
the set of all integers are a subset of real numbers true or false?
Answers
Is true.
wksnsksndksndks
What is the addititve inverse of 63
Answers
Since the additive inverse of 63 is -63, additive inverse is also known as the opposite number.
Answer:
It is -63
Step-by-step explanation:
What you add to a number to get zero. The negative of a number.
cosA + cosB - cosC = -1 + 4cosA/2 cosB/2 sinC/2
Answers
Answer:
Step-by-step explanation:
(cos A+ cos B)-cos C
[tex]=2cos \frac{A+B}{2}cos \frac{A-B}{2}-cos C~~~...(1)\\A+B+C=180\\A+B=180-C\\\frac{A+B}{2}=90-\frac{C}{2}\\cos \frac{A+B}{2}=cos(90-\frac{C}{2})=sin \frac{C}{2}\\cos C=1-2sin^2\frac{C}{2}\\(1)=2 sin \frac{C}{2} cos \frac{A-B}{2}-1+2sin^2\frac{C}2}\\=2sin\frac{C}{2}[cos \frac{A-B}{2}+sin \frac{C}{2}]-1~~~...(2)\\\\now~again~A+B+C=180\\C=180-(A+B)\\sin\frac{C}{2}=sin(90-\frac{A+B}{2})=cos \frac{A+B}{2}\\(2)=2sin\frac {C}{2}[cos \frac{A-B}{2}+cos \frac{A+B}{2}]-1\\[/tex]
[tex]=-1+2sin\frac{C}{2}*2cos \frac{\frac{A-B}{2} +\frac{A+B}{2} }{2} cos \frac{\frac{A-B}{2} -\frac{A+B}{2} }{2} \\=-1+4sin\frac{C}{2} cos \frac{A}{2} cos\frac{-B}{2} \\=-1+4 cos \frac{A}{2} cos \frac{B}{2} sin \frac{C}{2}\\(cos(-B)=cos B)[/tex]
what is a product of 4/5 x 3/7
Answers
Answer:
12/35
Step-by-step explanation:
if you cross multiply the two numbers you will get your answer
Answer:
.583
Step-by-step explanation:
Which expression is equivalent to 3m – 6?
Answers
6m - 12
Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each time she deposits money into her account, she will deposit $20. If Nancy makes x deposits into her bank account in a month, her account balance can be represented by the function f(x)= 20x+320.What is the range of the function for this situation?
Answers
Answer:
Step-by-step explanation:
3[a(4b - c)] for a = 2, b =3, and c = 2.8.
Answers
Hello!
Step-by-step explanation:
3[a(4b - c)] for a = 2, b =3, and c = 2.8.
-3[a(4b - c)]
-3[2(43 - 2.8)]
You first have to do the Equation that is in brackets and slowly make your way up.
and you will find that ur awnser is = 241.2
Hope it helped you!
The value of the expression 3[a(4b - c)] for a = 2, b =3, and c = 2.8
will be;
⇒ 55.2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3[a(4b - c)]
And, The values are a = 2, b =3, and c = 2.8.
Now,
Find the value of expression by substitute the values a = 2, b =3, and
c = 2.8. as;
The expression is,
⇒ 3[a(4b - c)]
⇒ 3 [ 2 (4 × 3 - 2.8)]
⇒ 3 [ 2 (12 - 2.8) ]
⇒ 3 [ 2 × 9.2 ]
⇒ 3 × 18.4
⇒ 55.2
Therefore, The value of the expression 3[a(4b - c)] for a = 2, b =3, and
c = 2.8 will be;
⇒ 55.2
Learn more about the mathematical expression visit:
https://brainly.com/question/16583268
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Find the GCF of the set of numbers 12 30
Answers
Answer: the answer is 6
Step-by-step explanation:
Answer:
D. 6
Step-by-step explanation:
GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.
There are 72 boys and 90 girls on my team for the competition mr. McKelvey would like to arrange all of the students in equal rose with only girls and boys in each row what is greatest number of students that can be in each row
Answers
Answer:
81 in each row
Step-by-step explanation:
81 + 81 = 162
Answer:
18 students
Step-by-step explanation:
72 boys
90 girls
objective: to arrange in rows with equal number (n) of only boys or girls.
To find the maximum number (n) of boys or girls in each row, you need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.
objective: to arrange in rows with an equal number (n) of only boys or girls.
To find the maximum number (n) of boys or girls in each row, we need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.
We will use two methods to find the GCF of two numbers.
Factorize each number to powers of prime and locate the common factors.
72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90
So the GCF/your answer is 18.