Provide an appropriate response.A rectangular sheet of metal has a length that is 4 more than the width.(a)Write the area of the rectangular sheet as a function of the width.(b)Without simplifying, write the ratio of the length of the sheet to the area of the sheet as a function of the width.(c)Simplify the function you wrote in b.(d)What kind of function is this?(e)What is its domain out of context?(f)What is its domain in the given context?

What will be an ideal response?


(a)a(w) = w(w + 4)
(b)f(w) = 
(c)f(w) = 
(d)rational function
(e)all real numbers except 0 and -4
(f)w > 0

Mathematics

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Solve the system by graphing. If there isn't a unique solution to the system, state the reason.x = -yy + x = 6

A. inconsistent system of equations B. (1, 1) C. (1, 5) D. dependent equations

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Provide an appropriate response.Simplify:  

Fill in the blank(s) with the appropriate word(s).

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Use a graph to estimate the solution.The cost, T, in hundreds of dollars, of tuition at one community college is given by  where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition if a student registers for 11 credits.

A. About $2300 B. About $1675 C. About $1500 D. About $2700

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Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log19

A.  log195 - 2 log19y - 2 log19x
B. 6 log195 - 2 log19y - log196
C. log195 - log19y - log19x
D.  log195 - 2 log19y - log19x

Mathematics