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vlada-n [284]
3 years ago
15

a teacher will determine the total number of books to odder for a class using the function b(n) = 4n, where n represent the numb

er of students in d class. what is d independent quantity in this situation a. the number of students in d class. b. the total number of books to order. c. the number of books each students need. d. not here
Mathematics
1 answer:
Goshia [24]3 years ago
6 0
<span>The answer is a. the number of students in d class.</span>
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?
Maslowich
<span> f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}

</span> f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
 f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
 f(2)=[3(2) -6]]/2 = 0/2 = 0
 f(4)=[3(4) -6]]/4 = 6/4 = 1.5
 f(5)=[3(5) -6]]/5 = 9/5 = 1.8
<span>
answer is 

</span><span>c {5, 9, 0, 1.5, 1.8} </span>
3 0
3 years ago
Read 2 more answers
Is x^-2 -1 a polynomial
Bond [772]

Answer:

Yes, it is a polynomial.

Step-by-step explanation:

3 0
2 years ago
PLEASE HELP ME ASAP SOMEONE
Eduardwww [97]

Answer:

E (3,-1)   D (-2, -2)   G (-1, 3)    F (3, 2)

Step-by-step explanation:

90 degrees = (y, -x)

that means you take the ordered pair you want to rotate and plug the x and y into the new spots.  

for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)

8 0
2 years ago
Solve for x.
Daniel [21]

Answer:

x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}

Step-by-step explanation:

-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}

4 0
3 years ago
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