Solve the problem.At a local grocery store the demand for ground beef is approximately 50 pounds per week when the price per pound is $4, but is only 40 pounds per week when the price rises to $5.50 per pound. Assuming a linear relationship between the demand x and the price per pound p, express the price as a function of demand. Use this model to predict the demand if the price rises to $5.80 per pound.

A. p = 0.15x + 11.5; 38 pounds
B. p = 11.5x + -0.15; 40 pounds
C. p = - 0.15x + 11.5; 38 pounds
D. p = - 0.15x - 11.5; 40 pounds


Answer: C

Mathematics

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Consider the logistic equation. Find the equilibrium solutions. A detailed direction field is not needed. Assume  and P'(t) = 0.05P

A. P = 400 B. P = 0 and P = 800 C. P = 0 and P = 400 D. P = 0 and P = 200

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Complete the following:  (i) Find the x- and y-intercepts.  (ii) Determine the multiplicity of each zero of f.  (iii) Graph y = f(x).f(x) = 2(x + 4)(x + 1)2

A. (i) x-ints are -4 and -1; the y-int is 8
(ii) -4 has multiplicity 1,
 -1 has multiplicity 2;
(iii) 
 
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(ii) -4 has multiplicity 2,
 -1 has multiplicity 1;
(iii) 
 
C. (i) x-ints are 4 and 1; the y-int is -8
(ii) 4 has multiplicity 1,
 1 has multiplicity 2;
(iii) 
 
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(ii) -4 has multiplicity 1,
 1 has multiplicity 2;
(iii) 
 

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Factor out the greatest common factor.7y + 21

A. 7y B. 21 C. 7(y + 3) D. no common factor (except 1)

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Divide. Write the answer in lowest terms and as a whole or mixed number where possible.2 ÷ 

A.
B.
C. 1
D. 3

Mathematics