• ### Fifteen patients must be assigned to one of three doctors. If each doctor must get at least 4 patients then how... (cont)?

many different ways can the patients be assigned?
many different ways can the patients be assigned?
5 answers · 1 day ago
• ### Solution set to (5x-3)(4x+1)=0?

13 answers · 19 hours ago
• ### Maths homework help?

Best answer: 　 7. p(x) = a (x − 2) (x + 2) (x − b) (x − c) This polynomial has roots: 2, −2, b, c and leading coefficient a. Since we have 3 unknown quantities, we need 3 conditions to solve. So we cannot find a unique polynomial where p(0) = 4, p(1) = −3 p(0) = a(−2)(2)(−b)(−c) = 4 −4abc = 4 abc = −1 p(−3) =... show more
7.

p(x) = a (x − 2) (x + 2) (x − b) (x − c)

This polynomial has roots: 2, −2, b, c and leading coefficient a.
Since we have 3 unknown quantities, we need 3 conditions to solve.
So we cannot find a unique polynomial where p(0) = 4, p(1) = −3

p(0) = a(−2)(2)(−b)(−c) = 4
−4abc = 4
abc = −1

p(−3) = a(−1)(3)(1−b)(1−c) = −3
−3a(1−b)(1−c) = −3
−a(1−b)(1−c) = −1

abc = −a(1−b)(1−c)
bc = −(1−b)(1−c)
bc = −1 + b + c − bc
c = (b−1)/(2b−1)

abc = −1
ab(b−1)/(2b−1) = −1
ab² − ab = −2b + 1
ab² + (2−a)b − 1 = 0

b = ((a−2) ± √((2−a)²+4a)) / (2a), where a > 0 or a ≤ −4
b = (a − 2 ± √(a²+4)) / (2a)
c = (a − 2 ∓ √(a²+4)) / (2a)

p(x) = 0 ---> x = ± 2, (a − 2 ± √(a²+4)) / (2a)

If leading coefficient a = 1, then we get:
p(x) = (x − 2) (x + 2) (x − (−1+√5)/2) (x − (−1−√5)/2)
p(x) = 0 ----> x = ± 2, (−1±√5)/2

11.

p(x) = x³ + ax² + bx − 18

(x + 2) is a factor of p(x) iff p(−2) = 0
−8 + 4a − 2b − 18 = 0
4a − 2b = 26
2a − b = 13
b = 2a − 13

−24 is remainder when p(x) is divided by (x−1) iff p(1) = −24
1 + a + b − 18 = −24
a + b = −7
a + (2a − 13) = −7
3a = 6
a = 2
b = 2(2)−13 = −9

p(x) = x³ + 2x² − 9x − 18

12.

You have unmatched parentheses. Did you mean: (x+2)(Q(x)+3) or (x+2)Q(x)+3 ?

x³ − 2x² + a = (x+2) (Q(x) + 3)

When x = −2
−8 −8 + a = (−2+2) (Q(−2) + 3)
−16 + a = 0
a = 16

x³ − 2x² + a = (x+2) Q(x) + 3

When x = −2
−8 −8 + a = (−2+2) Q(−2) + 3
−16 + a = 0 + 3
a = 19
6 answers · 3 days ago
• ### What's fortnight?

15 answers · 2 days ago
• ### A certain factory employs 60 workers . if 4 out of every 5 workers are married, how many married workers are employed by the factory?

15 answers · 2 days ago
• ### Would you quit? Moreover, would you give notice?

Retail job. Hour round trip. Shitty 3 hour shifts almost all week. Work full weekend shifts every weekend. Work every holiday but Christmas. Coworkers create rumor mills along with management. Calls you after hours when you're not there to try and drag you in to drama. Management asking for various... show more
Retail job. Hour round trip. Shitty 3 hour shifts almost all week. Work full weekend shifts every weekend. Work every holiday but Christmas. Coworkers create rumor mills along with management. Calls you after hours when you're not there to try and drag you in to drama. Management asking for various personal favors outside of work. Being turned down for a promotion within even after you took a higher position over the holidays, saved their butt, and are doing major parts of assistant managers job that the company forbids low-level employees from touching, because assistant manager doesn't know how to do it, but you do. Picking up the slack for 2 medically-impaired workers & a flat out slacker of a worker put on the same shift as you because you are the hardest worker and management knows you will do everyone's job, but gives no recognition. Said slacker leaves notes to management and acts like they did it all. Management crossing boundaries and calling near 10pm just to chat with you when you actually have a night away from work. A day doesn't go by without hearing from them. Management throwing around racial "jokes" around you. Laughing at each other "looking like a white girl" and calling you "Becky" for no reason. And insulting when you won't go out places after work bc you have a life at home. Now, upper store manager is cheerful but secretly undermining, so I don't know if they deserve two weeks or not. I'm about to go to school.
11 answers · 3 days ago
• ### What is a 58 out of 80 precentage?

I just finished my midterm, and I think I failed. Is that a passing grade or no?
I just finished my midterm, and I think I failed. Is that a passing grade or no?
9 answers · 21 hours ago
• ### 5/10 10/9 12/6 3/2 smallest to largest?

8 answers · 15 hours ago
• ### What adds to be 2 and multiplies to be -3?

15 answers · 3 days ago
• ### How do I make my brain smarter for math and stuff like we don't know?

7 answers · 6 hours ago
• ### The sum of the squares of two consecutive off integers is 74. Find the two integers?

14 answers · 3 days ago
• ### How many numbers between 1 and 100 have an A in their spelling?

9 answers · 1 day ago
• ### How would you round .3899 to 3 places? What's the correct way? .381 .390 other?

7 answers · 9 hours ago
• ### How many crewmen on a submarine?

7 answers · 13 hours ago
• ### The terms 3x - 2, 6x + 1, & 9x + 4 are consecutive terms of an arithmetic sequence. How will you find the first three terms of the sequence?

7 answers · 14 hours ago
• ### The product of two consecutive room numbers is 240. Find the room numbers. x= x+1=?

16 answers · 3 days ago
• ### Is this true or false, "the formula for the surface area of a circular cylinder is 2(area of base) + 2(area of curved surface)?

Best answer: False.......you have two circular ends but only one curved surface.
If you open out a cylinder into a net, you will see you have tow circles (ends) and a rectangle.
Area of one end = pi x radius squared,
Area of rectangle ( curved surface) = pi x diameter ( the circumference of the end circle) x length of cylinder.
Best answer: False.......you have two circular ends but only one curved surface.
If you open out a cylinder into a net, you will see you have tow circles (ends) and a rectangle.
Area of one end = pi x radius squared,
Area of rectangle ( curved surface) = pi x diameter ( the circumference of the end circle) x length of cylinder.
9 answers · 2 days ago
• ### What is the probability of picking a purple marble?

There's 4 reds, 5 blues, 3 yellows, and 2 purples in the bag. If you randomly pick a marble out of the bag, what is the probability of picking a purple? My answer is 2/14?
There's 4 reds, 5 blues, 3 yellows, and 2 purples in the bag. If you randomly pick a marble out of the bag, what is the probability of picking a purple? My answer is 2/14?
6 answers · 11 hours ago
• ### Find the equation of the line that passes though (1,8). And is parallel to y=3x-4?

6 answers · 17 hours ago
• ### Multivariable Calculus Question?

Suppose that x^2+y^3-z^4=1 and z^3+zx+xy=3. a.Take the total differential of both these surfaces. b.The two given surfaces intersect in a curve along which y is a function of x. Find dy/dx at (x,y,z)=(1,1,1). You should use your result from a. For this question, I tried differentiating both sides but I'm not... show more
Suppose that x^2+y^3-z^4=1 and z^3+zx+xy=3. a.Take the total differential of both these surfaces. b.The two given surfaces intersect in a curve along which y is a function of x. Find dy/dx at (x,y,z)=(1,1,1). You should use your result from a. For this question, I tried differentiating both sides but I'm not sure with what variable I do that. Also, I have no idea what to do for part B.
4 answers · 4 days ago